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CONT:010117Incompressible plane-strain annulus 1<=R<=2: r=sqrt(R^2+3), lambdas (R/r,r/R,1), J=1, radii 2 and sqrt(7), areas 3pi, rho=rho0

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CM Incompressible Annulus StretchesCM Plane Strain Jacobian Density

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010118Compatible F=[[1+2X1,2X2],[X2,X1+2]] on [0,1/2]^2: x=(X1+X1^2+X2^2,X1 X2+2X2), J>=3/2, at (1/2,1/2) x=(1,5/4) and J=9/2

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CM Compatible Deformation GradientCM Path Independent Motion Reconstruction

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010119Constant L=[[1,2],[0,-1]]: F=[[e^t,2 sinh t],[0,e^{-t}]], J=1, v=(x1+2x2,-x2), D=[[1,1],[1,-1]], t=ln2 maps (1,2) to (5,1)

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CM Constant Velocity Gradient FlowCM Stretching Spin Split

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010220Manufactured sigma=q[[2x+y,x-y],[x-y,3y]]: div=q(1,4), b=(-1,-4), at (1,2) traction (8/5,21/5), normal 108/25, shear 31/25

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CM Manufactured Cauchy EquilibriumCM Traction Normal Shear Split

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Stress measures and local balance lawsContinuum Mechanics · Mixed review

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CONT:010221Harmonic Airy phi=q(x^3 y-x y^3): sigma=[[-6qxy,3q(y^2-x^2)],[...]], residuals 0, at (1,2) principals +/-15 and t=(-12,9)

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CM Harmonic Airy StressCM Principal Stress From Airy

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Stress measures and local balance lawsContinuum Mechanics · Mixed review

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CONT:010322Orthotropic engineering Q=[[12,3,0],[3,8,0],[0,0,2]] MPa, e=(0.01,-0.005,0.02): sigma=(0.105,-0.01,0.04) MPa, W=0.00095 MPa; 90-degree material-axis swap gives (0.065,-0.03,0.04) and 0.0008 MPa

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CM Orthotropic Engineering Shear EvaluationCM Material Axis Rotation Versus Observer Frame

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Constitutive theory, objectivity, and thermodynamic restrictionsContinuum Mechanics · Mixed review

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CONT:010323Maxwell E=6 MPa, tau=2 s, ramp eps=t/10 on [0,4] then hold 0.4: sigma=1.2(1-e^{-t/2}), sigma(4)=1.03759766 MPa, sigma(6)=0.381710847 MPa, W=0.27248047 MPa

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CM Maxwell Ramp Closed FormCM Maxwell Hold Relaxation Work

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Constitutive theory, objectivity, and thermodynamic restrictionsContinuum Mechanics · Mixed review

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CONT:010424Prandtl ellipse a=2 m, b=1 m, G theta=3 MPa/m: C=12/5 MPa m, tau=(-24/5 y, 6/5 x), max 24/5 MPa, T=24 pi/5 MN m

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CM Prandtl Ellipse Poisson ConstantCM Prandtl Shear And Torque

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010425Spherical cavity a=0.1 m, p=2 MPa, mu=5 MPa: A=1e-4 m^3, u(a)=0.01 m, at 2a stresses (-0.25,0.125,0.125) MPa, U=400 pi J

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CM Spherical Cavity Lame FieldCM Spherical Cavity Energy Identification

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010426Plane strain u=(alpha x^2, beta x y), alpha=0.01 /m, beta=0.02 /m, lambda=2 MPa, mu=3 MPa: at (2,1) sigma=[[0.4,0.06],[0.06,0.4]] MPa, b=(-0.26,0), W=0.0166 MPa

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CM Manufactured Plane Strain StressCM Manufactured Divergence Body Force

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010527Polynomial streamfunction ψ=UL(X²Y-Y³/3): v=(U(X²-Y²),-2UXY), D=(2U/L)[[X,-Y],[-Y,-X]], flux -2UL/3

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CM Polynomial Streamfunction RecoveryCM Rate OF Deformation And Flux

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Newtonian and generalized fluid continuaContinuum Mechanics · Mixed review

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CONT:010528Power-law η=m γeq^{n-1}: shear and planar extension share γeq=9, η=4/3, dissipation 108 W/m³

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CM Power Law Equivalent ShearCM Viscous Dissipation Comparison

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Newtonian and generalized fluid continuaContinuum Mechanics · Mixed review

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CONT:010629Bar-wave interface Z1:Z2=1:3: Rv=-1/2, Tv=1/2, signed stresses -6,-3,-9 kPa, energy 1/4 and 3/4

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CM Bar Wave Impedance CoefficientsCM Signed Stress Energy Split

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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CONT:010630Strain-gradient rod ω²=c0²k²(1+l²k²): q=3/4 gives cp=2500, cg=3400, ω=62500, high-k cg/cp→2

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CM Strain Gradient DispersionCM Phase Group Velocity

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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CONT:010631Kelvin-Voigt rod: E'=-η∫uxt²≤0, kc=2, roots -1±i√3, double -4, -9±3√5 all Re<0

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CM Kelvin Voigt Characteristic RootsCM Viscoelastic Energy Decay

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910011A 9.00 mm HNBR pad undergoes the homogeneous, orientation-preserving deformation whose Cartesian matrix, referred t…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910012A 6.00 mm Santoprene sheet is given the homogeneous deformation in coincident orthonormal bases.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910013A 14.0 mm closed-cell PVC foam cube is deformed homogeneously by Compute C=F^TF and B=FF^T.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910014A 45.0\,\mathrm{mm}\times 30.0\,\mathrm{mm} polycarbonate plaque occupies 0\le X\le 0.045\,\mathrm{m}, 0\le Y\le 0.…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910015A photogrammetry target originally at \mathbf{X}=(40.0\,\mathbf{e}_X+15.0\,\mathbf{e}_Y-10.0\,\mathbf{e}_Z)\,\mathr…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910016A 20.0 mm acetal cube occupies 0\le X,Y,Z\le 20.0\,\mathrm{mm}.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910017A 5.00 mm PTFE coupon undergoes the homogeneous deformation in coincident orthonormal bases.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910018After a homogeneous deformation of a 4.00 mm PEEK strip with two currently straight surface scratches have spatial…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910019A 110 mm aluminum calibration bar occupies |X|\le 55.0\,\mathrm{mm}, |Y|\le 4.00\,\mathrm{mm}, |Z|\le 4.00\,\mathrm…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910020A 7.00 mm latex block is placed in homogeneous simple shear x=X+\gamma Y, y=Y, z=Z, with \gamma=4/3.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910021At a material point in an Inconel 718 forging the Cauchy stress, referred to a fixed orthonormal frame \{\mathbf{e}…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910022The Cauchy stress at a point in a duplex stainless weldment, in MPa, is Determine the three principal stresses, ord…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910023A thin 6063-T5 aluminum extrusion is in plane stress with in-plane Cauchy components \sigma_x=72.0\,\mathrm{MPa}, \…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910024At a material point in a \beta-titanium coupon the traction vectors on the three mutually perpendicular planes with…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910025A thermoplastic-polyurethane block occupies the reference cube 0\le X_1,X_2,X_3\le 18.0\,\mathrm{mm} and undergoes…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910026A silicone elastomer pad is mapped by the homogeneous motion The Cauchy stress in the current configuration, in MPa…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910027An HDPE specimen undergoes the homogeneous deformation so that the in-plane motion is simple shear of amount 0.72 s…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910028In a high-rate forging instant the Cauchy stress field in an OFHC copper billet, with Cartesian coordinates in metr…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910029A candidate Cauchy stress inferred from a digital-image measurement at a point in a 17-4 PH stainless coupon has th…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910030A 5083-H116 aluminum plate occupies 0\le x\le 0.400\,\mathrm{m}, 0\le y\le 0.180\,\mathrm{m} and has uniform thickn…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910031A polyurethane cube occupies 0\le X,Y,Z\le 40.0\,\mathrm{mm} in the reference configuration and has uniform referen…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910032At a particle of a 6061-T6 aluminum forging the laboratory reports the array as the Cauchy stress.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910033A rectangular acetal block currently occupies 0\le x\le 80.0\,\mathrm{mm}, 0\le y\le 50.0\,\mathrm{mm}, 0\le z\le 2…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910034On a laboratory neighborhood of the origin the spatial pair is proposed, with (x,y,z) in metres and t in seconds.

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Deformation KinematicsContinuum Mechanics Problem Solving

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CONT:9910035A closed-cell PVC-foam brick occupies 0\le X\le 90.0\,\mathrm{mm}, 0\le Y\le 60.0\,\mathrm{mm}, 0\le Z\le 40.0\,\ma…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:010117Incompressible plane-strain annulus 1<=R<=2: r=sqrt(R^2+3), lambdas (R/r,r/R,1), J=1, radii 2 and sqrt(7), areas 3pi, rho=rho0

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CM Incompressible Annulus StretchesCM Plane Strain Jacobian Density

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010118Compatible F=[[1+2X1,2X2],[X2,X1+2]] on [0,1/2]^2: x=(X1+X1^2+X2^2,X1 X2+2X2), J>=3/2, at (1/2,1/2) x=(1,5/4) and J=9/2

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CM Compatible Deformation GradientCM Path Independent Motion Reconstruction

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010119Constant L=[[1,2],[0,-1]]: F=[[e^t,2 sinh t],[0,e^{-t}]], J=1, v=(x1+2x2,-x2), D=[[1,1],[1,-1]], t=ln2 maps (1,2) to (5,1)

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CM Constant Velocity Gradient FlowCM Stretching Spin Split

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Mixed review

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CONT:010220Manufactured sigma=q[[2x+y,x-y],[x-y,3y]]: div=q(1,4), b=(-1,-4), at (1,2) traction (8/5,21/5), normal 108/25, shear 31/25

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CM Manufactured Cauchy EquilibriumCM Traction Normal Shear Split

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Stress measures and local balance lawsContinuum Mechanics · Mixed review

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CONT:010221Harmonic Airy phi=q(x^3 y-x y^3): sigma=[[-6qxy,3q(y^2-x^2)],[...]], residuals 0, at (1,2) principals +/-15 and t=(-12,9)

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CM Harmonic Airy StressCM Principal Stress From Airy

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Stress measures and local balance lawsContinuum Mechanics · Mixed review

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CONT:010322Orthotropic engineering Q=[[12,3,0],[3,8,0],[0,0,2]] MPa, e=(0.01,-0.005,0.02): sigma=(0.105,-0.01,0.04) MPa, W=0.00095 MPa; 90-degree material-axis swap gives (0.065,-0.03,0.04) and 0.0008 MPa

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CM Orthotropic Engineering Shear EvaluationCM Material Axis Rotation Versus Observer Frame

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Constitutive theory, objectivity, and thermodynamic restrictionsContinuum Mechanics · Mixed review

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CONT:010323Maxwell E=6 MPa, tau=2 s, ramp eps=t/10 on [0,4] then hold 0.4: sigma=1.2(1-e^{-t/2}), sigma(4)=1.03759766 MPa, sigma(6)=0.381710847 MPa, W=0.27248047 MPa

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CM Maxwell Ramp Closed FormCM Maxwell Hold Relaxation Work

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Constitutive theory, objectivity, and thermodynamic restrictionsContinuum Mechanics · Mixed review

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CONT:010424Prandtl ellipse a=2 m, b=1 m, G theta=3 MPa/m: C=12/5 MPa m, tau=(-24/5 y, 6/5 x), max 24/5 MPa, T=24 pi/5 MN m

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CM Prandtl Ellipse Poisson ConstantCM Prandtl Shear And Torque

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010425Spherical cavity a=0.1 m, p=2 MPa, mu=5 MPa: A=1e-4 m^3, u(a)=0.01 m, at 2a stresses (-0.25,0.125,0.125) MPa, U=400 pi J

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CM Spherical Cavity Lame FieldCM Spherical Cavity Energy Identification

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010426Plane strain u=(alpha x^2, beta x y), alpha=0.01 /m, beta=0.02 /m, lambda=2 MPa, mu=3 MPa: at (2,1) sigma=[[0.4,0.06],[0.06,0.4]] MPa, b=(-0.26,0), W=0.0166 MPa

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CM Manufactured Plane Strain StressCM Manufactured Divergence Body Force

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Linear and nonlinear elasticityContinuum Mechanics · Mixed review

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CONT:010527Polynomial streamfunction ψ=UL(X²Y-Y³/3): v=(U(X²-Y²),-2UXY), D=(2U/L)[[X,-Y],[-Y,-X]], flux -2UL/3

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CM Polynomial Streamfunction RecoveryCM Rate OF Deformation And Flux

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Newtonian and generalized fluid continuaContinuum Mechanics · Mixed review

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CONT:010528Power-law η=m γeq^{n-1}: shear and planar extension share γeq=9, η=4/3, dissipation 108 W/m³

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CM Power Law Equivalent ShearCM Viscous Dissipation Comparison

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Newtonian and generalized fluid continuaContinuum Mechanics · Mixed review

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CONT:010629Bar-wave interface Z1:Z2=1:3: Rv=-1/2, Tv=1/2, signed stresses -6,-3,-9 kPa, energy 1/4 and 3/4

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CM Bar Wave Impedance CoefficientsCM Signed Stress Energy Split

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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CONT:010630Strain-gradient rod ω²=c0²k²(1+l²k²): q=3/4 gives cp=2500, cg=3400, ω=62500, high-k cg/cp→2

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CM Strain Gradient DispersionCM Phase Group Velocity

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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CONT:010631Kelvin-Voigt rod: E'=-η∫uxt²≤0, kc=2, roots -1±i√3, double -4, -9±3√5 all Re<0

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CM Kelvin Voigt Characteristic RootsCM Viscoelastic Energy Decay

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Waves, characteristics, and material stabilityContinuum Mechanics · Mixed review

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910011A 9.00 mm HNBR pad undergoes the homogeneous, orientation-preserving deformation whose Cartesian matrix, referred t…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910012A 6.00 mm Santoprene sheet is given the homogeneous deformation in coincident orthonormal bases.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910013A 14.0 mm closed-cell PVC foam cube is deformed homogeneously by Compute C=F^TF and B=FF^T.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910014A 45.0\,\mathrm{mm}\times 30.0\,\mathrm{mm} polycarbonate plaque occupies 0\le X\le 0.045\,\mathrm{m}, 0\le Y\le 0.…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910015A photogrammetry target originally at \mathbf{X}=(40.0\,\mathbf{e}_X+15.0\,\mathbf{e}_Y-10.0\,\mathbf{e}_Z)\,\mathr…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910016A 20.0 mm acetal cube occupies 0\le X,Y,Z\le 20.0\,\mathrm{mm}.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910017A 5.00 mm PTFE coupon undergoes the homogeneous deformation in coincident orthonormal bases.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910018After a homogeneous deformation of a 4.00 mm PEEK strip with two currently straight surface scratches have spatial…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910019A 110 mm aluminum calibration bar occupies |X|\le 55.0\,\mathrm{mm}, |Y|\le 4.00\,\mathrm{mm}, |Z|\le 4.00\,\mathrm…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910020A 7.00 mm latex block is placed in homogeneous simple shear x=X+\gamma Y, y=Y, z=Z, with \gamma=4/3.

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910021At a material point in an Inconel 718 forging the Cauchy stress, referred to a fixed orthonormal frame \{\mathbf{e}…

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Deformation KinematicsContinuum Mechanics Problem Solving

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Motion, deformation gradients, strain, and transportContinuum Mechanics · Calculation

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CONT:9910022The Cauchy stress at a point in a duplex stainless weldment, in MPa, is Determine the three principal stresses, ord…

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Deformation KinematicsContinuum Mechanics Problem Solving

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CONT:9910023A thin 6063-T5 aluminum extrusion is in plane stress with in-plane Cauchy components \sigma_x=72.0\,\mathrm{MPa}, \…

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CONT:9910024At a material point in a \beta-titanium coupon the traction vectors on the three mutually perpendicular planes with…

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CONT:9910025A thermoplastic-polyurethane block occupies the reference cube 0\le X_1,X_2,X_3\le 18.0\,\mathrm{mm} and undergoes…

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Deformation KinematicsContinuum Mechanics Problem Solving

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CONT:9910026A silicone elastomer pad is mapped by the homogeneous motion The Cauchy stress in the current configuration, in MPa…

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Deformation KinematicsContinuum Mechanics Problem Solving

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CONT:9910027An HDPE specimen undergoes the homogeneous deformation so that the in-plane motion is simple shear of amount 0.72 s…

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CONT:9910028In a high-rate forging instant the Cauchy stress field in an OFHC copper billet, with Cartesian coordinates in metr…

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CONT:9910029A candidate Cauchy stress inferred from a digital-image measurement at a point in a 17-4 PH stainless coupon has th…

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CONT:9910030A 5083-H116 aluminum plate occupies 0\le x\le 0.400\,\mathrm{m}, 0\le y\le 0.180\,\mathrm{m} and has uniform thickn…

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Deformation KinematicsContinuum Mechanics Problem Solving

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CONT:9910031A polyurethane cube occupies 0\le X,Y,Z\le 40.0\,\mathrm{mm} in the reference configuration and has uniform referen…

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CONT:9910032At a particle of a 6061-T6 aluminum forging the laboratory reports the array as the Cauchy stress.

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CONT:9910033A rectangular acetal block currently occupies 0\le x\le 80.0\,\mathrm{mm}, 0\le y\le 50.0\,\mathrm{mm}, 0\le z\le 2…

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CONT:9910034On a laboratory neighborhood of the origin the spatial pair is proposed, with (x,y,z) in metres and t in seconds.

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CONT:9910035A closed-cell PVC-foam brick occupies 0\le X\le 90.0\,\mathrm{mm}, 0\le Y\le 60.0\,\mathrm{mm}, 0\le Z\le 40.0\,\ma…

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Problem results

CONT:9910001A nitrile gasket occupies the reference brick 0\le X_1\le 50\,\mathrm{mm}, 0\le X_2\le 20\,\mathrm{mm}, 0\le X_3\le…

CONT:9910002At a material point of a drawn polyimide film the deformation gradient, referred to an orthonormal Cartesian frame,…

CONT:9910003A latex sheet in plane strain has the motion x_1=1.15 X_1+0.30 X_2, x_2=0.90 X_2, x_3=X_3, with all coordinates in…

CONT:9910004At a gage station in a crushed polymeric foam the deformation gradient has Cartesian matrix with rows [0.85,0.10,0]…

CONT:9910005A brass coupon undergoes the homogeneous deformation x_1=1.25 X_1, x_2=0.15 X_1+0.80 X_2, x_3=X_3, with coordinates…

CONT:9910006In a laboratory mixing cell the steady Eulerian velocity (m/s; spatial coordinates in m) is v_1=4.0 x_1-2.0 x_2, v_…

CONT:9910007Oil in a parallel-plate viscometer has the spatial velocity field \mathbf{v}=(0.80 y)\,\mathbf{e}_1-(0.30 z)\,\math…

CONT:9910008A stirred cylindrical bath has the planar velocity \mathbf{v}=(-\Omega x_2+\alpha x_1)\,\mathbf{e}_1+(\Omega x_1+\a…

CONT:9910009A material region currently occupies the cube 0\le x_1\le 0.050\,\mathrm{m}, 0\le x_2\le 0.050\,\mathrm{m}, 0\le x_…

CONT:9910010A time-dependent homogeneous motion of a gelatin block is x_1=(1+0.50 t)X_1+0.20 t X_2, x_2=(1-0.10 t)X_2, x_3=X_3,…

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Problem results

CONT:9910001A nitrile gasket occupies the reference brick 0\le X_1\le 50\,\mathrm{mm}, 0\le X_2\le 20\,\mathrm{mm}, 0\le X_3\le…

CONT:9910002At a material point of a drawn polyimide film the deformation gradient, referred to an orthonormal Cartesian frame,…

CONT:9910003A latex sheet in plane strain has the motion x_1=1.15 X_1+0.30 X_2, x_2=0.90 X_2, x_3=X_3, with all coordinates in…

CONT:9910004At a gage station in a crushed polymeric foam the deformation gradient has Cartesian matrix with rows [0.85,0.10,0]…

CONT:9910005A brass coupon undergoes the homogeneous deformation x_1=1.25 X_1, x_2=0.15 X_1+0.80 X_2, x_3=X_3, with coordinates…

CONT:9910006In a laboratory mixing cell the steady Eulerian velocity (m/s; spatial coordinates in m) is v_1=4.0 x_1-2.0 x_2, v_…

CONT:9910007Oil in a parallel-plate viscometer has the spatial velocity field \mathbf{v}=(0.80 y)\,\mathbf{e}_1-(0.30 z)\,\math…

CONT:9910008A stirred cylindrical bath has the planar velocity \mathbf{v}=(-\Omega x_2+\alpha x_1)\,\mathbf{e}_1+(\Omega x_1+\a…

CONT:9910009A material region currently occupies the cube 0\le x_1\le 0.050\,\mathrm{m}, 0\le x_2\le 0.050\,\mathrm{m}, 0\le x_…

CONT:9910010A time-dependent homogeneous motion of a gelatin block is x_1=(1+0.50 t)X_1+0.20 t X_2, x_2=(1-0.10 t)X_2, x_3=X_3,…