Engineering
Continuum Mechanics
Train on Continuum Mechanics with 114 published problems. Preview a problem, explore the course outline, and work through one problem at a time.
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Preview a course problem
See a problem from Continuum Mechanics before you begin.
Course topics
Course topics
Motion, deformation gradients, strain, and transport
Stress measures and local balance laws
Constitutive theory, objectivity, and thermodynamic restrictions
Linear and nonlinear elasticity
Newtonian and generalized fluid continua
Waves, characteristics, and material stability
Practice problems
Try a few Continuum Mechanics problems, each with a hint.
- A nitrile gasket occupies the reference brick 0 ≤ X₁ ≤ 50 mm, 0 ≤ X₂ ≤ 20 mm, 0 ≤ X₃ ≤… Free with an accountMotion, deformation gradients, strain, and transport
- A brass coupon undergoes the homogeneous deformation x₁=1.25 X₁, x₂=0.15 X₁+0.80 X₂… Free with an accountMotion, deformation gradients, strain, and transport
- A material region currently occupies the cube 0 ≤ x₁ ≤ 0.050 m, 0 ≤ x₂ ≤ 0.050 m, 0 ≤… Free with an accountMotion, deformation gradients, strain, and transport
- A 110 mm aluminum calibration bar occupies |X| ≤ 55.0 mm, |Y| ≤ 4.00 mm, |Z| ≤ 4.00 mm Free with an accountMotion, deformation gradients, strain, and transport
- A polyurethane cube occupies 0 ≤ X,Y,Z ≤ 40.0 mm in the reference configuration and has… Free with an accountMotion, deformation gradients, strain, and transport
- An incompressible Mooney–Rivlin solid has C₁₀=118 kPa and C₀₁=29.5 kPa, with… Stress measures and local balance laws
- A solid circular phosphor-bronze shaft of radius R = 19.0 mm and length L = 920 mm is… Stress measures and local balance laws
- An incompressible neo-Hookean tensile bar has stored energy W=(μ/2)(I₁-3), μ=226 kPa… Stress measures and local balance laws
- A silicone damping fluid (ρ=970 kg/m³, μ=0.290 Pa·s) is driven by the constant pressure… Stress measures and local balance laws
- A one-dimensional nonlinear elastic bar has stored energy per unit reference volume… Stress measures and local balance laws