Continuum mechanics
Graduate · Physics
Syllabus focus
Topics typically covered
Theoretical / proof-based
Kinematics and stress
- Deformation gradients and strain measures
- Stress tensors and Cauchy's theorem
- Balance laws in integral and differential form
- Objectivity and frame indifference
- Energy conjugates and work conjugacy
Constitutive theory
- Elastic solids: Hooke's law in tensor form
- Hyperelastic strain energy functions
- Viscoelasticity and memory integrals
- Plasticity: yield criteria and flow rules
- Anisotropy and crystal elasticity
Applications and stability
- Wave propagation in elastic media
- Buckling and bifurcation analysis
- Fluid–structure interaction (intro)
- Finite strain elasticity problems
- Variational formulations and minimization
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Kinematics and stress
Deformation gradients and strain measures
Coming soon - Constitutive theory
Elastic solids: Hooke's law in tensor form
Coming soon - Applications and stability
Wave propagation in elastic media
Coming soon
Notes
Topics reflect common graduate physics core and elective syllabi at US universities. Sequencing and emphasis vary between one- and two-semester treatments.