Advanced Solid Mechanics

Module code: MAE7013-B

To extend knowledge of Solid Mechanics in the context of modern mathematical analysis.
To develop understanding of stresses and strains while emphasising their parallels.
To introduce large deformations and more general material behaviour.
To demonstrate the methods for implementing advanced theory numerically within finite element analyses.
To give examples of applications of these numerical techniques.

Stress analysis: 3D equilibrium equations, the stress tensor, transformations and principal directions
Strain analysis: large deformations, deformation gradient tensors, rigid body rotations and principal directions
Analogies between stress and strain analysis
Constitutive relationships: linear, nonlinear, strain energy functions, elastic-plastic behaviour and flow rules
Applications of the finite element technique
Case studies