
ADVANCED SOLID MECHANICS
Prerequisites:

Continuum Mechanics 
Examination methods:

Practical application 
Course unit contents:

Nonlinear bars and trusses: deformation  equilibrium  tangent stiffness matrix  use of shape functions  assembling  total or lagrangian formulation.
(Finite rotations)
EulerBernoulli beam. Timoshenko beam.
Plates and shells.
Deformation and equilibrium of solids: deformation  nonlinear deformation  strain decomposition  virtual work and stresses (PiolaKirchhoff, Cauchy, stress rates)  total and updated lagrangian formulation.
Elastoplastic solids: elastic solids  general theory of plasticity  models for granular materials (finite elastoplasticity).
Techniques of numerical solutions: iterative solution of equilibrium equations  orthogonal residual method  arclength methods 

