Learning Outcomes:
On completion of this module, students will have the ability to:
1) Analyse stress, strain and failure in deformable solids under the action of external forces, with emphasis on combined stress states, plane stress and plane strain problems.
2) Formulate stress and strain tensors and vectors, and determine all possible states of stress and strain in a point using an algebraic form or Mohr's circle.
3) Apply small deformation theory to obtain displacements, strains and stresses using the kinematic, constitutive, compatibility equations and differential equations of equilibrium.
4) Understand the principles of finite element analysis: stiffness matrix method, element stiffness matrices, principle of minimum potential, isoparametric element formulation, force vector assembly, global stiffness matrix assembly, element type selection (2D plane stress, 2D plane strain, 3D solid, 3D shell) and stress recovery from displacements.
Indicative Module Content:
Stress; Strain; Displacement; Failure criteria; Elasticity; Finite Element Method.