ADVANCED SOLID MECHANICS

Second cycle degree in MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015) (discontinued)

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: VALENTINA SALOMONI

Number of ECTS credits allocated: 9


Syllabus
Prerequisites: Continuum Mechanics
Examination methods: Practical application
Course unit contents: Non-linear bars and trusses: deformation - equilibrium - tangent stiffness matrix - use of shape functions - assembling - total or lagrangian formulation.
(Finite rotations)
Euler-Bernoulli beam. Timoshenko beam.
Plates and shells.
Deformation and equilibrium of solids: deformation - non-linear deformation - strain decomposition - virtual work and stresses (Piola-Kirchhoff, Cauchy, stress rates) - total and updated lagrangian formulation.
Elasto-plastic solids: elastic solids - general theory of plasticity - models for granular materials (finite elasto-plasticity).
Techniques of numerical solutions: iterative solution of equilibrium equations - orthogonal residual method - arc-length methods