NON LINEAR SOLID AND STRUCTURAL MECHANICS

Second cycle degree in INGEGNERIA CIVILE (Ord. 2010) (discontinued)

Campus: PADOVA

Language: English

Teaching period: Second Semester

Lecturer: CARMELO MAIORANA

Number of ECTS credits allocated: 9


Syllabus
Prerequisites: Structural Dynamics
Examination methods: Practical applications
Course unit contents: Theory: Mathematical preliminaries: vector and tensor algebra, linearization and directional derivative, tensor analysis. Finite rotations: the vector and tensor representation of rotations in 3D space, quaternion representation. Formulation of a beam undergoing finite deformation: kinematic, balance laws and constitutive relationships. Formulation of shell undergoing finite displacements, rotations and deformations: kinematic and balance laws. Numerical methods for solving non-linear equations: Newton-Raphson, Orthogonal Residual and Arc-Length. Introduction to non linear dynamic analysis: Newmark algorithm and energy-conserving methods. Classes of problems and solutions: problems of solid and structures undergoing with finite displacements and rotations, problems involving beams in finite deformations, problems dealing with shells in finite deformations.

Exercises: Introduction to MatLab Scilab Ansys code; analyses using non-linear truss elements; analyses with non-linear beam elements; analyses with non-linear brick element; implementation of elasto-plastic constitutive laws; implementation of different solution techniques; non linear dynamic analyses.