Lecture 6: Formulation of Finite Element Matrices

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Topics: Formulation of finite element matrices Summary of principle of virtual work equations in total and updated Lagrangian formulations Deformation-independent and deformation-dependent loading Materially-nonlinear-only analysis Dynamic analysis, implicit and explicit time integrations Derivations of finite element matrices for total and updated Lagrangian formulations, materially-nonlinear-only analysis Displacement and strain-displacement interpolation matrices Stress matrices Numerical integration and application of Gauss and Newton-Cotes formulas Example analysis: Elasto-plastic beam in bending Example analysis: A numerical experiment to test for correct element rigid body behavior Instructor: Klaus-Jürgen Bathe