Lecture 6: Formulation of Finite Element Matrices

Name: Lecture 6: Formulation of Finite Element Matrices
Uploaded: 2011-06-11T04:08:52Z
Duration: 44 min 28 s

44:28

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Lecture 7: 2D & 3D Solid Elements; Plane Stress/Strain Conditions

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