Lecture 9 - 2-Node Truss Element-Total Lagrangian Formulation

Finite Element Procedures: Nonlinear Analysis

MIT

The two-noded truss element - total Lagrangian formulation: Derivation of total Lagrangian truss element displacement and strain-displacement matrices from continuum mechanics equations / Mathematical and physical explanation that only one component of the 2nd Piola-Kirchhoff stress tensor is nonzero / Physical explanation of the matrices obtained directly by application of the principle of virtual work / Discussion of initial displacement effect / Comparison of updated and total Lagrangian formulations / Example analysis: Collapse of a truss structure / Example analysis: Large displacements of a cable

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