Plane Elasticity

Prem K. Kythe and Dongming Wei
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Prem K. Kythe: University of New Orleans, Department of Mathematics
Dongming Wei: University of New Orleans, Department of Mathematics

Chapter 11 in An Introduction to Linear and Nonlinear Finite Element Analysis, 2004, pp 269-296 from Springer

Abstract: Abstract Steady-state problems of plane elasticity are studied in this chapter. These problems involve two dependent variables u and v, which are each functions of x and y. The finite element method is therefore accordingly modified, since each node has two degrees of freedom. The stiffness matrix and the load vector for a linear constantstrain triangular element and a bilinear rectangular element are derived, and some steady-state plane elasticity boundary value problems are solved.

Date: 2004
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DOI: 10.1007/978-0-8176-8160-9_11

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