Programming Finite Elements in Java™ pp 129-140 | Cite as
Three-dimensional Isoparametric Elements
Chapter
Abstract
Three-dimensional isoparametric elements are considered. Shape functions for hexahedral elements with eight nodes and twenty nodes are given. A method for computing derivatives of shape functions in the global coordinate system is presented. Numerical integration is used for estimation of element matrices and vectors. It is explained how to organize efficient computation of an element stiffness matrix. Algorithms for calculating nodal equivalents of surface loads and stresses at integration points and nodes are demonstrated.
Keywords
Shape Function Integration Point Surface Load Global Coordinate System Element Matrice
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© Springer-Verlag London Limited 2010