A simple membrane finite element
Abstract
Recent discussions have shown how the geometric stiffness matrix of nonlinear structural analysis can be derived by taking the gradient of the equilibrium equations. Here this technique is used to derive an unsymmetric geometric stiffness matrix for a membrane finite element (triangular, constant stress/strain). Two examples of a loaded prestressed sheet are included.
 Publication:

Computers and Structures
 Pub Date:
 September 1992
 Bibcode:
 1992CoStr..45..181S
 Keywords:

 Finite Element Method;
 Membrane Structures;
 Plate Theory;
 Stiffness Matrix;
 StressStrain Relationships;
 Dynamic Structural Analysis;
 Flexible Spacecraft;
 Iterative Solution;
 Nonlinear Systems;
 Plane Stress;
 Prestressing;
 Three Dimensional Models;
 Structural Mechanics