Analysis of Finite Deformations of Elastic Solids by the Finite Element Method.
Abstract
The report is concerned with an extension of previous finite element applications in finite elasticity. Generally, formulations of the equations governing finite deformations of incompressible elastic elements are presented. Formulations of higher order approximations and curvilinear elements are also given. Two types of incompressibility conditions are obtained: one which is applied locally, element by element, and another which is applied at each node in the connected model. Discussions of nonconservative generalized forces and consistent stresses in finitely deformed elements are considered. The incremental loading technique is applied to solve the nonlinear equations for arbitrary forms of strain energy function for isotropic methods. Several numerical examples are presented; these include finite stretching of materially nonlinear sheets, finite deformation of a circular plate, and finite plane strain of a body containing a circular hole. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1970
- Accession Number
- AD0717768
Entities
People
- J. E. Key
- J. Tinsley Oden
Organizations
- University of Alabama in Huntsville