Efficient Finite Element Methods for Transient Analysis of Shells.
Abstract
Efficient and accurate elements for the large displacement, transient analysis of shells have been developed. The essential feature of these elements is the use of minimal quadrature, which consists of 1 point quadrature in the 4-node quadrilateral or the 3-node triangle, and 2x2 quadrature in the 9-node element. Since these minimal quadrature elements possess spurious singular modes, their use requires effective control of these modes. A control procedure has been developed which satisfies consistency and hence does not impair the convergence of the element. This is achieved through a special gamma-projection which is orthogonal to linear fields, hence these elements are called gamma-elements. In addition to these developments, the following was achieved in this project: (1) the identification of the membrane locking phenomenon which impedes the convergence of any fully integrated curved element; (2) the development of general methods for ameliorating membrane locking through both explicit mode decomposition projections and through implicit projections by means of reduced integration; (3) the development of stabilization procedures for higher order elements such as the 9-node element which satisfy basic consistency and the patch test. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1985
- Accession Number
- ADA173239
Entities
People
- Ted Belytschko
Organizations
- Northwestern University