Finite Element Analysis of Problems in Elasticity/Plasticity with Singularities,
Abstract
The aims of this project, as set out in the original proposal, may be summarized as follows: an investigation would be undertaken into the use of finite element methods for three-dimensional linear problems from potential theory and elasticity containing singularities and for nonlinear problems, particularly those involving the elasto-plastic deformation of three-dimensional solids. Special emphasis would be given to the forms of singularities in three-dimensional linear problems and the use which could be made of these in finite element methods, to the use of complementary energy formulations and variational inequalities in elasto-plastic problems and to the treatment of elasto-plastic problems involving cracks. Throughout consideration would be given to the theoretical basis of the finite element methods developed for these problems, to the development of effective algorithms for their implementation and application to solve practical problems. These tasks have been adhered to and the results of the research are outlined below. Both linear and nonlinear problems have been studied and these are treated separately in Section 2(linear) and Section 3 (nonlinear). A total of eleven publications have resulted from this research. These are listed in Section 7 and should be read in conjunction with this Report.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1986
- Accession Number
- ADA173820
Entities
People
- J. R. Whiteman
Organizations
- Brunel University London