Incremental Behaviour of an Elasto-Plastic Continuum.
Abstract
A three dimensional incremental theory which describes the behaviour of an elasto-plastic continuum is proposed. At any instant of the deformation process a constitutive relation between infinitesimal quantities is constructed. By passing to the limit an exact rate theory is obtained. The deformation can be of any magnitude. For infinitesimal deformation the theory degenerates to the classical elasto-plastic theory. Tensors are considered as invariant objects rather than as a collection of components. By using full tensorial notation a simple invariant formation is obtained. The work contains a complete derivation of a rate theory; kinematics, equilibrium, boundary conditions, virtual principles and constitutive equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1975
- Accession Number
- ADA012746
Entities
People
- David Durban
- Menahem Baruch
Organizations
- Technion – Israel Institute of Technology