Constitutive Equations for Anelastic Materials at Finite Strains,
Abstract
A representation of anelastic material behavior, i.e. materials that exhibit energy losses and rate dependent moduli for geometrically reversible deformations, is proposed for multiaxial stress states and large deformations (finite strains). The constitutive equations are relations between the deformation rate and the stress components. An 'anelastic stress' is considered to be part of the total applied stress and to be responsible for the phenomena of energy losses, rate dependent moduli, and delayed elasticity (creep and recovery). In this incremental formulation, 'memory' and 'history' effects are incorporated into the current deformation state and the state variable, the elastic stress, which makes the method suitable for computer solution of structural problems involving arbitrary loading histories. The present analysis is limited to isothermal conditions but the procedure can be generalized to consider thermal effects.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1974
- Accession Number
- ADA004409
Entities
People
- D. Derman
- S. R. Bodner
- Y. Partom
Organizations
- Technion – Israel Institute of Technology