A Theory of Thermoviscoplasticity for Uniaxial Mechanical and Thermal Loading.
Abstract
A previously proposed three-dimensional isotropic theory of Thermoviscoplasticity based on total infinitesimal strain is specialized to a uniaxial state of stress. This uniaxial theory consists of a first-order differential constitutive equation linear in the mechanical strain rate and the stress rate but nonlinear in the mechanical strain, the temperature, and the stress. This equation is coupled to a constitutive heat equation where the work in a homogeneous, adiabatic cycle which starts and ends at zero stress is completely converted into temperature change. In cyclic loading the mechanical constitutive equation is augmented through a procedure which we call 'storage and updating'. The qualitative solution properties of this system of differential equations are investigated. Assuming adiabatic conditions it is shown that near the stress-strain-temperature origin or under large instantaneous changes in the strain (stress) rate, the predicted material behavior is thermoelastic. The solutions for large time under monotonic loadings are given. A set of material constants is assumed; the equations are numerically integrated to simulate homogeneous monotonic loading and cycling and corresponding deformation-induced temperature changes. Other examples include thermal monotonic and cyclic loading under constraint (thermal fatigue cycling) and mehcanical cycling with simultaneous rapid heating. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1979
- Accession Number
- ADA074957
Entities
People
- E. Krempl
- E. P. Cernocky
Organizations
- Rensselaer Polytechnic Institute