Thermo-visco-inelasticity in large deformations
A formulation is given of constitutive equations valid for large deformations for materials with elastic range and internal state variables intended to describe the internal structure of the material. A material description is used to construct a purely mechanical theory which largely follows that of Carroll. The assumption that the work done in finite closed cycles of homogeneous deformation is non-negative leads to an elastic potential and a dissipation inequality which, in turn, implies a normality condition, by an argument adapted from that of Lin and Naghdi. When the theory is generalized to include temperature dependence, the Clausius-Duhem inequality leads by well-known arguments to an elastic potential and nonnegative dissipation. Rate effects are included by assuming that the inelastic strain rate is a function of the dynamic overstress, but the results of the work assumption or the thermodynamic argument are unchanged. Some remarks regarding implications for stability are made.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (United States)
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6937221
- Report Number(s):
- SAND-92-2083C; CONF-9209240--4; ON: DE93002284
- Country of Publication:
- United States
- Language:
- English
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661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DEFORMATION
DIFFERENTIAL EQUATIONS
ELASTICITY
EQUATIONS
EQUATIONS OF MOTION
MATERIALS
MECHANICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
STABILITY
STRAIN RATE
STRAINS
STRESSES
TENSILE PROPERTIES
THERMAL STRESSES
THERMODYNAMICS
THERMOELASTICITY
VISCOSITY