Elevated temperature inelastic analysis of metallic media under time-varying loads using state variable theories
A general method for analyzing the time-dependent inelastic response of three-dimensional metallic bodies to arbitrary time-varying mechanical loads and temperature is presented. The method is capable of using any of a number of constitutive relations using state variables that have been recently proposed by other researchers. For the purpose of illustration, the problems of a hollow sphere, cylinder and thin circular disc subjected to various combinations of internal and external pressures, axial force (or constraint) and torque are analyzed using the proposed analysis procedure. The constitutive equations due to Hart are used in the numerical calculations. Hart's model has been previously shown to accurately simulate the deformation behavior of uniaxial metallic specimens subjected to various histories of stress and strain. Numerical results are presented for the mechanical response of a sphere to various prescribed internal pressure or internal displacement histories. Various experimentally observed phenomena in creep and plasticity such as constant stress creep, stress redistribution, history dependence, creep recovery, plastic work hardening, strain rate sensitivity and Bauschinger's effect are shown to be qualitatively predicted by Hart's model for this multiaxial problem.
- Research Organization:
- Cornell Univ., Ithaca, N.Y. (USA); Missouri Univ., Rolla (USA). Rock Mechanics and Explosives Research Center
- DOE Contract Number:
- EY-76-S-02-2733
- OSTI ID:
- 5278812
- Report Number(s):
- COO-2733-12
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
MECHANICAL STRUCTURES
STRESS ANALYSIS
METALS
CREEP
SHELLS
CYLINDERS
DEFORMATION
NUMERICAL SOLUTION
PLASTICITY
TEMPERATURE DEPENDENCE
TIME DEPENDENCE
ELASTICITY
ELEMENTS
MECHANICAL PROPERTIES
TENSILE PROPERTIES
THERMOELASTICITY
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Equipment
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