Analytical Formulation of a Rate and Temperature Dependent Stress-Strain Relation

Author:

Merzer A.1,Bodner S. R.1

Affiliation:

1. Technion - Israel Institute of Technology, Haifa, Israel

Abstract

The equation for plastic strain rate in the Bodner-Partom viscoplastic formulation is integrated under conditions of uniaxial stress, constant plastic strain rate, and isotropic hardening to give an analytical expression for the stress as a function of plastic strain and strain rate. Temperature dependence is introduced which leads to a general relationship between stress, strain, strain rate, and temperature. The resulting equation indicates an asymptotic saturation stress whose dependence on strain rate and temperature appears to agree with experimental results. Strain hardening given by the analytical equation also seems to be consistent with experiments. A possible new definition of yield stress is a consequence of the rate dependent stress-strain relation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Cited by 29 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. References;Micromechanics of Composite Materials;2013

2. Micromechanism-Quantification for Creep Constitutive Equations;IUTAM Symposium on Creep in Structures;2001

3. An Outline of the Bodner-Partom (B-P) Unified Constitutive Equations for Elastic-Viscoplastic Behavior;Handbook of Materials Behavior Models;2001

4. A new criterion for internal crack formation in continuously cast steels;Metallurgical and Materials Transactions B;2000-08

5. Tensile behavior of a sintered steel at elevated temperatures;Scripta Metallurgica et Materialia;1995-07

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