4.7 Article

A constitutive description of the strain rate and temperature effects on the mechanical behavior of materials

Journal

MECHANICS OF MATERIALS
Volume 42, Issue 8, Pages 774-781

Publisher

ELSEVIER
DOI: 10.1016/j.mechmat.2010.06.006

Keywords

Strain rate; Activation energy; Mechanical properties; Constitutive modeling; Flow stress

Funding

  1. Joint Foundation of the National Natural Science Foundation of China
  2. China Academy of Engineering Physics (NSAF) [10776019]
  3. National Basic Research Program of China [2010CB631005]
  4. Open Foundation of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology, China) [KFJJ08-9]

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The Zerilli and Armstrong (Z-A) model and the mechanical threshold stress (MTS) model have been widely employed to study the strain rate-dependent behavior of materials, but their predictions may sometimes deviate from the experimental results In this paper, the two well-known models are first reviewed and compared Their essential relevance is discussed, and the temperature dependences of the parameters in the MTS model are clarified By using the thermal activation theory, we propose a novel constitutive relation to describe the mechanical behavior of materials in a wide range of strain rate and temperature. Our model combines the advantages of Z-A and MTS models It can appropriately predict the dependence of the flow stress on the strain rate and temperature, as well as the variation of the activation volume with the thermally activated stress and temperature We demonstrate the rationality and efficacy of the present model by comparing our theoretical predictions with relevant experimental results in the literature (C) 2010 Elsevier Ltd All rights reserved

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