期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 56, 期 3, 页码 1105-1125出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2007.06.001
关键词
multi-scale methods; tensile strength and ductility; crystal plasticity; continuum damage model; polycrystalline metals
资金
- EPSRC [EP/D500281/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/D500281/1] Funding Source: researchfish
The objective of this contribution is to develop an elastic-plastic-damage constitutive model for crystal grain and to incorporate it with two-scale finite element analyses based on mathematical homogenization method, in order to characterize the macroscopic tensile strength of polycrystalline metals. More specifically, the constitutive model for single crystal is obtained by combining hyperelasticity, a rate-independent single crystal plasticity and a continuum damage model. The evolution equations, stress update algorithm and consistent tangent are derived within the framework of standard elastoplasticity at finite strain. By employing two-scale finite element analysis, the ductile behaviour of polycrystalline metals and corresponding tensile strength are evaluated. The importance of finite element formulation is examined by comparing performance of several finite elements and their convergence behaviour is assessed with mesh refinement. Finally, the grain size effect on yield and tensile strength is analysed in order to illustrate the versatility of the proposed two-scale model. (C) 2007 Elsevier Ltd. All rights reserved.
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