Characterization of macroscopic tensile strength of polycrystalline metals with two-scale finite element analysis

Ikumu Watanabe, Kenjiro Terada, Eduardo Alberto de Souza Neto, Djordje Perić

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1105-1125
Number of pages21
JournalJournal of the Mechanics and Physics of Solids
Issue number3
Publication statusPublished - 2008 Mar


  • Continuum damage model
  • Crystal plasticity
  • Multi-scale methods
  • Polycrystalline metals
  • Tensile strength and ductility


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