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1 results

  • 2 - Computational Homogenization in the Micromechanics of Heterogeneous Materials

  • Leiting Dong, Beihang University, China, Satya N. Atluri, University of California, Irvine
  • Book:
    Computational Grains
    Published online:
    05 October 2023
    Print publication:
    19 October 2023, pp 17-26

  • Summary

    This chapter discusses the role of a representative volume element (RVE) in the computational homogenization of heterogeneous materials. The use of the finite element method in modeling an RVE is discussed. The role of using the Hill-Mandel boundary conditions, and the use of periodic displacement and aperiodic traction boundary conditions on an RVE are discussed. The advantages of using the present Computational Grains method in modeling an RVE, not only to determine the macro properties of a heterogeneous material but also to determine the detailed interfacial stress states which are damage precursors at the micro level are discussed.