Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates

Vuong Thi My Hanh, Pham Duc Chinh, Vu Lam Dong
Author affiliations

Authors

  • Vuong Thi My Hanh Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • Pham Duc Chinh Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • Vu Lam Dong Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/38/3/6055

Keywords:

Variational bounds, effective elastic bulk modulus, random cell polycrystal, tetragonal crystal

Abstract

Particular expressions of upper and lower estimates for the macroscopic elastic bulk modulus of random cell tetragonal polycrystalline materials are derived and computed for a number of practical crystals. The cell-shape-unspecified bounds, based on minimum energy principles and generalized polarization trial fields, appear close to the simple bounds for specific spherical cell polycrystals.

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Published

25-09-2016

Issue

Section

Research Article