Bounds and self-consistent estimates of the elastic constants of polycrystals
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- 作者：Christopher M. Kubea ; christopher.m.kube.ctr@mail.mil" class="auth_mail" title="E-mail the corresponding author ; Andrea P. Arguellesb ; arguelles1@gmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Elastic constants ; Hashin&ndash ; Shtrikman bounds ; Self-consistent ; Voigt&ndash ; Reuss&ndash ; Hill average ; Polycrystals ; Wave velocity ; Average properties
- 刊名：Computers & Geosciences
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：95
- 期：Complete
- 页码：118-122
- 全文大小：516 K
文摘
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A homogenization model for the elastic constants of polycrystals is given.
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An iterative solution produces the effective bulk and shear modulus.
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Voigt–Reuss and Hashin–Shtrikman bounds are obtained within the iterative solution.
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Self-consistent elastic constants are obtained when the iterative solution converges.
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The model applies to isotropic polycrystals containing crystallites of any symmetry.