Explicit bounds on elastic moduli of solids containing isotropic mixture of cracks and voids
Explicit bounds on elastic moduli of solids containing isotropic mixture of cracks and voids
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DOI：
10.1111/j.1460-2695.2012.01663.x
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发表时间：
2012-08
影响因子：
3.7
通讯作者：
X. F. Xu;G. Stefanou
中科院分区：
文献类型：
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作者：
X. F. Xu;G. Stefanou
作者（Xu X.F.）和Stefanou，G.（2011）.Int J Multiscale Comput Engng9（3）pp. 347-363）来评估随机破裂固体的有效弹性模量。利用该公式，得到了在球形排斥约束下，平行和随机取向的硬币形和狭缝形随机裂纹的弹性模量上界的显式表达式。在本文中，它表明，以前导出的界限是直接适用于固体包含各向同性混合裂纹没有排斥约束，这是一个更一般的情况下，裂纹固体。边界进一步扩展到固体含有球形空隙，其特征在于具有有限值的纵横比。
A variational formulation has been recently proposed by the authors (Xu X.F. and Stefanou, G. (2011).Int J Multiscale Comput Engng9(3) pp. 347–363) to evaluate effective elastic moduli of randomly cracked solids. Using this formulation, explicit expressions have been obtained for the upper bounds of the elastic moduli in the case of penny‐shaped and slit‐like random cracks with parallel and random orientations subject to a spherical exclusion constraint. In this paper, it is shown that the bounds derived previously are directly applicable to solids containing isotropic mixture of cracks with no exclusion constraint, which is a more general case for a cracked solid. The bounds are further extended to solids containing spheroidal voids that are characterized with finite value of aspect ratios.