期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 49, 期 23-24, 页码 3242-3254出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2012.06.018
关键词
Effective properties; Shape; Inhomogeneity; Elasticity; Conductivity; Cross-property
类别
资金
- New Mexico Space Grant Consortium
In heterogeneous materials, inhomogeneities (pores, cracks, particles) usually represent a mixture of diverse shapes. In modeling the effective elastic and conductive properties, they are often replaced by identical spheroidal shapes - for which exact solutions are available - that intend to represent certain average shape (for cracks, for example, the circular shape is routinely used). We find that, in anisotropic cases of non-random orientations, such a replacement cannot generally be done (with the exception of flat cracks). In other words, the concept of average spheroid' is not legitimate, and its use may lead to large errors in predicting the effective properties - information on shape distribution is needed. In cases of overall isotropy, the replacement is possible in certain cases; even in these cases, however, the aspect ratio of the average shape may not be intuitively obvious. (C) 2012 Elsevier Ltd. All rights reserved.
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