https://scholars.lib.ntu.edu.tw/handle/123456789/65886
Title: | Orthotropic transform for planar anisotropic elasticity and reduced dependence of elastic constants | Authors: | Yang, Wei Ma, Chien-Ching |
Keywords: | Elastic constants; Holes; Inclusions; Layered materials; Orthotropic transform; Planar anisotropy | Issue Date: | 1998 | Journal Volume: | 454 | Journal Issue: | 1975 | Start page/Pages: | - | Source: | Proceeding Royal Society of London, Series A | Abstract: | The resurgence in the literature on the reduced dependence of elastic constants for damaged materials and composites has been largely inspired by the exploration of the stress invariance under a modulus shift by Cherkeav and others in 1992 (henceforth referred to as the CLM shift) in planar elasticity. However, a CLM shift can at most reduce the dependence of two elastic constants. The present work devises an approach that combines the CLM shift and an orthotropic transform. As a result, the governing equation of a general planar anisotropic solid only contains a single dimensionless elastic constant (denoted by |c£| in this paper) in the transformed coordinates. The damage compliance of a solid with holes can be expressed explicitly through a function depending only on |c*2|. If an elastic composite consists of a matrix and inclusions of aligned anisotropy, its overall compliance can be expressed through a function of three combinative parameters, namely |c%| and two Dundurs parameters. Furthermore, a configuration invariant transform is found for layered materials of aligned anisotropy. The stress analysis of such configurations only involves four elastic constants. © 1998 The Royal Society. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/86433 https://www.scopus.com/inward/record.uri?eid=2-s2.0-33746703221&doi=10.1098%2frspa.1998.0236&partnerID=40&md5=dd84979abecb477e157e1cec0ed5a8db |
ISSN: | 13645021 |
Appears in Collections: | 機械工程學系 |
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