Yang, WeiWeiYangMa, Chien-ChingChien-ChingMa2008-11-112018-06-282008-11-112018-06-28199813645021http://ntur.lib.ntu.edu.tw//handle/246246/86433https://www.scopus.com/inward/record.uri?eid=2-s2.0-33746703221&doi=10.1098%2frspa.1998.0236&partnerID=40&md5=dd84979abecb477e157e1cec0ed5a8dbThe 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.application/pdf330145 bytesapplication/pdfen-USElastic constants; Holes; Inclusions; Layered materials; Orthotropic transform; Planar anisotropy[SDGs]SDG11journal article10.1098/rspa.1998.02362-s2.0-33746703221http://ntur.lib.ntu.edu.tw/bitstream/246246/86433/1/64.pdf