Evaluation of the Contribution of Irregularly Shaped Holes into the Effective Elastic Moduli by Numerical Conformal Mapping

被引:1
作者
Igor Tsukrov
Jindrich Novak
机构
[1] University of New Hampshire,Department of Mechanical Engineering
[2] University of New Hampshire,Department of Mechanical Engineering
关键词
Mechanical Engineer; Elastic Modulus; Civil Engineer; Elastic Property; Conformal Mapping;
D O I
10.1023/A:1007611515821
中图分类号
学科分类号
摘要
This paper presents a computational procedure to calculate the contribution of the irregularly shaped defects into the effective moduli of two-dimensional elastic solids. In this procedure, the hole compliance tensor of an individual defect is constructed using the numerical conformal mapping (NCM) technique. The effective elastic properties of a porous solid are predicted in the non-interacting approximation using the elastic potential-based approach.
引用
收藏
页码:21 / 28
页数:7
相关论文
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  • [1] Driscoll T.A.(1996)A MATLAB Toolbox for Schwarz-Christoffel mapping ACM Transactions on Mathematical Software 22 168-186
  • [2] Jasiuk I.(1994)Elastic moduli of two dimensional materials with polygonal and elliptical holes Applied Mechanics Reviews 47 S18-S28
  • [3] Chen J.(1994)Effective properties of solids with cavities of various shapes Applied Mechanics Reviews 47 S151-S174
  • [4] Thorpe M.F.(1993)Solids with holes of irregular shapes: effective moduli and anisotropy International Journal of Fracture 64 R9-12
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