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

来源：

International Journal of Fracture | 2001年 / 107卷 / 2期

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

页码：21 / 28

页数：7

共 9 条

[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

[5]

Kachanov M.(undefined)undefined undefined undefined undefined-undefined

[6]

Tsukrov I.(undefined)undefined undefined undefined undefined-undefined

[7]

Shafiro B.(undefined)undefined undefined undefined undefined-undefined

[8]

Tsukrov I.(undefined)undefined undefined undefined undefined-undefined

[9]

Kachanov M.(undefined)undefined undefined undefined undefined-undefined

← 1 →