Stress analysis in anisotropic functionally graded materials by the MLPG method

被引:75
作者
Sladek, J [1 ]
Sladek, V
Zhang, C
机构
[1] Slovak Acad Sci, Inst COnstruct & Architecture, Bratislava 84503, Slovakia
[2] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
关键词
anisotropic elasticity; anisotropic viscoelasticity; meshless local Petrov-Galerkin method (MLPG); local boundary integral equation method (LBIEM); moving least squares interpolation; Laplace-transform; functionally graded materials (FGMs);
D O I
10.1016/j.enganabound.2005.01.011
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A meshless method based on the local Petrov-Galerkin approach is proposed for stress analysis in two-dimensional (2D), anisotropic and linear elastic/viscoelastic solids with continuously varying material properties. The correspondence principle is applied for non-homogeneous, anisotropic and linear viscoelastic solids where the relaxation moduli are separable in space and time. The inertial dynamic term in the governing equations is considered too. A unit step function is used as the test functions in the local weak-form. It leads to local boundary integral equations (LBIEs). The analyzed domain is divided into small subdomains with a circular shape. The moving least squares (MLS) method is adopted for approximating the physical quantities in the LBIEs. For time-dependent problems, the Laplace-transform technique is utilized. Several numerical examples are given to verify the accuracy and the efficiency of the proposed method. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:597 / 609
页数:13
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