Meshless local Petrov-Galerkin method for stress and crack analysis in 3-D axisymmetric FGM bodies

被引:0
|
作者
Sladek, J [1 ]
Sladek, V
Krivacek, J
Zhang, C
机构
[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia
[2] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
来源
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2005年 / 8卷 / 03期
关键词
meshless method; local weak-form; unit step function; moving least-squares approximation; Laplace-transform; functionally graded materials (FGMs); transient elastodynamics; crack problems;
D O I
暂无
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 presented for stress analysis in three-dimensional (3-d) axisymmetric linear elastic solids with continuously varying material properties. The inertial effects are considered in dynamic problems. A unit step function is used as the test functions in the local weak-form. It is leading to local boundary integral equations (LBIEs). For transient elastodynamic problems the Laplace-transform technique is applied and the LBIEs are given in the Laplace-transformed domain. Axial symmetry of the geometry and the boundary conditions for a 3-d linear elastic solid reduces the original 3-d boundary value problem into a 2-d problem. The geometry of subdomains is selected as a toroid with a circular cross section in the considered (x(1),x(3))-plane. The final form of the local integral equations has a pure contour-integral character only in elastostatic problems. In elastodynamics an additional domain-integral is involved due to inertia terms. The moving least-squares (MLS) method is used for the approximation of physical quantities in LBEEs.
引用
收藏
页码:259 / 270
页数:12
相关论文
共 50 条