TY  - EJOU
AU  - Sladek, J.  
AU  - Sladek, V.  
AU  - Ch.Zhang, 

TI  - The MLPG Method for Crack Analysis in Anisotropic Functionally Graded Materials
T2  - Structural Durability \& Health Monitoring

PY  - 2005
VL  - 1
IS  - 2
SN  - 1930-2991

AB  - A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-d), anisotropic and linear elastic solids with continuously varying material properties. Both quasi-static and transient elastodynamic problems are considered. For time-dependent problems, the Laplace-transform technique is utilized. A unit step function is used as the test function in the local weak-form. It is leading to local boundary integral equations (LBIEs) involving only a domain-integral in the case of transient dynamic problems. 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. The accuracy of the present method for computing the mode-I stress intensity factors is discussed by comparison with available analytical or numerical solutions.
KW  - Anisotropic elasticity
KW  -  meshless local Petrov-Galerkin method (MLPG)
KW  -  moving least-squares interpolation
KW  -  Laplace-transform
KW  -  functionally graded materials (FGMs)
KW  -  Stehfest's inversion
KW  -  stress intensity factors

DO  - 10.3970/sdhm.2005.001.131