@Article{sdhm.2005.001.131, AUTHOR = {J. Sladek, V. Sladek, Ch.Zhang}, TITLE = {The MLPG Method for Crack Analysis in Anisotropic Functionally Graded Materials}, JOURNAL = {Structural Durability \& Health Monitoring}, VOLUME = {1}, YEAR = {2005}, NUMBER = {2}, PAGES = {131--144}, URL = {http://www.techscience.com/sdhm/v1n2/34947}, ISSN = {1930-2991}, ABSTRACT = {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.}, DOI = {10.3970/sdhm.2005.001.131} }