@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}
}