ISSN:
1013-9826
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
This paper presents a fracture mechanics analysis in continuously non-homogeneous,isotropic, linear elastic and functionally graded materials (FGMs). A meshless boundary elementmethod (BEM) is developed for this purpose. Young’s modulus of the FGMs is assumed to have anexponential variation, while Poisson’s ratio is taken as constant. Since no simple fundamentalsolutions are available for general FGMs, fundamental solutions for homogeneous, isotropic andlinear elastic solids are used in the present BEM, which contains a domain-integral due to the materialnon-homogeneity. Normalized displacements are introduced to avoid displacement gradients in thedomain-integral. The domain-integral is transformed into a boundary integral along the globalboundary by using the radial integration method (RIM). To approximate the normalizeddisplacements arising in the domain-integral, basis functions consisting of radial basis functions andpolynomials in terms of global coordinates are applied. Numerical results are presented and discussedto show the accuracy and the efficiency of the present meshless BEM
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/52/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.324-325.1165.pdf
