Liu Hong-sheng
2007
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Journal
Materials Science and Technology
Abstract
Element-free Galerkin(EFG) method is one of the popularly used meshless methods.Based on the introduction of EFG's features and scientific fundamentals,current research progresses of the basis function,weight function,radius of influence domain,aspects associated with the moving least square approximation,are discussed in detail.Besides,the latest situation and achievements about the enforcement of essential boundary condition,discretization and integration are illustrated.The applications of adaptive process and error analysis method in EFG are also presented.Furthermore,a slender cantilever beam with uniformly distributed pressure is adopted as a numerical example to verify the effectiveness of EFG method.Finally,for the disadvantages of EFG method several research tendencies are proposed.