Juan Zheng1,2,3, Shuyao Long1,2, Yuanbo Xiong1,2, Guangyao Li1
CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.1, pp. 19-34, 2009, DOI:10.3970/cmes.2009.042.019
Abstract In this paper, the finite volume meshless local Petrov-Galerkin method (FVMLPG) is applied to carry out a topology optimization design for the continuum structures. In FVMLPG method, the finite volume method is combined with the meshless local Petrov-Galekin method, and both strains as well as displacements are independently interpolated, at randomly distributed points in a local domain, using the moving least squares (MLS) approximation. The nodal values of strains are expressed in terms of the independently interpolated nodal values of displacements, by simple enforcing the strain-displacement relationships directly. Considering the relative density of nodes as design variable, and the minimization… More >
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