G. R. Liu1, 2
The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.4, pp. 113-114, 2009, DOI:10.3970/icces.2009.012.113
Abstract This paper introduces first a weakened weakform (W2) using a generalized gradient smoothing technique for an unified formulation of a wide class of compatible and incompatible displacement methods including settings of the finite element methods (FEM) and meshfree methods of special properties including the upper bound properties. A G space is first defined to include discontinuous functions allowing the use of much more types of methods/techniques to create shape functions for numerical models; Properties and a set of important inequalities for G spaces are then proven in theory and analyzed in detail. We prove that the numerical methods developed based… More >
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