Showing papers by "YuanTong Gu published in 2007"

A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids

Abstract: This paper aims to develop an effective meshless technique for the analysis of elasto-plastic problems. The material nonlinearity will be studied by a new pseudo-elastic local radial point interpolation formulation which is based on the local Petrov–Galerkin form and the radial basis function (RBF) interpolation. Hencky's total deformation theory is used to define the effective Young's modulus and Poisson's ratio, which are treated as spatial field variables, and considered as functions of the final stress state and material properties. These effective material parameters are obtained in an iterative manner using the strain controlled projection method. Several numerical examples are presented to illustrate the effectivity of the newly developed formulation, and the numerical results obtained by the present method closely agree with the results obtained by other methods. It has proven that the present pseudo-elastic local meshless method is effective and easy to apply to the analysis of elasto-plastic materials subjected to proportional loading.

A Coupled Meshfree Technique/Molecular Dynamics Method for Multiscale Stress and Deformation Analysis in Computational Mechanics

Abstract: A concurrent multiscale method has been developed based on the combination of the advanced meshfree method and molecular dynamics (MD). An advanced transition algorithm using regular transition particles was employed to ensure the compatibility of both displacements and their gradients. An effective local quasi-continuum approach is also applied to obtain the equivalent continuum strain energy density based on the atomistic potentials and Cauchy-Born rule. The influences of the size of transition region and the number of transition particles are investigated thoroughly. It has been demonstrated that the present multiscale simulation technique is very accurate and stable, and it has very good potential to develop a practical simulation tool for the multiscale systems in computational mechanics.

A New Method for Stress and Deformation Analysis from Nano to Macro Dimensional Scales

Abstract: This paper presents a concurrent multiscale method for the stress analysis of solids using a coupled meshless and molecular dynamic analysis. A new transition algorithm using transition particles was employed to ensure the compatibility of both displacements and their gradients. The equivalent continuum strain energy density was obtained locally based on the atomic potential and Cauchy-Born rule, and hence plasticity can be easily handled in not only the atomic domain but also the continuum domain. Numerical examples demonstrated that the present multiscale technique has a promising potential of application to multiscale systems subjected to deformation.