A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids
Article
Article Title | A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids |
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ERA Journal ID | 3475 |
Article Category | Article |
Authors | Gu, Y. T. (Author), Wang, Q. X. (Author), Lam, K. Y. (Author) and Dai, K. Y. (Author) |
Journal Title | Engineering Analysis with Boundary Elements |
Journal Citation | 31 (9), pp. 771-782 |
Number of Pages | 12 |
Year | 2007 |
Publisher | Elsevier |
Place of Publication | United Kingdom |
ISSN | 0955-7997 |
1873-197X | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.enganabound.2006.12.008 |
Web Address (URL) | https://www.sciencedirect.com/science/article/abs/pii/S0955799707000331 |
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. |
Keywords | Elasto-plastic analysis; Local weak-form; Material nonlinearity; Meshless method; Numerical simulation; RBF |
ANZSRC Field of Research 2020 | 401706. Numerical modelling and mechanical characterisation |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | University of Sydney |
Nanyang Technological University, Singapore | |
National University of Singapore | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q727z/a-pseudo-elastic-local-meshless-method-for-analysis-of-material-nonlinear-problems-in-solids
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