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

Article

Gu, Y. T., Wang, Q. X., Lam, K. Y. and Dai, K. Y.. 2007. "A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids." Engineering Analysis with Boundary Elements. 31 (9), pp. 771-782. https://doi.org/10.1016/j.enganabound.2006.12.008
Article Title

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

ERA Journal ID3475
Article CategoryArticle
AuthorsGu, Y. T. (Author), Wang, Q. X. (Author), Lam, K. Y. (Author) and Dai, K. Y. (Author)
Journal TitleEngineering Analysis with Boundary Elements
Journal Citation31 (9), pp. 771-782
Number of Pages12
Year2007
PublisherElsevier
Place of PublicationUnited Kingdom
ISSN0955-7997
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.

KeywordsElasto-plastic analysis; Local weak-form; Material nonlinearity; Meshless method; Numerical simulation; RBF
ANZSRC Field of Research 2020401706. Numerical modelling and mechanical characterisation
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Byline AffiliationsUniversity of Sydney
Nanyang Technological University, Singapore
National University of Singapore
Institution of OriginUniversity of Southern Queensland
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Thibbotuwawa, Namal, Oloyede, Adekunle, Senadeera, Wijitha, Li, Tong and Gu, YuanTong. 2015. "Investigation of the mechanical behavior of kangaroo humeral head cartilage tissue by a porohyperelastic model based on the strain-rate-dependent permeability." Journal of The Mechanical Behavior of Biomedical Materials. 51, pp. 248-259. https://doi.org/10.1016/j.jmbbm.2015.07.018
Analysis of strain-rate dependent mechanical behavior of single chondrocyte: a finite element study
Gu, YuanTong, Nguyen, Trung Dung, Oloyede, Adekunle and Senadeera, Wijitha. 2014. "Analysis of strain-rate dependent mechanical behavior of single chondrocyte: a finite element study." International Journal of Computational Methods. 11 (1 (Supplement)), pp. 1344005-1. https://doi.org/10.1142/S0219876213440052
A particle based model to simulate microscale morphological changes of plant tissues during drying
Karunasena, H. C. P., Senadeera, W., Brown, R. J. and Gu, Y. T.. 2014. "A particle based model to simulate microscale morphological changes of plant tissues during drying." Soft Matter. 10 (29), pp. 5249-5268. https://doi.org/10.1039/c4sm00526k
A mesh free model for plant tissue deformations during drying
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Numerical investigation of plant tissue porosity and its influence on cellular level shrinkage during drying
Karunasena, H. C. P., Gu, Y. T., Brown, R. J. and Senadeera, W.. 2015. "Numerical investigation of plant tissue porosity and its influence on cellular level shrinkage during drying." Biosystems Engineering. 132, pp. 71-87. https://doi.org/10.1016/j.biosystemseng.2015.02.002
Application of meshfree methods to numerically simulate microscale deformations of different plant food materials during drying
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Scanning electron microscopic study of microstructure of gala apples during hot air drying
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Numerical investigation of case hardening of plant tissue during drying and its influence on the cellular-level shrinkage
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A constitutive model for mechanical response characterization of pumpkin peel and flesh tissues under tensile and compressive loadings
Shirmohammadi, Maryam, Yarlagadda, Prasad K. D. V. and Gu, YuanTong. 2015. "A constitutive model for mechanical response characterization of pumpkin peel and flesh tissues under tensile and compressive loadings ." Journal of Food Science and Technology. 52 (8), pp. 4874-4884. https://doi.org/10.1007/s13197-014-1605-2
Comprehensive Contribution of Filament Thickness and Crosslinker Failure to the Rheological Property of F-actin Cytoskeleton
Li, Tong, Liu, Ling, Hu, Dean, Oloyede, Adekunle, Xiao, Yin, Yarlagadda, Prasad and Gu, YuanTong. 2015. "Comprehensive Contribution of Filament Thickness and Crosslinker Failure to the Rheological Property of F-actin Cytoskeleton." Cellular and Molecular Bioengineering. 8 (2), pp. 278-284. https://doi.org/10.1007/s12195-015-0382-y
Trans-scale Granular Modelling of Cytoskeleton: a Mini-Review
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Tensile properties of Si nanowires with faulted stacking layers
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Molecular investigation of the mechanical properties of single actin filaments based on vibration analyses
Li, Tong, Gu, Y. T., Oloyede, Adekunle and Yarlagadda, Prasad K. D. V.. 2014. "Molecular investigation of the mechanical properties of single actin filaments based on vibration analyses." Computer Methods in Biomechanics and Biomedical Engineering: Imaging and Visualization. 17 (6), pp. 616-622. https://doi.org/10.1080/10255842.2012.706279
How to increase the accuracy of analysis and reduce the computational time in ANSYS in the case of deformation study of orthopedic bone plates
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Bending properties of Ag nanowires with pre-existing surface defects
Zhan, H. F., Gu, Y. T., Yan, C. and Yarlagadda, P. K. D. V.. 2014. "Bending properties of Ag nanowires with pre-existing surface defects." Computational Materials Science. 81, pp. 45-51. https://doi.org/10.1016/j.commatsci.2013.05.032
Studies on bending limitations for the optimal fit of orthopaedic bone plates
Malekani, J., Schmutz, B., Gudimetla, P., Gu, Y., Schuetz, M. and Yarlagadda, Prasad. 2013. "Studies on bending limitations for the optimal fit of orthopaedic bone plates." 2nd International Conference on Materials and Products Manufacturing Technology (ICMPMT 2012). 22 - 23 Sep 2012 Switzerland. https://doi.org/10.4028/www.scientific.net/AMR.602-604.1181
A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline
Gu, Y.T. and Wang, Q.. 2008. "A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline." Engineering Computations: international journal for computer-aided engineering and software. 25 (6), pp. 569-588. https://doi.org/10.1108/02644400810891553
A combined meshfree method and molecular dynamics in the multiscale length simulation
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