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Effective shear modulus approach for two dimensional solids and plate bending problems by meshless point collocation method

Tu, W., Gu, Y.T., & Wen, P. (2012) Effective shear modulus approach for two dimensional solids and plate bending problems by meshless point collocation method. Engineering Analysis with Boundary Elements, 36(5), pp. 675-684.

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Abstract

For the analysis of material nonlinearity, an effective shear modulus approach based on the strain control method is proposed in this paper by using point collocation method. Hencky’s total deformation theory is used to evaluate the effective shear modulus, Young’s modulus and Poisson’s ratio, which are treated as spatial field variables. These effective properties are obtained by the strain controlled projection method in an iterative manner. To evaluate the second order derivatives of shape function at the field point, the radial basis function (RBF) in the local support domain is used. Several numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method and comparisons have been made with analytical solutions and the finite element method (ABAQUS).

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ID Code: 48081
Item Type: Journal Article
Keywords: Effective shear modulus, material nonlinearity, elastoplasticity, point collocation method, radial basis
DOI: 10.1016/j.enganabound.2011.11.016
ISSN: 0955-7997
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2011 Elsevier Ltd.
Copyright Statement: This is the author’s version of a work that was accepted for publication in <Engineering Analysis with Boundary Elements>. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Engineering Analysis with Boundary Elements, [VOL 36, ISSUE 5, (2012)] DOI: 10.1016/j.enganabound.2011.11.016
Deposited On: 17 Jan 2012 08:25
Last Modified: 15 Sep 2013 00:29

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