A boundary element formulation for analysis of elastoplastic plates with geometrical nonlinearity |
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Authors: | Leandro Waidemam Wilson Sergio Venturini |
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Affiliation: | (1) INTEMA, Universidad Nacional de Mar del Plata-CONICET, J.B. Justo 4302, (7600) Mar del Plata, Argentina;(2) Department of Engineering, Queen Mary College, University of London, Mile End, London, E1 4NS, U.K., e-mail |
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Abstract: | In this paper a new boundary element method formulation for elastoplastic analysis of plates with geometrical nonlinearities
is presented. The von Mises criterion with linear isotropic hardening is considered to evaluate the plastic zone. Large deflections
are assumed but within the context of small strain. To derive the boundary integral equations the von Kármán’s hypothesis
is taken into account. An initial stress field is applied to correct the true stresses according to the adopted criterion.
Isoparametric linear elements are used to approximate the boundary unknown values while triangular internal cells with linear
shape function are adopted to evaluate the domain value influences. The nonlinear system of equations is solved by using an
implicit scheme together with the consistent tangent operator derived along the paper. Numerical examples are presented to
demonstrate the accuracy and the validity of the proposed formulation. |
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Keywords: | |
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