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Boundary element method for shear deformable plates with combined geometric and material nonlinearities
Affiliation:1. Instituto Tecnológico de León, Doctorado interinstitucional en Ciencias en Computación, División de Estudios de Posgrado e Investigación, León, Guanajuato, Mexico;2. Computing Science and Mathematics, University of Stirling, Stirling, Scotland, UK;1. Department of Information Systems and Supply Chain Management, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA;2. Department of Management Science and Statistics, College of Business, The University of Texas at San Antonio, San Antonio, TX 78249, USA;1. TNO, P.O. Box 96864, NL-2509 JG, The Hague, The Netherlands;2. Netherlands Defence Academy, Faculty of Military Sciences, Enys House, Het Nieuwe Diep 8, 1781 AC, Den Helder, The Netherlands;3. Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR, Rotterdam, The Netherlands;1. International Center of Management Science and Engineering, School of Management and Engineering, Nanjing University, Nanjing, China;2. School of Business and Department of Mathematics, Nanjing University, Nanjing, China;3. Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
Abstract:In this paper a new boundary element formulation for shear deformable plate theory with combined geometric and material nonlinearities is presented. The material is assumed to undergo large deflection with small strains. The von Mises criteria is used to evaluate the plastic zone and an elastic perfectly plastic material behaviour is assumed. An initial stress formulation is used to formulate the boundary integral equations. The domain integrals involving geometrical and material nonlinear terms are evaluated using a cell discretization technique. A total incremental method is applied to solve the nonlinear boundary integral equations. Numerical examples are presented to demonstrate the validity and the accuracy of the proposed formulation.
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