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Failure Analysis of Anisotropic Plates by the Boundary Element Method

Published online by Cambridge University Press:  21 October 2014

A. Sahli ,
S. Boufeldja ,
S. Kebdani  and
O. Rahmani
A. Sahli*
Affiliation:
Faculté de Génie Mécanique, Université des Sciences et de la Technologie d'Oran, Oran, Algérie
S. Boufeldja
Affiliation:
Faculté de Génie Mécanique, Université des Sciences et de la Technologie d'Oran, Oran, Algérie
S. Kebdani
Affiliation:
Faculté de Génie Mécanique, Université des Sciences et de la Technologie d'Oran, Oran, Algérie
O. Rahmani
Affiliation:
Faculté de Génie Mécanique, Université des Sciences et de la Technologie d'Oran, Oran, Algérie
*
*[email protected]
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Abstract

This paper presents a dynamic formulation of the boundary element method for stress and failure criterion analyses of anisotropic thin plates. The elastostatic fundamental solutions are used in the formulations and inertia terms are treated as body forces. The radial integration method (RIM) is used to obtain a boundary element formulationithout any domain integral for general anisotropic plate problems. In the RIM, the augmented thin plate spline is used as the approximation function. A formulation for transient analysis is implemented. The time integration is carried out using the Houbolt method. Integral equations for the second derivatives of deflection are developed and all derivatives of fundamental solutions are computed analytically. Only the boundary is discretized in the formulation. Numerical results show good agreement with results available in literature as well as finite element results.

Keywords

Boundary element methodRadial integration method, PlatesComposite materialsDynamic of platesStress analyses and failure criterion
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 6 , December 2014 , pp. 561 - 570
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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