A BEM implementation for 2D problems in plane orthotropic elasticity

Kadioglu, N.; Ataoglu, S.

doi:10.12989/sem.2007.26.5.591

Cited by 1 publication

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[5] came to the conclusion that a deep analysis of the hypersingular formulation provides an opportunity to increase the accuracy of the stress components computed at interior points close to the contour and on the contour itself. The theory of the hypersingular boundary integral equations, in which the displacements are the fundamental variables, is developed further for 2D and 3D problems [6][7][8][9][10][11][12][13][14] and there are a number of issues (see for instance [15][16][17][18]) or [19] for plane orthotropic elasticity) to which they can be applied successfully.…”

Section: Introductionmentioning

confidence: 99%

Hypersingular boundary integral equations for plane orthotropic elasticity in terms of first-order stress functions

Szirbik¹

2020

JCAM

View full text Add to dashboard Cite

This paper is intended to present an implementation of the hypersingular boundary integral equations in terms of first-order stress functions for stress computations in plane orthotropic elasticity. In general, the traditional computational technique of the boundary element method used for computing the stress distribution on the boundary and close to it is not as accurate as it should be. In contrast, the accuracy of stress computations on the boundary is greatly increased by applying the hypersingular integral equations. Contrary to the method in which the solution is based on an approximation of displacement field, here the first-order stress functions and the rigid body rotation are the fundamental variables. An advantage of this approach is that the stress components can be obtained directly from the stress functions, there is, therefore, no need for Hooke's law, which should be used when they are computed from displacements. In addition, the computational work can be reduced when the stress distribution is computed at an arbitrary point on the boundary. The numerical examples presented prove the efficiency of this technique.

show abstract

Section: Introductionmentioning

confidence: 99%

Hypersingular boundary integral equations for plane orthotropic elasticity in terms of first-order stress functions

Szirbik¹

2020

JCAM

View full text Add to dashboard Cite

show abstract

A BEM implementation for 2D problems in plane orthotropic elasticity

Cited by 1 publication

References 12 publications

Hypersingular boundary integral equations for plane orthotropic elasticity in terms of first-order stress functions

Hypersingular boundary integral equations for plane orthotropic elasticity in terms of first-order stress functions

Contact Info

Product

Resources

About