Boundary contour analysis for surface stress recovery in 2-D elasticity and Stokes flow |
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Authors: | A-V Phan T-N Phan |
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Institution: | (1) Department of Mechanical Engineering, University of South Alabama, 36688 Mobile, AL, USA;(2) Mentor Graphics, 739 University Boulevard North, 36688 Mobile, AL, USA |
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Abstract: | Summary A variant of the boundary element method, called the boundary contour method, offers a further reduction in dimensionality.
Consequently, boundary contour analysis of 2-D problems does not require any numerical integration at all. In a boundary contour
analysis, boundary stresses can be accurately computed using the approach proposed in Ref. 1]. However, due to singularity,
this approach can be used only to calculate boundary stresses at points that do not lie at an end of a boundary element. Herein,
it is shown that a technique based on the displacement/velocity shape functions can overcome this drawback. Further, the approach
is much simpler to apply, requires less computational effort, and provides competitive accuracy. Numerical solutions and convergence
study for some well-known problems in linear elasticity and Stokes flow are presented to show the effectiveness of the proposed
approach.
This research was supported in part by the 2004 Ralph E. Powe Junior Faculty Enhancement Award from Oak Ridge Associated Universities
and by the University of South Alabama Research Council. |
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Keywords: | Boundary contour method Boundary element method Stress analysis Stress recovery |
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