Finite element analysis (FEA) has become the method of choice for the stress analysis of many of the complex configurations encountered in practice. Such configurations can contain stress singularities. Then, it is critical for the necessarily finite estimates from finite elements to be rejected as valid results for the infinite stresses present. There is an extensive literature devoted to the asymptotic identification of stress singularities that can often, but not always, provide a means for such rejection. The present study seeks to offer a further means of rejection: mesh refinement with divergence checks. These divergence checks are a natural counterpart to the convergence checks of ASME. The two are used together on 265 finite element stresses at 32 different singularities: all of these finite element stresses are thus rejected.
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February 2019
Research-Article
On the Detection of Stress Singularities in Finite Element Analysis
G. B. Sinclair,
G. B. Sinclair
Department of Mechanical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
Louisiana State University,
Baton Rouge, LA 70803
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J. R. Beisheim,
J. R. Beisheim
Development Department,
ANSYS Inc.,
Canonsburg, PA 15317
ANSYS Inc.,
Canonsburg, PA 15317
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A. A. Kardak
A. A. Kardak
OPENSO Engineering,
Edwardsville, IL 62025
Edwardsville, IL 62025
Search for other works by this author on:
G. B. Sinclair
Department of Mechanical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
Louisiana State University,
Baton Rouge, LA 70803
J. R. Beisheim
Development Department,
ANSYS Inc.,
Canonsburg, PA 15317
ANSYS Inc.,
Canonsburg, PA 15317
A. A. Kardak
OPENSO Engineering,
Edwardsville, IL 62025
Edwardsville, IL 62025
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 8, 2018; final manuscript received October 16, 2018; published online December 3, 2018. Assoc. Editor: Shaoxing Qu.
J. Appl. Mech. Feb 2019, 86(2): 021005 (18 pages)
Published Online: December 3, 2018
Article history
Received:
September 8, 2018
Revised:
October 16, 2018
Citation
Sinclair, G. B., Beisheim, J. R., and Kardak, A. A. (December 3, 2018). "On the Detection of Stress Singularities in Finite Element Analysis." ASME. J. Appl. Mech. February 2019; 86(2): 021005. https://doi.org/10.1115/1.4041766
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