Stress distribution in an infinite plate with discontinuities like elliptical or circular hole by boundary force method

This paper deals with the boundary force method to determine the stress distribution in an infinite plate subjected to uni-axial tension having elliptical or circular hole. The elasticity solution for a point force in an infinite plate is used as the fundamental solution. The boundary conditions are...

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Veröffentlicht in:SN applied sciences Jg. 5; H. 3; S. 77 - 13
Hauptverfasser: Badiger, Shrikrishna, D. S., Ramakrishna
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.03.2023
Springer Nature B.V
Springer
Schlagworte:
Applied and Technical Physics
Axial stress
Body force method
Boundary conditions
Boundary force method
Chemistry/Food Science
Circular hole
Earth Sciences
Elliptical hole
Engineering
Environment
Free boundaries
Hoop stress
Linear equations
Materials Science
Mathematical analysis
Research Article
Stress analysis
Stress concentration
Stress concentration factor
Stress distribution
Superposition (mathematics)
Stress concentration factor
Body force method
Elliptical hole
Circular hole
Boundary force method
ISSN:2523-3963, 2523-3971
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Zusammenfassung:This paper deals with the boundary force method to determine the stress distribution in an infinite plate subjected to uni-axial tension having elliptical or circular hole. The elasticity solution for a point force in an infinite plate is used as the fundamental solution. The boundary conditions are satisfied in terms of the resultant forces. Stress distribution obtained by boundary force method is validated against the results from analytical equations. Traction free boundary condition is weakly satisfied. Hoop stress closely follow the results from analytical equations (AE). Accurate values of stress concentration factor are computed using boundary force method for different values of ratio of semimajor axis to semiminor axis. Article highlights Boundary force method is a hybrid technique (analytical and numerical) which employs superposition principle. This method is applied to elliptical/circular hole and provides accurate estimation of stress concentration factor. Accuracy of the estimated stress concentration factor depends upon number of divisions of the hole geometry.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2523-3963
2523-3971
DOI:10.1007/s42452-023-05289-9