Elastic–Plastic Infinitesimal Deformation in a Solid Disk Under Heat Effect by Using Seth Theory

Seth’s transition theory is applied to the problem of elastic–plastic infinitesimal deformation in a solid disk due to heat source. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. Future work may be directe...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2017-06, Vol.3 (2), p.621-633
Main Authors: Thakur, Pankaj, Singh, Satya Bir, Sawhney, Shruti
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Compressibility
Computational mathematics
Computational Science and Engineering
Deformation effects
Elastic deformation
Heat generation
High temperature effects
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Plane stress
Plastic zones
Theoretical
Yield criteria
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Summary:Seth’s transition theory is applied to the problem of elastic–plastic infinitesimal deformation in a solid disk due to heat source. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. Future work may be directed to the transient heat generation case under the plane stress condition. It has been seen that radial stresses are maximum at the inner plastic zone and circumferential stresses are maximum at the outer surface. Compressibility decreases values of stresses. Heat generation affects the values of stresses and displacement to be increased. The present solution is illustrated by numerical results and is compared with the heat generation case.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-015-0116-9