Elastic-plastic infinitesimal deformation in a solid disk under heat effect by using seth theory. (English) Zbl 1397.74029
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.
MSC:
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74F05 | Thermal effects in solid mechanics |
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