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Structural Engineering and Mechanics Volume 58, Number 4, May25 2016 , pages 719-729 DOI: https://doi.org/10.12989/sem.2016.58.4.719 |
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Effect of the yield criterion on the strain rate and plastic work rate intensity factors in axisymmetric flow |
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Elena A. Lyamina and Thanh Nguyen
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| Abstract | ||
| The main objective of the present paper is to study the effect of the yield criterion on the magnitude of the strain rate and plastic work rate intensity factors in axisymmetric flow of isotropic incompressible rigid perfectly plastic material by means of a problem permitting a closed-form solution. The boundary value problem consisting of the axisymmetric deformation of a plastic tube is solved. The outer surface of the tube contracts. The radius of the inner surface does not change. The material of the tube obeys quite a general yield criterion and its associated flow rule. The maximum friction law is assumed at the inner surface of the tube. Therefore, the velocity field is singular near this surface. In particular, the strain rate and plastic work rate intensity factors are derived from the solution. It is shown that the strain rate intensity factor does not depend on the yield criterion but the plastic work rate intensity factor does. | ||
| Key Words | ||
| strain rate intensity factor; plastic work rate intensity factor; generalised yield criterion; axisymmetric flow | ||
| Address | ||
| Elena A. Lyamina: Laboratory for Strength and Fracture of Materials and Structures, Institute for Problems in Mechanics, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia Thanh Nguyen: Institute of Mechanics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam | ||