BEHAVIOR OF MATERIAL WITH A MEMORY OF FORM AND PSEUDOELASTICITY UNDER NONSTATIONARY LOADING OF THE BODY

A. D. Petrov

Abstract


A nonstationary thermo-elastic-plastic problem is examined for pseudoelastic bodies. The key feature of theory consists in that the diagram of tension of deformations appears as a three-unit broken line and can have a falling down segment. Thus the characteristic points of the diagram depend on the material’s temperature and phase state. Such character of the diagram leads to the discontinuous solutions and as a result to the moving boundaries of phase transitions. The example of thin stripe at uniaxonic tension is considered. It is shown that deformation is not homogeneous through the stripe and its development depends on the material’s properties. The got results confirm an idea that front of races change of deformation spreads with permanent speed that depends only on mechanical properties of material.


Keywords


thermo-elastic-plasticity; pseudoelasticity; form memory; phase transitions.

References


Abeyaratne R., Knowles J.K. (2006) Evolution of phase transitions. – Cambridge University Press

Shaw, J. A., Kyriakides S. (1995) Thermomechanical aspects of NiTi. J. Mechanics and Physics of Solids 43, 1243-1281

Shaw, J. A., Kyriakides S. (1997) On the nucleation and propagation of phase transformation fronts in a NiTi alloy. Acta Materialia 45, 683-700

Steblyanko P.A. (1998). Methods of decomposition in space problems of the theory of plasticity. – Kyiv: Naukova dumka (in Russ.)


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