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NON-LOCAL MODELING ON macroscopic domain patterns IN PHASE TRANSFORMATION OF NiTi TUBES

Acta Mechanica Solida Sinica 2009年第5期22卷 407-417页

作者： Yongjun He Qingping Sun Department of Mechanical Engineering The Hong Kong University of Science and Technology Hong Kong China

Recent experiments revealed many new phenomena of the macroscopic domain patterns in the stress-induced phase transformation of a superelastic polycrystalline NiTi tube during tensile loading. The new phenomena include deformation instability with the formation of a helical domain, domain topology transition from helix to cylinder, domain-front branching and loading-path dependence of domain patterns. In this paper, we model the polycrystal as an elastic continuum with nonconvex strain energy and adopt the non-local strain gradient energy to account for the energy of the diffusive domain front. We simulate the equilibrium domain patterns and their evolution in the tubes under tensile loading by a non-local Finite Element Method （FEM）. It is revealed that the observed loading-path dependence and topology transition of do- main patterns are due to the thermodynamic metastability of the tube system. The computation also shows that the tube-wall thickness has a significant effect on the domain patterns： with fixed material properties and interfacial energy density, a large tube-wall thickness leads to a long and slim helical domain and a severe branching of the cylindrical-domain front.

关键词： martensitic phase transition macroscopic domain patterns NiTi polycrystalline tubes non-local and nonconvex elasticity tube-wall thickness effect metastability and instability

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Non-local modeling on macroscopic domain patterns in phase transformation of NiTi tubes

Non-local modeling on macroscopic domain patterns in phase t...

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损伤、断裂与微纳米力学学术研讨会

作者： Yongjun He,Qingping Sun~* Department of Mechanical Engineering,The Hong Kong University of Science and Technology,Hong Kong, China

Recent experiments revealed many new phenomena of the macroscopic domain patterns in the stress-induced phase transformation of a superelastic polycrystalline NiTi tube during tensile *** new phenomena include deformation instability with the formation of a helical domain,domain topology transition from helix to cylinder,domain-front branching and loading-path dependence of domain *** this paper,we model the polycrystal as an elastic continuum with nonconvex strain energy and adopt non-local strain gradient energy to account for the energy of the diffusive domain *** simulate the equilibrium domain patterns and their evolution in the tubes under tensile loading by a non-local Finite Element Method(FEM).It is revealed that the observed loading-path dependence and topology transition of domain patterns are due to thermodynamic metastability of the tube *** computation also shows that the tube-wall thickness has a significant effect on the domain patterns:a large tube-wall thickness leads to a long and slim helical domain and a severe branching of the cylindrical-domain front.

关键词： Martensitic phase transition macroscopic domain patterns NiTi polycrystalline tubes Non-local and non-convex elasticity Finite element method Tube-wall thickness effect Metastability and instability

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