One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

The use of the thermoelastic martensitic transformation and its reverse transformation has recently been proposed and demonstrated for several active control ap plications. However, the present constitutive models have lacked several important funda mental concepts that are essential for many of the proposed intelligent material system ap plications such as shape memory hybrid composites. A complete, unified, one-dimensional constitutive model of shape memory materials is developed and presented in this paper. The thermomechanical model formulation herein will investigate important material characteristics involved with the internal phase transformation of shape memory alloys. These characteristics include energy dissipation in the material that governs the damping behavior, stress-strain-temperature relations for pseudoelasticity, and the shape memory effect. Some numerical examples using the model are also presented.

[1]  J. Sprekels,et al.  Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys , 1988 .

[2]  Jürgen Sprekels,et al.  Global solutions to a model of structural phase transitions in shape memory alloys , 1988 .

[3]  A. A. Lacey,et al.  Shape Memory Alloys-Phenomenology and Simulation , 1987 .

[4]  J. L. Mcnichols,et al.  Thermodynamics of Nitinol , 1987 .

[5]  A. Zehnder,et al.  Superconducting Sn/Sn-oxide/Sn tunneling junctions as high-resolution x-ray detectors , 1987 .

[6]  K. Tanaka.  A THERMOMECHANICAL SKETCH OF SHAPE MEMORY EFFECT: ONE-DIMENSIONAL TENSILE BEHAVIOR , 1986 .

[7]  Teodor M. Atanackovic,et al.  A model for memory alloys in plane strain , 1986 .

[8]  N. Bojarski.  The far field in terms of the spatial Fourier transform of the sources and its implications on the inverse problem , 1985 .

[9]  Ingo Muller,et al.  Pseudoelasticity in Shape Memory Alloys--an Extreme Case of Thermoelasticity , 1985 .

[10]  K. Tanaka,et al.  A phenomenological theory of transformation superplasticity , 1985 .

[11]  K. Tanaka,et al.  A thermomechanical description of materials with internal variables in the process of phase transitions , 1982 .

[12]  C. M. Wayman.  Some Applications of Shape-Memory Alloys , 1980 .

[13]  I. Müller,et al.  A model for phase transition in pseudoelastic bodies , 1980 .

[14]  Ingo Müller,et al.  A model for a body with shape-memory , 1979 .

[15]  J. Cory.  Nitinol Thermodynamic State Surfaces , 1978 .

[16]  J. S. Cory,et al.  Nitinol thermodynamic state surfaces (heat engine material) , 1978 .

[17]  J. Perkins,et al.  Shape Memory Effects in Alloys , 1975 .

[18]  H. Warlimont,et al.  Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations , 1974 .