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Journal ArticleDOI

One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

Chen Liang, +1 more
- 01 Apr 1990 - 
- Vol. 1, Iss: 2, pp 207-234
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TLDR
In this article, a complete, unified, one-dimensional constitutive model of shape memory materials is developed and presented in the form of a thermomechanical model for shape memory alloys.
Abstract
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.

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Citations
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Journal ArticleDOI

An Accurate Prediction of Specific Damping Capacity of TiNi SMA Composite through a Three-Dimensional Constitutive Model:

TL;DR: In this article, the damping capacity of SMA fiber reinforced composite lamina is derived based on a simple square fiber packing and the constitutive relation and damping capability corresponding to all six directions (normal and shear) of the lamina level SMA composite have been derived.
Journal ArticleDOI

Vibration Analysis of a Beam with Embedded Shape Memory Alloy Wires

TL;DR: In this article, analytical relations for evaluating the exact solution of natural frequency and mode shape of beams with embedded shape memory alloy (SMA) wires are presented, and the effect of axial load generated by SMA wires with buckling load and frequency jump is accurately studied.
Journal ArticleDOI

On the Optimal Damping of a Vibrating Shape Memory Alloy Rod

TL;DR: In this article, the authors used the proper description of the stress-wave phenomenon instead of a quasi-static approximation, and described how the damping could be optimized to achieve maximal damping.
Journal ArticleDOI

Optimal Design of Shape Memory Alloy Composite under Deflection Constraint

TL;DR: The aim of this article is to present the formulation of an optimization problem for the parameters of an asymmetric composite laminate integrated with pre-stressed shape memory alloys (SMA) wires under bi-stability and a minimum deflection requirement.

Smart Tunable Dynamic Vibration Absorbers

TL;DR: In this paper, a shape memory alloy (SMA) material is used as an adaptive spring element to suppress the vibration in a limited band around a structural resonance, which can be used to suppress a troublesome resonance or to attenuate the dynamic response of structures at a particular forcing frequency.
References
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Journal ArticleDOI

Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations

TL;DR: In this paper, the pertinent thermodynamic relations, nucleation and growth and the influence of stress are considered and applied to thermoelasticity and the memory effects, and the effects of stress on memory are investigated.
Journal ArticleDOI

A thermomechanical description of materials with internal variables in the process of phase transitions

TL;DR: In this article, a model for thermoplastic materials in the process of solid-solid phase transition is presented, where the material is characterized by three different internal state variables: two internal variables which specify the crystallographic structural change during the plastic deformation, and a set of scalar internal variables describing the extent of phase transition.
Journal ArticleDOI

Some Applications of Shape-Memory Alloys

TL;DR: In this article, the shape memory effect and other interesting properties of shape memory alloys are discussed after a brief discussion of the nature of the shape-memory effect and some interesting properties.
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