One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials
01 Apr 1990-Journal of Intelligent Material Systems and Structures (SAGE Publications)-Vol. 1, Iss: 2, pp 207-234
TL;DR: 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.
Citations
More filters
TL;DR: In this paper, the authors provide a concise point of departure for researchers and practitioners alike wishing to assess the current state of the art in the control and monitoring of civil engineering structures, and provide a link between structural control and other fields of control theory.
Abstract: This tutorial/survey paper: (1) provides a concise point of departure for researchers and practitioners alike wishing to assess the current state of the art in the control and monitoring of civil engineering structures; and (2) provides a link between structural control and other fields of control theory, pointing out both differences and similarities, and points out where future research and application efforts are likely to prove fruitful. The paper consists of the following sections: section 1 is an introduction; section 2 deals with passive energy dissipation; section 3 deals with active control; section 4 deals with hybrid and semiactive control systems; section 5 discusses sensors for structural control; section 6 deals with smart material systems; section 7 deals with health monitoring and damage detection; and section 8 deals with research needs. An extensive list of references is provided in the references section.
1,883 citations
TL;DR: In this article, a one-dimensional constitutive model for the thermomechanical behavior of shape memory alloys is developed based on previous work by Liang and Tanaka, and an internal variable ap-proach is used to deri...
Abstract: A one-dimensional constitutive model for the thermomechanical behavior of shape memory alloys is developed based on previous work by Liang and Tanaka. An internal variable ap proach is used to deri...
1,444 citations
Additional excerpts
...This article will focus, however, on the work presented separately by Tanaka and Liang, which is a unified constitutive law meeting the requirements laid out above (Tanaka, Osaka, et al., 1982; Tanaka and Iwasaki, 1985; Tanaka, 1986; Liang, 1990; Liang and Rogers, 1990)....
[...]
01 Jan 1993
TL;DR: In this paper, a one-dimensional constitutive model for the thermomechanical behavior of shape memory alloys is developed based on previous work by Liang and Tanaka, where an internal variable approach is used to derive a comprehensive constitutive law for shape memory alloy materials from first principles without the assumption of constant material functions.
Abstract: A one-dimensional constitutive model for the thermomechanical behavior of shape memory alloys is developed based on previous work by Liang and Tanaka. An internal variable approach is used to derive a comprehensive constitutive law for shape memory alloy materials from first principles without the assumption of constant material functions. This constitutive law is of such a form that it is well suited to further practical engineering applications and calculations. A separation of the martensite fraction internal variable into temperature-induced and stress-induced parts is presented and justified which then allows the derived constitutive law to accurately represent both the pseudoelastic and shape memory effects at all temperatures. Several numerical examples are given which illustrate the ability of the constitutive law to capture the unique thermomechanical behavior of shape memory alloys due to their internal phase transformations with stress and temperature.
1,350 citations
TL;DR: Shape-memory polymers (SMPs) undergo significant macroscopic deformation upon the application of an external stimulus (e.g., heat, electricity, light, magnetism, moisture and even a change in pH value).
1,217 citations
TL;DR: A brief review on the current progress in stimuli-responsive shape memory materials can be found in this article, where the focus is on twofold, namely newly observed ones, and novel applications with great potential at present and in near future.
864 citations
References
More filters
01 Jan 1986
701 citations
Book•
18 Aug 2012
453 citations
"One-Dimensional Thermomechanical Co..." refers background or methods in this paper
...SEVERAL BOOKS [1-3] and many technical papers have been devoted to shape memory alloy (SMA) materials....
[...]
...Besides the conventional treatment to the stress-induced martensitic phase transformation [1-3,6], Muller and his colleagues proposed another model based on shape memory effect phenomenology, thermodynamics, and statistical physics [7-11]....
[...]
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.
Abstract: The pertinent thermodynamic relations, nucleation and growth and the influence of stress are considered and applied to thermoelasticity and the memory effects.
309 citations
01 Sep 1982
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.
Abstract: A continuum mechanical description is presented for thermoplastic materials in the process of solid-solid phase transition. The material is assumed to be 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 which describes the extent of phase transition. Applying Edelen's decomposition theorem, the plastic quantities are determined from the dissipation potential, while the elastic quantities are specified by the internal energy. The explicit form of the flow rule and the evolutional equations for the internal variables are derived. The constitutive equations for the stress and the entropy are obtained in rate-type. It is shown that the continuous cooling transformation (C-C-T) diagram and the isothermal time-temperature-transformation (T-T-T) diagram could be derived from the theory developed here. The infinitesimal case is discussed in detail.
270 citations
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.
Abstract: Uses or potential uses of shape memory alloys fall into industrial, energy, and dental/medical categories. These various applications are considered after a brief discussion of the nature of the shape memory effect and other interesting properties in shape memory alloys. Most applications involve NiTi-type and Cu-based alloys, the latter being relatively inexpensive to produce and fabricate into numerous forms.
127 citations
"One-Dimensional Thermomechanical Co..." refers background in this paper
...Because of the particular characteristics of this material, namely the shape memory effects (SME) and pseudoelasticity, many applications have been proposed that can utilize the material’s force or stiffness transduction capabilities [2-4]....
[...]