Journal ArticleDOI
On the thermomechanics of shape memory wires
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In this article, the thermomechanical behavior of a shape memory wire is modeled based on a theory that takes cognizance of the fact that the body can possess multiple natural configurations.Abstract:
The thermomechanical behavior of a shape memory wire is modeled based on a theory that takes cognizance of the fact that the body can possess multiple natural configurations [1]. The constitutive equations are developed by first constructing the form of the Helmholtz potential (based on different modes of energy storage), and dissipation mechanisms. The internal energy includes contributions from the strain energy, the latent energy, the interfacial energy and thermal energy. The entropy of the system includes the"entropy jump" associated with the phase transition.¶The role of the rate of mechanical dissipation as a mechanism for entropy generation and its importance in describing the hysteretic behavior is brought out by considering the difference between hysteretic and non-hysteretic (dissipation-less) behavior.¶Finally, simple linear or quadratic forms are assumed for the various constitutive functions and the full shape memory response is modeled. A procedure for the determination of the constants is also indicated and the constants for two systems (CuZnAl and NiTi) are calculated from published experimental data (see [2, 3]). The predictions of the theory show remarkable agreement with the experimental data. However, some of the results predicted by the theory are different from the experimental results reported in Huo and Muller [2] We discuss some of the issues regarding this discrepancy and show that there appears to be some internal inconsistency between the experimental data reported in Figure 6 and Figure 9 of Huo and Muller [2] (provided they represent the same sample).read more
Citations
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Journal ArticleDOI
On Implicit Constitutive Theories
TL;DR: In this paper, the authors discuss implicit constitutive theories for the Helmholtz potential that depends on both the stress and strain, and which does not dissipate in any admissible process.
Journal ArticleDOI
On the mechanics of a growing tumor
TL;DR: In this paper, the authors study tumor growth within the framework of Continuum Mechanics, considering a tumor as a specific case of a growing soft tissue and using the notion of multiple natural configurations, they introduce a mechanical description that splits volumetric growth and mechanical response into two separate contributions.
Journal ArticleDOI
Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs
TL;DR: In this article, Entchev et al. developed a three-dimensional thermomechanical constitutive model for fully dense shape memory alloys (SMAs) using return mapping algorithms.
Journal ArticleDOI
On thermomechanical restrictions of continua
TL;DR: It is shown by means of an example that even yield–type phenomena can be accommodated within this framework, while they cannot within the framework of Onsager, and issues concerning constraints, especially in thermoelasticity, are discussed.
References
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Book
Thermodynamics and an Introduction to Thermostatics
TL;DR: The Canonical Formalism Statistical Mechanics in the Entropy Representation as discussed by the authors is a generalization of statistical mechanics in the Helmholtz Representation, and it has been applied to general systems.
Book
Thermodynamics and an Introduction to Thermostatistics
TL;DR: The Canonical Formalism Statistical Mechanics in the Entropy Representation as mentioned in this paper is a generalization of statistical mechanics in the Helmholtz Representation, and it has been applied to general systems.
Journal ArticleDOI
Plastic Internal Variables Formalism of Cyclic Plasticity
Yannis F. Dafalias,Egor P. Popov +1 more