On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material

Qidwai, Muhammad A.; Lagoudas, Dimitris C.

doi:10.1016/s0749-6419(00)00012-7

Cited by 220 publications

(172 citation statements)

References 37 publications

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“…However, the simulation of certain problems like stents or endoscopic devices requires a geometrically nonlinear theory. Referring to this, only a few geometrically nonlinear concepts have been proposed in the common literature: on the one hand, phenomenological theories were published in Qidwai and Lagoudas 2000;Helm 2001;Müller and Bruhns 2004]. On the other hand, in [Anand and Gurtin 2003;Thamburaja and Anand 2003;Jung et al 2004], the focus has been on micromechanical models at finite deformations.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanics of martensitic phase transitions in shape memory alloys, I: Constitutive theories for small and large deformations

Helm

2007

JOMMS

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This article deals with the geometrically linear and nonlinear modeling of martensitic phase transitions in shape memory alloys. A geometrically nonlinear theory is required for the thermomechanical simulation of complex structures like endoscopic devices and stents. However, in certain situations like the simulation of pipe couplers, it is sufficient to apply a geometrically linear theory. In both cases, a free energy function is introduced, evolution equations for internal variables are postulated, and the dependence of the fraction of oriented martensite on the transformation strains is represented by a novel constitutive equation. In all, the developed constitutive theories are able to depict the thermomechanically coupled behavior of shape memory alloys. This is demonstrated in Part II of this article (to appear in this journal, in coauthorship with M. Schäfers). For this purpose, the theories are numerically treated in the framework of the finite element method in order to solve initial-boundary-value problems. These illustrate the main features of the constitutive theories by means of numerical test calculations. The results are compared with experimental data.

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Section: Introductionmentioning

confidence: 99%

Thermomechanics of martensitic phase transitions in shape memory alloys, I: Constitutive theories for small and large deformations

Helm

2007

JOMMS

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“…During the last 15 years a number of research papers on constitutive modeling of dense SMAs has appeared in the literature. Some representative works have been published by Tanaka (1986); Rogers (1990, 1992); Brinson and Lammering (1993); Graesser and Cozzarelli (1994); Boyd and Lagoudas (1996); Lagoudas et al (1996); Levitas (1998); Govindjee and Hall (1999) and Qidwai and Lagoudas (2000b). Additional papers can be found in the review paper by Birman (1997).…”

Section: Introductionmentioning

confidence: 99%

Modeling of the thermomechanical behavior of porous shape memory alloys

Qidwai

Entchev

Lagoudas

et al. 2001

International Journal of Solids and Structures

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“…Modeling of 3-D thermomechanical constitutive response of SMAs undergoing stress-induced phase transformation; tensioncompression asymmetry, negative volumetric transformation strain and pressure dependence. It is concluded that J2-J1 type transformation function is more effective in capturing 3-D stress induced phase transformation [10].…”

Section: Basic Research Issuesmentioning

confidence: 96%

Thermomechanical Modeling and Experimentation for SMA Actuators under Cyclic Loading

Lagoudas¹

2002

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On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material

Cited by 220 publications

References 37 publications

Thermomechanics of martensitic phase transitions in shape memory alloys, I: Constitutive theories for small and large deformations

Thermomechanics of martensitic phase transitions in shape memory alloys, I: Constitutive theories for small and large deformations

Modeling of the thermomechanical behavior of porous shape memory alloys

Thermomechanical Modeling and Experimentation for SMA Actuators under Cyclic Loading

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