𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A multi-dimensional constitutive model for shape memory alloys

✍ Scribed by C. Liang; C. A. Rogers


Publisher
Springer
Year
1992
Tongue
English
Weight
656 KB
Volume
26
Category
Article
ISSN
0022-0833

No coin nor oath required. For personal study only.

✦ Synopsis


This paper presents a multi-dimensional thermomechanical constitutive model for shape memory alloys (SMAs). This constitutive relation is based upon a combination of both micromechanics and macromechanics. The martensite fraction is introduced as a variable in this model to reflect the martensitic transformation that determines the unique characteristics of shape memory alloys. This constitutive relation can be used to study the complex behavior associated with 2-D and 3-D SMA structures. A simple example using this constitutive model is also presented, which reveals a new and interesting phenomenon of 3-D SMA structures.


📜 SIMILAR VOLUMES


A three-dimensional phenomenological mod
✍ Ferdinando Auricchio; Anne-Laure Bessoud; Alessandro Reali; Ulisse Stefanelli 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

## Abstract We present a three‐dimensional thermodynamically‐consistent phenomenological model for the magneto‐mechanical behavior of magnetic shape memory materials featuring a cubic‐totetragonal martensitic transformation. Existence of __energetic solutions__ for both the constitutive relation pr

A macroscopic constitutive model for sha
✍ P. Thamburaja; N. Nikabdullah 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 595 KB

In this work, we develop a non-local and thermo-mechanically-coupled constitutive model for polycrystalline shape-memory alloys (SMAs) capable of undergoing austenite $ martensite phase transformations. The theory is developed in the isotropic metal-plasticity setting using fundamental thermodynamic

A uniaxial model for shape-memory alloys
✍ F. Auricchio; J. Lubliner 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 907 KB

Akstraet--We present a uniaxial model for shape-memory alloys, cast within the generalizedplasticity framework, previously developed. The model is based on two internal variables (the singlevariant martensite fraction and the multiple-variant martensite fraction), for which evolution equations in ra

A computational model for shape memory a
✍ Sanjay Govindjee; Garrett J. Hall 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 387 KB

An investigation into the computational aspects of a multi-well mixture approach to shape memory modeling is undertaken with the goals of determining its qualitative behavior as well as its eciency in a numerical setting. A basic rate dependent model for the transformation is ®rst introduced, follow