Phenomenological Modeling of Shape Memory Alloys

Buravalla, Vidyashankar; Khandelwal, Ashish
July 2008
AIP Conference Proceedings;7/29/2008, Vol. 1029 Issue 1, p104
Conference Proceeding
Shape memory alloys exhibit two characteristic effects, viz., shape memory and superelasticity or pseudoelasticity, due to a reversible solid-solid transformation brought about by either temperature or stress or both. The two important aspects involved in modeling the macroscopic SMA behavior are the constitutive equation describing the stress-strain-temperature relationship and the evolution kinetics describing the phase transformation as a function of the driving forces. Phenomenological models for macroscopic behavior of SMAs are frequently used wherein the aforementioned aspects of SMA behavior are treated independently. Using empirical data, a phase diagram is constructed to describe evolution of martensitic phase fraction (ξ) as a function of stress and temperature. A constitutive equation is derived using the appropriate form of free energy. In this paper, salient aspects in phenomenological models are discussed and a robust model for SMA behavior is presented. Using a distance based memory parameter, rate based kinetics is provided along with a differential form of constitutive equation. Also, several critical issues in phenomenological modeling like prescribing consistent kinetics and catering to arbitrary thermomechanical loading are highlighted. Through numerical studies, it is shown that the proposed model provides consistent kinetics and caters to arbitrary thermomechanical loading.


Related Articles

  • A Shape Memory Alloy Based Cryogenic Thermal Conduction Switch. Krishnan, V. B.; Singh, J. D.; Woodruff, T. R.; Notardonato, W. U.; Vaidyanathan, R. // AIP Conference Proceedings;2004, Vol. 711 Issue 1, p26 

    Shape memory alloys (SMAs) can produce large strains when deformed (e.g., up to 8%). Heating results in a phase transformation and associated recovery of all the accumulated strain. This strain recovery can occur against large forces, resulting in their use as actuators. Thus an SMA element can...

  • Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys. Frigeri, Sergio; Stefanelli, Ulisse // Continuum Mechanics & Thermodynamics;Jan2012, Vol. 24 Issue 1, p63 

    We prove the global existence of solutions for a shape-memory alloys constitutive model at finite strains. The model has been presented in Evangelista et al. (Int J Numer Methods Eng 81(6):761-785, ) and corresponds to a suitable finite-strain version of the celebrated Souza-Auricchio model for...

  • Analytical prediction of the phase transformation onset zone at a crack tip of a shape memory alloy exhibiting asymmetry between tension and compression. Lexcellent, C.; Laydi, M.; Taillebot, V. // International Journal of Fracture;May2011, Vol. 169 Issue 1, p1 

    Shape Memory Alloys (SMAs) such as NiTi exhibit stress induced martensitic phase transformation. The purpose of this paper is to provide a better understanding of SMA (such as NiTi) fracture behavior, by considering the vicinity of the crack tip where the transformation occurs. This analysis...

  • Analysis of Variant Orientation Before and After Compression in Polycrystalline Ni50Mn29Ga21 MSMA. Hürrich, C.; Wendrock, H.; Pötschke, M.; Gaitzsch, U.; Roth, S.; Rellinghaus, B.; Schultz, L. // Journal of Materials Engineering & Performance;Oct2009, Vol. 18 Issue 5/6, p554 

    This paper deals with the microstructure and plastic deformation of Ni50Mn29Ga21 ferromagnetic shape memory alloys. In contrast to conventional shape memory alloys, plastic deformation in the martensitic phase, which is due to twin boundary motion, may be caused not only by mechanical stress but...

  • A mode I fracture analysis of a center-cracked infinite shape memory alloy plate under plane stress. Baxevanis, Theocharis; Lagoudas, Dimitris // International Journal of Fracture;Jun2012, Vol. 175 Issue 2, p151 

    The problem of a center plane crack in an infinite, thin, pseudoelastic Shape Memory Alloy (SMA) plate subjected to an in-plane uniform tensile stress at infinity is analyzed. The analysis follows closely the Dugdale-Barenblatt model developed for conventional metals. It is found for low remote...

  • A phenomenological constitutive model for the pseudoelastic behavior of shape memory alloys. Ho, Kwangsoo // Journal of Mechanical Science & Technology;Mar2014, Vol. 28 Issue 3, p979 

    Shape memory alloys (SMAs) possess the distinctive ability to recover large mechanically-induced inelastic strains upon unloading, which is known as the pseudoelastic behavior. This paper deals with an extension of the phenomenological viscoplasticity theory, which has been developed by the...

  • Temperature Variation in NiTi Shape Memory Alloy During Cyclic Phase Transition. Yin, Hao; Sun, Qingping // Journal of Materials Engineering & Performance;Dec2012, Vol. 21 Issue 12, p2505 

    Superelastic NiTi shape memory alloy (SMA) has high recoverable strain and outstanding damping capacity, and has been used as a damping material for many applications. When subjected to displacement-controlled cyclic deformation, the material exhibits distinctive temperature and stress...

  • A New Approach to the Design of Helical ShapeMemory Alloy Spring Actuators. Khan, Esuff; Srinivasan, Sivakumar M. // Smart Materials Research;2011, p1 

    Shape memory alloys (SMAs) are smart materials that have the ability to recover their original shape by eliminating residual deformations, when subjected to adequate temperature rise (Shape memory effect). This special behavior attracts the use of SMAs as efficient stroke/force actuators. Most...

  • An energetic formulation of a one-dimensional model of superelastic SMA. Pham, Kim // Continuum Mechanics & Thermodynamics;Nov2014, Vol. 26 Issue 6, p833 

    This paper presents an energetic framework for the study of the macroscopic evolution of shape memory alloys (SMA) with softening behavior. It is written for a class of standard rate-independent materials with an internal variable derived from the Drucker-Ilyushin work property. This...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics