Three-dimensional model for solids undergoing stress-induced phase transformations

Souza, Angela C.; Mamiya, E.N.; Zouain, Néstor

doi:10.1016/s0997-7538(98)80005-3

Cited by 256 publications

(236 citation statements)

References 27 publications

Supporting

Mentioning

232

Contrasting

Order By: Relevance

“…The fully coupled thermomechanical equations of the monolithic SMA material were presented by Auricchio and Petrini [2002;2004b;2004a], who extended and improved the thermodynamical model of Souza et al [1998]. These equations are briefly presented below.…”

Section: Two-way Tmc Constitutive Equations Of the Monolithic Smamentioning

confidence: 99%

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

Aboudi

Freed

2006

JOMMS

View full text Add to dashboard Cite

A previously established micromechanical model whose capability to analyze and predict the behavior of thermoinelastic fibrous composites with one-way thermomechanical coupling, in which the temperature is prescribed in advance, was verified. This model is extended herein to incorporate two-way thermomechanical coupling effects in thermoinelastic composites. As a result of this generalization, the temperature which is coupled to the mechanical effects, is governed by the energy equation and is induced into the composite's constituents as a result of the application of mechanical loadings. The model is applied to predict the behavior of composites that consist of shape memory alloy fibers embedded in metallic and polymeric matrices. Results exhibit the response of the composites to various types of loading, and the effect of the two-way thermomechanical coupling that induces temperature deviations from reference temperatures at which shape memory and pseudoelasticity effects take place at the fibers.

show abstract

Section: Two-way Tmc Constitutive Equations Of the Monolithic Smamentioning

confidence: 99%

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

Aboudi

Freed

2006

JOMMS

View full text Add to dashboard Cite

show abstract

“…As compared with the model proposed in [13,14] and taken as a basis for the development of this new one, it is capable of including also permanent inelasticity, which can be described both with a saturating or a non-saturating evolution; degradation effects can be included as well. The good behaviour of the model has been proved by means of a number of numerical tests.…”

Section: Discussionmentioning

confidence: 99%

“…[3][4][5][6][7][8][9][10][11][12]). Among them, the one proposed in [13] and improved in [14] seems to be very attractive for its potential. However, as in many other models present in the literature, residual inelastic strain effects are not included, while experimental results as the ones shown in Figure 1 (cf.…”

Section: Introductionmentioning

confidence: 99%

A Phenomenological One-Dimensional Model Describing Stress-Induced Solid Phase Transformation with Permanent Inelasticity

Auricchio

Reali

2007

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

The use of shape memory alloys for a large number of applications in many fields of engineering has given rise to a great interest of researchers on an exhaustive modeling of their macroscopic behaviour.Most of the models proposed in the literature, however, consider a perfect pseudo-elastic behaviour (i.e. no residual strains), which is experimentally proved to be only an approximation. This paper addresses a new one-dimensional model able to include also permanent inelasticity effects, whose main features are shown by many numerical tests.

show abstract

“…Concerning the modeling of dense SMA material, the model initially proposed by Souza et al [14] and modified first by Auricchio and Petrini [15] and, then, by Evangelista et al [16] is adopted to reproduce the shape memory alloys behavior. In the following discussion, the Voigt notation is adopted, so that second order tensors are represented as vectors and fourth order tensors as matrices.…”

Section: Sma Constitutive Modelmentioning

confidence: 99%

“…where: e  represents the elastic strain energy due to the thermo-elastic material deformations, depending on the total strain ε , on the inelastic strain d and on the absolute temperature T ; p  is the inelastic energy which accounts for all the inelastic phenomena and that is related to the internal variable d and to the absolute temperature T ; id  is defined as the free energy due to the change in temperature with respect to the reference state for an incompressible ideal solid [14,15,16]. In particular, the thermo-elastic potential e  is defined as:…”

mentioning

confidence: 99%

Response of porous SMA: a micromechanical study

Sepe

Marfia

Auricchio

2014

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

ABSTRACT. Lately porous shape memory alloys (SMA) have attracted great interest as low weight materials characterized by high energy dissipation capability. In the present contribution a micromechanical study of porous SMA is proposed, introducing the simplifying hypothesis of periodic distribution of voids. The mechanical response of the heterogeneous porous medium is derived by performing nonlinear finite element micromechanical analyses considering a typical repetitive unit cell made of a circular hole in a dense SMA matrix and prescribing suitable periodicity and continuity conditions. The constitutive behavior and the dissipation energy capability of the porous Nitinol are examined for several porosity levels. Numerical applications are performed in order to test the ability of the proposed procedure to well capture the overall behavior and the key features of the special heterogeneous material.

show abstract

Three-dimensional model for solids undergoing stress-induced phase transformations

Cited by 256 publications

References 27 publications

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

A Phenomenological One-Dimensional Model Describing Stress-Induced Solid Phase Transformation with Permanent Inelasticity

Response of porous SMA: a micromechanical study

Contact Info

Product

Resources

About