A three-dimensional description of shape memory alloy thermomechanical behavior including plasticity

Abstract

This paper introduces a novel three-dimensional constitutive model that describes the thermomechanical behavior of shape memory alloys (SMAs). The model is developed within the framework of continuum mechanics and the standard generalized materials. Four macrocospic phases are considered associated with austenite and three variants of martensite. Phase transformations can be induced by temperature, volumetric and deviatoric strains. The description of plasticity is also of concern assuming kinematic and isotropic hardening. Numerical simulations are carried out showing that the proposed model is able to capture the general thermomechanical behavior of SMAs for uniaxial and multiaxial tests, even in situations with complex thermomechanical loading paths.

Phenomenological modeling of the thermo-magneto-mechanical behavior of magnetic shape memory alloys

“…A macroscopic constitutive theory is developed to describe the thermo-magneto-mechanical behavior of MSMAs. This novel model is based on the previous contribution of Paiva et al (2005) and Oliveira et al (2016) for classic SMAs. The new model incorporates magnetic effects being able to describe the magnetic field-induced phase transformation and magnetic field-induced martensitic variant reorientation under different loading conditions.…”

“…This article presents a novel constitutive model for MSMAs based on the model developed for classical SMAs proposed by Paiva et al (2005) and Oliveira et al (2016). Basically, it considers four macroscopic phases representing the austenitic phase and three variants of martensite, presenting internal constraints to define phase transformations.…”

“…Motivated by this, this article deals with a novel constitutive model based on internal variables that describe the general thermo-magneto-mechanical characteristics of the MSMA phenomenological behavior. The theory is inspired on an SMA model proposed by Paiva et al (2005) and Oliveira et al (2016) allowing the description of the thermo-magneto-mechanical behavior of MSMA in a flexible way. Numerical simulations are carried out establishing a comparison with experimental data available in the literature.…”

Nonlinear dynamics of earthquake-resistant structures using shape memory alloy composites

“…Lagoudas (2008) and Paiva and Savi (2006) performed a general overview of some phenomenological possibilities. Considering more recent alternatives, it is interesting to cite Oliveira et al (2016, 2018) and Cisse et al (2016). Ghodke and Jangid (2016) proposed a simplified method to compute equivalent linear stiffness and damping of SMAs.…”

A theoretical study on asymmetric bending for functionally graded shape memory alloy beam

“…Moreover, there is no stress concentration when two materials are combined, which makes FG-SMA with a promising application prospect. Therefore, the nonlinear mechanical behavior analysis of FG-SMA material is of great significance [5][6][7].…”