A review of constitutive models and modeling techniques for shape memory alloys

C Cisse, W Zaki, TB Zineb - International Journal of Plasticity, 2016 - Elsevier
Constitutive models for shape memory alloys have seen significant development in the last
decades. They have evolved from uniaxial, mostly empirical, relations to full-fledged …

Deformation physics of shape memory alloys–fundamentals at atomistic frontier

P Chowdhury, H Sehitoglu - Progress in Materials Science, 2017 - Elsevier
Application spectrum of shape memory alloys (SMA) is expanding rapidly and
proportionately so is the engineering demand for superior materials. An essential …

Phase transformations, fracture, and other structural changes in inelastic materials

VI Levitas - International Journal of Plasticity, 2021 - Elsevier
Review of selected fundamental topics on the interaction between phase transformations,
fracture, and other structural changes in inelastic materials is presented. It mostly focuses on …

A review on phase field modeling of martensitic phase transformation

M Mamivand, MA Zaeem, H El Kadiri - Computational Materials Science, 2013 - Elsevier
In the last few decades, the phase field method has shown tremendous capabilities of
predicting microstructure evolutions at the mesoscale scale. This method was widely used …

A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity

F Auricchio, A Reali, U Stefanelli - International Journal of plasticity, 2007 - Elsevier
The employment of shape memory alloys (SMA) in a large number of applications in the
fields of aeronautical, biomedical, and structural engineering has been the motivation for an …

Phase field modeling of the tetragonal-to-monoclinic phase transformation in zirconia

M Mamivand, MA Zaeem, H El Kadiri, LQ Chen - Acta Materialia, 2013 - Elsevier
The allotropic phase transformation in zirconia from the tetragonal to monoclinic double
lattices is known to occur by a martensitic twinning mechanism which shows a complex …

A phase field model of deformation twinning: nonlinear theory and numerical simulations

JD Clayton, J Knap - Physica D: Nonlinear Phenomena, 2011 - Elsevier
A continuum phase field theory and corresponding numerical solution methods are
developed to describe deformation twinning in crystalline solids. An order parameter is …

Phase field simulation on the grain size dependent super-elasticity and shape memory effect of nanocrystalline NiTi shape memory alloys

B Xu, G Kang, C Yu, Q Kan - International Journal of Engineering Science, 2020 - Elsevier
Abstract Based on the Ginzburg-Landau's theory, the free energy function of polycrystalline
system was modified by introducing an extra grain boundary energy, and a new two …

Phase field simulation on the super-elasticity, elastocaloric and shape memory effect of geometrically graded nano-polycrystalline NiTi shape memory alloys

B Xu, G Kang - International Journal of Mechanical Sciences, 2021 - Elsevier
ABSTRACT A two-dimensional non-isothermal phase field model considering multiple
martensite variants which can describe the thermo-mechanical deformation of …

Multiphase phase field theory for temperature-and stress-induced phase transformations

VI Levitas, AM Roy - Physical Review B, 2015 - APS
Thermodynamic Ginzburg-Landau potential for temperature-and stress-induced phase
transformations (PTs) between n phases is developed. It describes each of the PTs with a …