Transformation-Induced Plasticity (TRIP)

Abstract

This review article attempts to explain TRIP generally and its appearance in different materials. Continuum mechanics formulations are mainly used to explain this phase change phenomenon. An overview is given of the published literature which is often not very easily accessible. Technological aspects are presented, such as constitutive equations of materials showing TRIP. Aspects of material selection and future material design are also treated. This article contains 315 references.

Phenomenological modeling of shape memory effect using the concept of orientational back stress

“…The thermoelastic part of rate of deformation tensor D BT can be additionally split into two parts: the part due to volumetric thermal expansion with the corresponding tensor of thermoelastic expansion coefficients Ho as in standard thermoelasticity, e.g., in isotropic case we have Ho = -01 where (3 is the coefficient of volumetric temperature expansion, and the part due to pseudoelasticity with the tensor Hi characterizing thermal softening effects (4) where Tr() is the trace operator, Dev(-) designates a deviatoric part of the operator, K{$) and G(9) are temperature dependent bulk and shear moduli, respectively. Even with this two simple types of constitutive relationship various reversible thermoelastic and pseudoelastic phenomena can be described [8][9][10][11].…”

“…By employing the volume fraction of martensite as an internal variable, the transformation kinetics is given as an evolution equation of the internal variables. The evolution equation for the product phase £ = V 2 / V is postulated as (5) which is a generalization of a standard ID-evolution equations as described in [1] and [4]. One among possible generalizations is to consider a material time derivative of an effective-equivalent stress a as a substitute for uni-axial stress in original ID equations.…”

“…For example, we can use one of the simplest relations describing the kinetics of transformation the so-called the Koistinen-Marburger and the Magee-type of kinetics (6) where &.<j> CH {Q) represents the chemical driving force as a difference between the specific chemical energy in both phases, E* is the transformation strain, 8 M s the martensite start temperature, fco is the material constant, and po material density referring to the reference configuration. Further details of the transformation kinetics together with a comprehensive discussion of its implications in transformation induced plasticity can be found in [3] , [4] and [6]. As a result, the equation (6) which is an extended three-dimensional version of the Koistinen-Marburger and the Magee-type kinetics leads to the postulated form of phase kinetics evolution law (5) with According to the theory of a single variant transformation, the tensor of crystallographic distortion F is defined by the transformation dx( 2 ) = F • d*(i) that defines the relationship between the parent phase (i) and the product phase (2).…”

Phase-field simulation of lenticular martensite and inheritance of the accommodation dislocations

“…The plastic deformation process due to the formation of preferred variants under small stresses is often denominated as "Magee" effect. Both processes belong to the transformation-induced plasticity (TRIP) phenomenon and can occur simultaneously [1,2]. The phenomena of TRIP is utilized in many hight temperature deformation processes to obtain an optimal combination of strength and ductility of steels and ceramics.…”

Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys

“…Many constitutive models for transformation in shape memory alloys have been published [2,9]. Transformation thermomechanical theory, crystallographic theory of martensitic transformation and/or micromechanics approach have been applied to develop some of these models [10][11][12][13].…”