TRANSFORMATION-INDUCED PLASTICITY REVISED AN UPDATED FORMULATION

Citation
Fd. Fischer et al., TRANSFORMATION-INDUCED PLASTICITY REVISED AN UPDATED FORMULATION, International journal of solids and structures, 35(18), 1998, pp. 2209-2227
Citations number
45
Categorie Soggetti
Mechanics
ISSN journal
00207683
Volume
35
Issue
18
Year of publication
1998
Pages
2209 - 2227
Database
ISI
SICI code
0020-7683(1998)35:18<2209:TPRAUF>2.0.ZU;2-O
Abstract
An externally stressed specimen in the process of a phase transformati on may show a significant nonlinear behavior which is known as transfo rmation-induced plasticity (TRIP). The TRIP-strain can be irreversible as in the case of steels, or reversible with a certain hysteresis as in the case of shape memory alloys. The basic mechanisms contributing to this nonlinear phenomena are the accommodation process of the trans formation strain and the orientation process of the transforming micro regions. TRIP strain formulations carried out so far do not meet both effects. A thermodynamical concept is presented in this paper to find a TRIP strain rate which takes into account the coupling of phase tran sformation and microplasticity. The start and progress of the transfor mation condition, during which the plastic behavior governs the transf ormation/plastic processes, are derived by solving a conditional extre mum problem, composed of the dissipation inequality and the constraint conditions: the transformation condition and the yield condition. The thermomechanical and calorimetric constitutive equations are derived in rate form when the transformation and the plastic processes are ful ly coupled. Some illustrative examples are discussed by assuming a con crete form of the Gibbs free energy and the transformation/yield condi tions. The cross-coupling effect of the transformation and plasticity is well understood in the TRIP strain rate and the transformation kine tics. (C) 1998 Elsevier Science Ltd. All rights reserved.