Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. Part II
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Cited by (43)
Phase transformations, fracture, and other structural changes in inelastic materials
2021, International Journal of PlasticityCitation Excerpt :We consider a spherical nucleus of the radius r of a product phase within an infinite elastoplastic sphere without strain hardening under action of the external pressure p. Such a problem was considered from a thermodynamic point of view using different criteria in several papers, see (Fischer et al., 1994; Fischer and Oberaigner, 2000, 2001; Kaganova and Roitburd, 1987; Levitas, 1997b; Roitburd and Temkin, 1986). To illustrate our thermodynamic approach presented in Box 3 in the simplest way, we will follow (Levitas, 1997b), where this solution was, in particular, applied to PT from graphite to diamond and to PT in steel.
A thermo-mechanically coupled finite strain model for phase-transitioning austenitic steels in ambient to cryogenic temperature range
2019, Journal of the Mechanics and Physics of SolidsCitation Excerpt :Levitas et al. (1998) developed a continuum thermo-mechanical model for martensitic phase transformation in TRIP steels and presented a numerical solution of shear-band intersection based martensitic phase transformation. The model was based on multiplicative decomposition of the total deformation gradient into elastic, plastic and transformation parts, and generalized Prandtl-Reuss equations (Levitas, 1997a; 1997b; 1998). Garion and Skoczen (2002) developed a small-strain, homogenization-based constitutive model for austenite-martensite transformation in 316L steel at cryogenic temperatures.
Phase-field modeling of austenite grain size effect on martensitic transformation in stainless steels
2018, Computational Materials SciencePlastic flows and strain-induced alpha to omega phase transformation in zirconium during compression in a diamond anvil cell: Finite element simulations
2017, Materials Science and Engineering: APolymorphism of iron at high pressure: A 3D phase-field model for displacive transitions with finite elastoplastic deformations
2016, Journal of the Mechanics and Physics of SolidsTailoring the Bain strain of martensitic transformations in Ti-Nb alloys by controlling the Nb content
2016, International Journal of PlasticityCitation Excerpt :This formula holds regardless of the aspect ratio of the inclusion and, therefore, applies to a prolate (needle or cigar) geometry in the same manner as to an oblate (disc or plate) geometry (Shibata and Ono, 1978). Using εhyd = εvol/3, G = E/[2(1 + v)] and taking into account the absence of external pressure Eq. (16) is identical to Eq. (9) in Levitas (1997). By the same argument as discussed for the calculation of the hydrostatic pressure generated due to the volume expansion during martensite formation (Eq. (15)), the strain energy density in Eq. (16) represents an upper limit, whenever G and v of a martensitic phase are used to evaluate W.