Chemical affinity tensor and chemical reaction front propagation: theory and FE-simulations
AB Freidin, IK Korolev, SP Aleshchenko… - International journal of …, 2016 - Springer
We develop an approach to studying the influence of stresses and strains on the kinetics of
chemical reaction fronts based on the expression of the chemical affinity tensor that …
chemical reaction fronts based on the expression of the chemical affinity tensor that …
The stability of the equilibrium of two-phase elastic solids
The distinctive features of the loss of stability of elastic solids which undergo phase
transitions are investigated for the case of small deformations. The non-uniqueness of the …
transitions are investigated for the case of small deformations. The non-uniqueness of the …
Characterization and stability of two–phase piecewise–homogeneous deformations
Many solid materials exhibit stress–induced phase transformations. Such phenomena can
be modelled with the aid of the nonlinear elasticity theory with appropriate choices of the …
be modelled with the aid of the nonlinear elasticity theory with appropriate choices of the …
Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies
Interfaces in martensitic transformations can be treated as strain-discontinuity surfaces,
where, in addition to the ordinary kinematic and force conditions, an additional …
where, in addition to the ordinary kinematic and force conditions, an additional …
Multi-laminate plastic-strain organization for non-uniform TFA modeling of poly-crystal regularized plastic flow
P Franciosi, S Berbenni - International Journal of Plasticity, 2008 - Elsevier
A recently presented single plastic-potential, microstructure-based model of poly-crystal
plasticity by the authors considers a globally regularized Schmid law (RSL) as the slip flow …
plasticity by the authors considers a globally regularized Schmid law (RSL) as the slip flow …
On new phase inclusions in elastic solids
AB Freidin - ZAMM‐Journal of Applied Mathematics and …, 2007 - Wiley Online Library
Two‐phase deformation of an elastic body is studied by a small strain approach. Phase
transformations of martensite type are implied. An arbitrary anisotropy of the phases and …
transformations of martensite type are implied. An arbitrary anisotropy of the phases and …
[HTML][HTML] Continuum-mechanical modelling of kink-band formation in fibre-reinforced composites
YB Fu, YT Zhang - International Journal of Solids and Structures, 2006 - Elsevier
A kink is a singular surface across which the displacement is continuous but the deformation
gradient and the fibre direction suffer a discontinuity. A kink band is a highly deformed or …
gradient and the fibre direction suffer a discontinuity. A kink band is a highly deformed or …
Roughening instability of broken extremals
We derive a new general jump condition on a broken Weierstrass–Erdmann extremal of a
vectorial variational problem. Such extremals, containing surfaces of gradient discontinuity …
vectorial variational problem. Such extremals, containing surfaces of gradient discontinuity …
On a model of heterogenous deformation of elastic bodies by the mechanism of multiple appearance of new phase layers
A model describing a possible scenario of martensite type phase transformations is
examined. A new phase is supposed to nucleate in the form of plane parallel layers. As the …
examined. A new phase is supposed to nucleate in the form of plane parallel layers. As the …
Forbidden strains and stresses in mechanochemistry of chemical reaction fronts
AB Freidin, LL Sharipova - … Models and Non-classical Approaches in …, 2018 - Springer
The influence of stresses and strains on a chemical reaction rate and a chemical reaction
front velocity is studied basing on the concept of the chemical affinity tensor. The notion of …
front velocity is studied basing on the concept of the chemical affinity tensor. The notion of …