This book describes behavior of crystalline solids primarily via methods of modern
continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, ie, finite …

The author applies methods of nonlinear elasticity to investigate the defects in the crystal
structure of solids such as dislocations and disclinations that characterize the plastic and …

Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

In this paper, we revisit the mathematical foundations of nonlinear viscoelasticity. We study
the underlying geometry of viscoelastic deformations, and in particular, the intermediate …

The paper continues the discussion of continuum theory of dislocations suggested by
Berdichevsky and Sedov (PMM 31 (6): 981–1000, 1967). The major new points are: the …

Due to its superior modelling capabilities, there is an increasing interest in distortion
gradient plasticity theory, where the role of the plastic spin is accounted for in the free energy …

The present paper extends the thermodynamic dislocation theory developed by Langer,
Bouchbinder, and Lookman to non-uniform plastic deformations. The free energy density as …

The thermodynamic theory of dislocation/grain boundary interaction, including dislocation
pileup against, absorption by, and transfer through the grain boundary, is developed for non …

The present paper provides the definition of resultant Burgers' vector and the related
dislocation density tensor in terms of the plastic deformation, regarded as that creating …

Within continuum dislocation theory the plastic deformation of bicrystals under a mixed
deformation of plane constrained uniaxial extension and shear is investigated with regard to …