We discuss three different ways of defining the strain measures in the non-linear micropolar continuum:(a) by a direct geometric approach,(b) considering the strain measures as the …
This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into …
We discuss the general linear six‐parametric theory of plates based on the direct approach. We consider the plate as a deformable surface. Each material point of the surface can be …
IV Andrianov, J Awrejcewicz… - Mathematical …, 2010 - publications.rwth-aachen.de
In the recent years new classes of ultra-dispersive and nanocrystalline materials 1–3, which require a different modern approach than that of a classical continuous media, have been …
We extend the material symmetry group of the non-linear polar-elastic continuum by taking into account microstructure curvature tensors as well as different transformation properties of …
P Poorsolhjouy, A Misra - Journal of the Mechanics and Physics of Solids, 2019 - Elsevier
Grain rotations are a key component of the grain-scale deformation kinematics of granular materials. For describing the deformation of these materials at large length scales …
AG Bagdoev, VI Erofeyev, AV Shekoyan - 2016 - Springer
Wave processes are observed in any field, where matter moves: in electrodynamics, plasma physics, optics, acoustics, fluid dynamics, complex two-phase media such as “gas-drip …
EA Ivanova - ZAMM‐Journal of Applied Mathematics and …, 2021 - Wiley Online Library
This study continues the line of earlier research in mechanical models of electrodynamic processes suggested in previous works. The basic steps we take to construct these models …
We develop a general nonlinear theory of thermo-electrodynamics. We show that two theories constructed in our previous works, namely the linear theory of thermo …