Olha Hrytsyna

• Slovak Academy of Sciences

A technique for analyzing two-dimensional thermal fields in hollow cylinders is presented when the cylinders are assembled of a number of perfectly connected coaxial layers made of dissimilar materials exhibiting arbitrarily continuous radial variation of their thermophysical properties. Making use of the direct integration method allows for reduci...

A non-classical local gradient theory of nonferromagnetic thermoelastic dielectrics is presented, incorporating both the local mass-displacement process and the heat-flux gradient effect. The process of local mass displacement is related to the changes in material microstructure. The nonlocal heat conduction law is also addressed in the model. Thus...

A higher-grade theory of non-ferromagnetic thermo-elastic dielectrics which incorporates the local mass displacement, the heat flux gradient, polarization inertia, and flexodynamic effects is developed. The process of local mass displacement is associated with changes in material microstructure. Using the fundamental principles of continuum mechani...

We present a brief survey of nonclassical linear theories of continuum mechanics. Thus, we give a concise characterization of the Eringen–Edelen nonlocal theory of elasticity, theories of polar and micropolar media, Toupin couple-stress theory of elasticity, Eringen–Suhubi–Mindlin micromorphic theory, Mindlin gradient theory of elasticity, and also...

The modified strain gradient theory (MSGT) with flexoelectric and micro-inertia effects is developed to study the free vibration of tube made of elastic centrosymmetric materials. Within this theory, the internal energy density is the function of the strain tensor, deviatoric part of stretch gradient and rotation gradient tensors, dilatation gradie...

The higher-grade theory with flexomagneticity and micro-inertia effects is used to provide a theoretical framework for studying the propagation of Love wave along the free surface of semi-infinite piezoelectric substrate covered with a nano-thin guiding flexomagnetic layer. The phase velocity of Love wave is calculated for the magneto-electrically...

A local gradient theory for non-ferromagnetic thermoelastic dielectrics is used to study the effect of near-surface inhomogeneity on the coupled fields in nano-size piezoelectric solids subjected to the thermal and electric loading. In this theory, the local mass displacement is linked to the microstructure ordering of the material including atomic...

A gradient-type theory with flexomagnetic/flexoelectric and micro-inertia effects is used to study Love wave propagation in the layered magneto-electro-elastic structures. Two waveguide structures are considered: flexo-piezoelectric layer deposited on the piezomagnetic half-space and flexo-piezomagnetic layer resting on the piezoelectric half-space...

The non-classical linear governing equations of strain gradient piezoelectricity with micro-inertia effect are used to investigate Love wave propagation in a layered piezoelectric structure. The influence of flexoelectricity and micro-inertia effect on the phase wave velocity in a thin homogeneous flexoelectric layer deposited on a piezoelectric su...

The relations of a local gradient non-ferromagnetic electroelastic continuum are used to solve the problem of an axisymmetrical loaded hollow cylinder. Analytical solutions are obtained for tetragonal piezoelectric materials of point group 4 mm for two cases of external loads applied to the body surfaces. Namely, the hollow pressurized cylinder and...

The objective of the paper is to model the size-dependent mechanical behaviors of elastic and electroelastic micro-/nanosize beams. To this end, the relations of local gradient theory of polarized continua are utilized. This higher-grade theory is based on taking account of non-diffusive and non-convective mass flux related to the changes in the ma...

The classical theory is incapable of explaining the size-dependent behavior of small-scale structures. This theory also fails to describe a linear response of electric polarization to the temperature gradient. The mentioned effects can be explained by the local gradient theory of electrothermoelasticity that alongside the mechanical, thermal, and e...

The size-dependent behaviour of a Bernoulli–Euler nanobeam based on the local gradient theory of dielectrics is investigated. By using the variational principle, the linear stationary governing equations of the local gradient beam model and corresponding boundary conditions are derived. In this set of equations the coupling between the strain, the...

The classical theory of elasticity does not describe the experimentally observed phenomenon of change in the mechanical characteristics of the material in micro/nano-scale structures. In the present paper, it is shown that a local gradient theory of elasticity describes the size effect of the shear modulus in thin strips. The mentioned theory is ba...

A complete set of equations of the gradient-type theory for thermoelastic non-ferromagnetic polarized solids is obtained using the methods of continuum mechanics, electrodynamics, and non-equilibrium thermodynamics. The theory takes into consideration the polarization electric current and the mass flux of non-diffusive and non-convective nature ass...

The concept of local mass displacements (as a measure of nonlocality of the state of a physically small element of a body) is used to formulate a complete system of relations of the gradient-type mathematical model of viscous compressible fluid. In this model, the relationship between the thermomechanical processes and the process of local mass dis...

By using the concept of the local displacements of mass as a measure of the gradient character of mechanical fields, we propose the relations of nonlocal electrothermoelasticity of nonferromagnetic dielectric solids. The theory takes into account the tensor nature of the local displacements of masses. By using the relations of this theory, we deduc...

Using the fundamental principles of thermodynamics of irreversible processes and continuum mechan-ics and electrodynamics, a complete set of equations of the thermomechanics of an electroconducting polarized medium has been obtained by taking into account the local displacements of mass and electric charge. To determine the thermodynamic state, two...