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Mathematical Modeling and Polarimetry of the Thermal Stressed State of a Partially Transparent Solid Subjected to the Action of Thermal Radiation
By using the method of modulation polarimetry and the developed model of thermomechanics of partially transparent solids, we study the kinetics and...
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Principle of virtual action in continuum mechanics
We present the principle of virtual action as a foundation of continuum mechanics. Used mainly in relativity, the method has a useful application in...
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Thermal Stressed State of a Half Space with Heat Generation in a Spherical Domain
We construct Boussinesq functions of the stationary problems of thermoelasticity for half spaces with free rigidly, smoothly, or flexibly fixed...
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Axisymmetric Thermoelastic Deformation of a Multilayer Foundation with Imperfect Thermal Contact of the Layers
An axisymmetric stationary problem of thermoelasticity for a multilayer foundation with imperfect thermal contact between the layers is solved by the...
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Generalized Model Representation of the Thermal Shock Theory
AbstractThis article considers the open problem of the thermal shock theory in terms of a generalized model of dynamic thermoelasticity under...
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Thermal Stressed State of a Bimaterial with Interface Crack Filled with a Compressible Liquid
We formulate the problem of thermoelasticity for a bimaterial with interface crack filled with a liquid with regard for the pressure and heat...
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Mathematical Problems of Thermomechanics for Deformable Bodies Subjected to Thermal Irradiation
We propose a survey of the results of investigations in the field of mathematical problems of thermomechanics of magnetizable and polarizable...
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Thermal State of a Thermosensitive Tribosystem under Complex Heat Exchange
We extend the numerical-analytic approach approved for the problems of heat conduction for thermosensitive bodies, which are in perfect contact, to...
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Methodology of Investigations of the Thermal Stressed State of Bodies with Thin Multilayer Coatings
We present a methodology for the efficient determination and investigation of the thermal stressed state of bodies with thin multilayer coatings...
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The action mechanism of the work done by the electric field force on moving charges to stimulate the emergence of carrier generation/recombination in a PN junction
It is discovered that the product of the current and the electric field in a PN junction should be regarded as the rate of work (power) done by the...
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Quasistatic Thermoelastic State of a Layered Functionally Graded Cylinder with Regard for Thermal Radiation
We propose a methodology aimed at determining the quasistatic thermoelastic state of layered cylinders with functionally graded components with...
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Mathematical Modeling of Heat Transfer in a Plate During Plasma Spraying of Thermal Protection on It
AbstractThe article considers non-stationary heat transfer in a plate under conditions of high-temperature aerosol spraying during the formation of...
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Differential Invariants of the Magnetohydrodynamics Under an Action of the Motion Group
AbstractThe thermodynamics of a conductive liquid is considered. The latter is described within the framework of contact geometry. The state and...
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Stationary Temperature Field Ensuring the Absence of Thermal Stresses in an Inhomogeneous Rectangular Beam
We consider the inverse problem of thermoelasticity for a long inhomogeneous rectangular beam under the conditions of constant axial strains in the...
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Nonstationary Axisymmetric Temperature Field of an Unbounded Cylinder with Thermal Characteristics Variable over Thickness
We propose a method for the determination of nonstationary axisymmetric temperature fields in an unbounded cylinder (inhomogeneous over the...
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Two-Dimensional Problem of Thermoelasticity for a Half Space with Free, Rigidly, Smoothly, or Flexibly Fastened Boundary Subjected to the Action of Heat Sources
Under the action of a stationary heat source, we construct the Boussinesq functions of the problem of thermoelasticity under the conditions of plane...
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Asymptotic Stability of Equilibrium States with Variable Temperature Gradient to the Boussinesq System Without Thermal Conduction
We study the asymptotic stability of equilibrium states with positive (and variable) temperature gradient to the Boussinesq system without thermal...
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Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model
This work involves theoretical and numerical analysis of the thermal quasi-geostrophic (TQG) model of submesoscale geophysical fluid dynamics (GFD)....
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Multi-objective topology optimization design of thermal-mechanical coupling structure based on FPTO method
The coupling problem between the structural field and temperature field is widely encountered in engineering applications and holds significant...
