The problem of thermoelasticity for transversely isotropic plates acted upon by concentrated heat sources is solved. The {1, 2}-order equations of thermoelasticity that incorporate the transverse shear and normal stresses are used. A bending heat source with symmetric heat transfer is considered. The dependence of thermal stress components on the thermal and thermomechanical parameters of transversely isotropic plates is studied Introduction. Fundamental solutions play a determining role in solving various boundary-value problems in the mechanics of thin-walled members, including those under concentrated and local loads, including local thermal loads.The thermoelastic state of thin-walled members subject to concentrated thermal loads has been studied since the mid 20th century [6,7]. Two models of concentrated thermal loading of thin-walled members were proposed: concentrated heating [5,12] and concentrated heat source [1, 6, 13]. These models assume an arbitrary distribution of temperature (first model) or volume heat sources (second model) along one coordinate line across the thickness. The intersection point of this coordinate line with the mid-surface is where a concentrated thermal load is applied. In the case of the first model, these are integral characteristics of temperature different from their constant values in the whole domain. In the case of the second model, they are integral heat sources responsible for the nonuniform temperature distribution in the localization of the concentrated thermal load.The arbitrary distribution f z ( )of temperature (first model) or volume heat sources (second model) across the thickness can be represented as the sum of even and odd functions. The even component is responsible for a thermoelastic membrane state [9] of the plate with symmetric heat transfer (the heat transfer coefficients on the faces of the plate are equal). Such a thermal load is called a plane one [5,16]. The odd component of f z ( ) is responsible for a thermoelastic bending state [9] of the plate with symmetric heat transfer. Such a thermal load is called a bending one [5,16].The model of concentrated heat source is more adequate since it includes the heat-conduction equations. The first model, however, is more reliable when the source strength (energy per unit time) is unknown. In this case, it is sufficient to know the temperature in the loaded area and its distribution throughout the thickness.So far, the thermoelastic state of anisotropic plates and shells under concentrated thermal loads has been analyzed within the framework of the classical theory [2,13,15,17]. The classical theory neglects transverse shear and reduction. Therefore, refined theories are relevant when it comes to modern composite materials with low shear stiffness.We will solve the thermoelastic problem for a transversely isotropic plate with a concentrated heat source using the {1, 2}-order equations of thermoelasticity [9] that allow for all the components of the stress tensor. We will examine the effect of thermal and thermo...

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Using the Fourier integral method we have solved the heat conduction problem for an orthotropic shell of arbitrary Gaussian curvature with a system of thermally insulated cuts. In the process we have taken account of heat ezchange on the lateral surfaces of the shells.We have studied the influence of the anistropy properties of the material on the distribution of the perturbed temperature field. Using the ezample of a system consisting of two cuts we have studied the dependence of jumps in the integral characteristics of the temperature on the relative locations of the cuts. 2 Figures. Bibliography: 7 titles.

tsev UDC 539.3The thermoelastic bending of locally heated orthotropic shells is studied using the classical theory of thermoelasticity of thin shallow orthotropic shells and the method of fundamental solutions. Linear distribution of temperature over thickness and the Newton's law of cooling are assumed. Numerical analysis is carried out for orthotropic shells of arbitrary Gaussian curvature made of a strongly anisotropic material. The behavior of thermal forces and moments near the zone of local heating is studied for two areas of thermal effect: along a coordinate axis and along a circle of unit radius. Generalized conclusions are drawn