Influence of heat sensitivity of layer material on stressed and deformed state of multilayer shells and plates

Abstract

Composite polymeric materials are widely used in modern technology. They are characterized by anisotropy of properties and a significant dependence of their thermomechanical characteristics on temperature. For multilayer shells, combining in a single package such heterogeneous materials as metals, foams, fiberglass, is characterized by, in addition, low shear stiffness. When developing a method for calculating thin-walled layered structures under thermal force, these features can be taken into account by using a finite-shear model of shell theory in the assumption of an arbitrary law of change of thermomechanical characteristics from temperature. Within the framework of the unbound quasi-static theory of thermoelasticity, a multilayer orthotropic shell of rotation which is under the influence of temperature and static loading is considered. The purpose of this article is to clarify the distribution functions of the transverse tangential stresses, taking into account the dependence of the physical-mechanical and thermo-physical properties of the material of the layers on the temperature, the values ​​of which are set or calculated. It is established that to calculate the stress-strain state of thick shells with significant shear flexibility of the package and in the presence of intensive heat dissipation from the end surfaces, a quadratic temperature approximation within each layer should be used. For shells of medium thickness and thin, as well as thick but homogeneous, the calculation can be done with a piecewise linear law of temperature distribution. Next, the functions of distribution of transverse tangential stresses are obtained, which allow to build a more accurate model of the stress-strain state of multilayer shells.