Mathematical modeling of thermomechanical fields in shell structures subjected to thermal influence

Abstract

This paper investigates thermomechanical processes in shell structures subjected to thermal influence and their effect on the stress-strain state of materials. A mathemati-cal model of thermoelastic deformation is proposed, where the nonlinear problem is solved by the method of successive approximations and reduced to a sequence of lin-ear parabolic equations. The developed approach allows the analysis of thermal stresses and the determination of optimal thermal loading parameters to improve the reliability of shell structures.