Use of a combination model to calculate the stress-strain state of three-dimensional structures

Abstract

The use of combination mathematical models is effective in studying the stress-strain state of three-dimensional structures including thin-walled and massive elements and their connections. Aspects of the construction and use of such models were discussed in [4, 8, 9]. These models employ equations of the theory of elasticity to describe the stressstrain state in some parts of a deformed body and the equations of shell theory to describe the state in other parts. Here, we construct a combination model which uses equations of a Timoshenko-type shell theory.