Temperature stress for bending beam with different moduli under different constraints

Abstract

Purpose

The purpose of this paper is to solve temperature stress for bending beam with different moduli under different constraints subject to nonlinear temperature.

Design/methodology/approach

The equations of neutral axis position, normal stress, and displacement of bending beam with different moduli subjected to nonlinear temperature were derived based on different moduli elasticity theory. Meanwhile, iterative procedure was programmed to solve the nonlinear equations. The analytical solution can return back into the result of the same modulus theory, and the analytical solution was compared with finite element numerical solution. It shows that the analytical model proposed in this paper is reliable to use. Furthermore, the influence of different moduli characteristics on the temperature stress and deformation is discussed.

Findings

The mechanical behavior of the bending beam with different moduli subject to nonlinear temperature is quite different from the one that is subjected to force. The bending beam maybe exist two neutral axis, and the reasonable selection of tension modulus and compression modulus can improve the distribution of the normal stress and reduce the maximum tensile stress or the maximum compressive stress.

Originality/value

The crack produced by temperature stress will affect the integrity and the durability of the structure. The solution for temperature problem with different moduli theory is rarely reported at home and board. In view of this, this paper will do some exploratory research-temperature stress for bending beam with different moduli.

Citation

Yao, W. and Liu, J. (2014), "Temperature stress for bending beam with different moduli under different constraints", Multidiscipline Modeling in Materials and Structures, Vol. 10 No. 2, pp. 163-175. https://doi.org/10.1108/MMMS-03-2013-0018