Nonlinear mechanical behavior of graded porous material beam subjected to moisture-heat-mechanics loads

Abstract

The nonlinear mechanical behavior of graded porous material beams under the uniform distributed follower load “ that the load direction was changed with the deformation of structure ” was studied. Considering two kinds of porosity models with symmetrical and asymmetric distribution in gradient porous material beams, it was assumed that the material properties change continuously in thickness, and the one-dimensional temperature field and humidity field only relate to the thickness direction and change linearly. First, the two-point boundary value problem consisting of the governing differential equation and the boundary condition was converted to the initial value problem. The non-linear mechanical behavior of a porous gradient material simply supported beam made of open metal foam material was analyzed by using the shooting method. The equilibrium path and the equilibrium configuration of the two kinds of porous material beams under random load were given under different heterogeneous heating and non-uniform humidity. The influences of porosity coefficient, temperature rise and humidity on the post buckling or bending behavior of beams were discussed. The results show that there are three equilibrium configurations of symmetric porous beams under the same follower load in hot and humid environment. When \begin{document}$ {e_0} > 0.48 $\end{document}, the bending configuration increases monotonically with the load.

Keywords

• gradient porous material
• simply supported beam
• wet thermal environment
• follower force
• numerical solution