Analytical solutions for a one-dimensional chemo-mechanical coupling problem

Chemo-mechanical coupling exists in a lot of intelligent materials including hydrogels, biological tissues and other soft materials. These materials are able to respond to external stimulus, such as temperature, chemical concentration, and pH value. In this paper, a one-dimensional theoretical model for chemo-mechanical coupling is proposed for analyzing the uniaxial stress/strain state of coupling materials. Based on the chemo-mechanical coupled governing equation, the displacement function and concentration function are derived and the stress and chemical potential are obtained. It is shown that the present chemo-mechanical theory can characterize the chemo-mechanical coupling behavior of intelligent materials.