An alternative method of solvent‐induced stresses in an elastic thin slab: Moutier theorem. Issue 4 (1st February 2022)

• Record Type: Journal Article
• Authors: Chiang, Douyau; Ouyang, Hao; Yang, Fuqian; Lee, Sanboh
• Is Part Of: Polymer engineering & science. Volume 62:Issue 4(2022)
• Page Start: 1178
• Page End: 1186
• Publication Date: 2022-02-01
• Subjects: elastic slab -- Moutier theorem -- solvent‐induced stress; Polymer engineering -- Periodicals; Polymers -- Periodicals; 668.9
• DOI: 10.1002/pen.25916
• Languages: English
• ISSNs: 0032-3888

Abstract

Abstract: Understanding the solvent‐induced stresses in polymeric materials is of profound importance for drug release and soft robotics. This work presents an alternative method to obtain an analytical solution of solvent‐induced stress in an elastic slab using the Moutier theorem under the framework of equilibrium thermodynamics and the elastic solution available in the literature. Using the analytical solution and the temporal evolution of the mass of organic solvents in polymeric slabs, we analyze the spatiotemporal evolution of the solvent‐induced stress in the polymeric slabs and reveal the effects of the solvent transport on the stress evolution. The approach presented in this work provides a simple method to solve the decoupling problem involving diffusion and solvent‐induced stresses. Abstract : Using the Moutier theorem and the elastic solution in literature provides a simple approach to construct an analytical solution for thermoelasticity and diffusion‐induced stress. We use the Moutier theorem and the analytical solution of the elastic bending of a multilayer beam to derive the closed‐form solution of solvent‐induced stress in an elastic slab. Using the closed‐form solution, we illustrated the spatiotemporal distributions of the solvent‐induced stress in the polymers. We revealed the dependence of the solvent‐induced stress in the polymers on the absorption and desorption behaviors.