An alternative method of solvent-induced stresses in an elastic thin slab: Moutier theorem

Douyau Chiang, Hao Ouyang, Fuqian Yang, Sanboh Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Pages (from-to)1178-1186
Number of pages9
JournalPolymer Engineering and Science
Issue number4
StatePublished - Apr 2022

Bibliographical note

Funding Information:
We are grateful to the Ministry of Science and Technology, Taiwan, for financial support.

Publisher Copyright:
© 2022 Society of Plastics Engineers.


  • Moutier theorem
  • elastic slab
  • solvent-induced stress

ASJC Scopus subject areas

  • Materials Chemistry
  • Chemistry (all)
  • Polymers and Plastics


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