A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)232-247
Journal / PublicationComputer Methods in Applied Mechanics and Engineering
Volume296
Publication statusPublished - 1 Nov 2015

Abstract

An element-free framework is developed for the three-dimensional transient process of coupled mechanical-diffusion induced nonlinear deformation of polymeric gels based on the improved moving least-squares Ritz (IMLS-Ritz) method. The method approximates the displacement and chemical potential fields of the gels using the IMLS approximation. An energy formulation for the system is derived and a set of discrete equations is obtained through the Ritz procedure. As a result, the corresponding formulae of the element-free IMLS-Ritz method for three-dimensional transient analysis of the coupled mechanical and diffusion induced nonlinear deformation in polymeric gel are furnished. The numerical accuracy of the IMLS-Ritz method is demonstrated through analyzing the coupled mechanical-diffusion induced transient nonlinear deformation of cubic, thin film and rod gels.

Research Area(s)

  • Element-free IMLS-Ritz method, Nonlinear deformation, Polymeric gel, Three-dimensional transient analysis

Citation Format(s)

A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method. / Li, D. M.; Zhang, L. W.; Liew, K. M.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 296, 01.11.2015, p. 232-247.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review