Li, D.M.  ORCID: https://orcid.org/0000-0001-7677-7834, Zhang, L.W. and Liew, K.M.
2015.
A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method.
Computer Methods in Applied Mechanics and Engineering
296
, pp. 232-237.
10.1016/j.cma.2015.05.011
|
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.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Engineering |
| Publisher: | Elsevier |
| ISSN: | 0045-7825 |
| Date of Acceptance: | 13 May 2015 |
| Last Modified: | 07 Nov 2022 10:01 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/130917 |
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