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Phase field simulation of the intercalation‐induced stresses in the hyperelastic solids via isogeometric analysis
Author(s) -
Zhao Ying,
Stein Peter,
Xu BaiXiang
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510212
Subject(s) - isogeometric analysis , hyperelastic material , phase (matter) , work (physics) , operator (biology) , field (mathematics) , diffusion , materials science , mathematical analysis , finite element method , mechanics , mathematics , physics , thermodynamics , pure mathematics , chemistry , biochemistry , repressor , quantum mechanics , gene , transcription factor
In this work the Cahn‐Hilliard‐type diffusion in a hyperelastic solid will be studied and simulated using isogeometric analysis. The Cahn‐Hilliard model is employed to account for the phase segregation phenomenon, in which a fourth‐order partial differential operator exists. In order to deal with this high‐order operator, isogeometric analysis is applied. Finally, simulation results of a disc is given. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)