Incompressible limit for a magnetostrictive energy functional

Bulletin of the Polish Academy of Sciences. Technical Sciences

B. GambinCorresponding authorInstitute of Fundamental Technological Research, Polish Academy of Sciences, 5B Pawi?skiego St., 02-106 Warszawa, Poland Institute of Geophysics, Polish Academy of Sciences, 64 Ksi?cia Janusza St., 01-452 Warszawa, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹  W. BielskiInstitute of Fundamental Technological Research, Polish Academy of Sciences, 5B Pawi?skiego St., 02-106 Warszawa, Poland Institute of Geophysics, Polish Academy of Sciences, 64 Ksi?cia Janusza St., 01-452 Warszawa, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Institute of Fundamental Technological Research, Polish Academy of Sciences, 5B Pawi?skiego St., 02-106 Warszawa, Poland Institute of Geophysics, Polish Academy of Sciences, 64 Ksi?cia Janusza St., 01-452 Warszawa, Poland

关键词: Keywords : gamma-convergence;    incompressibility;    magnetostrictive material;    second gradient of deformation;    existence of minimizers;   

DOI  :  10.2478/bpasts-2013-0110

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

The modern materials undergoing large elastic deformations and exhibiting strong magnetostrictive effect are modelled here by free energy functionals for nonlinear and non-local magnetoelastic behaviour. The aim of this work is to prove a new theorem which claims that a sequence of free energy functionals of slightly compressible magnetostrictive materials with a non-local elastic behaviour, converges to an energy functional of a nearly incompressible magnetostrictive material. This convergence is referred to as a Γ -convergence. The non-locality is limited to non-local elastic behaviour which is modelled by a term containing the second gradient of deformation in the energy functional.

【 授权许可】

Unknown