Incompressible limit for a magnetostrictive energy functional

• Autorzy: Gambin B. , Bielski W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

gamma-convergence; incompressibility; magnetostrictive material; second gradient of deformation; existence of minimizers

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 4
• Strony: 1025--1030
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Gambin B.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, 5B Pawińskiego St., 02-106 Warszawa, Poland Institute of Geophysics, Polish Academy of Sciences, 64 Księcia Janusza St., 01-452 Warszawa, Poland

autor

Bielski W.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, 5B Pawińskiego St., 02-106 Warszawa, Poland Institute of Geophysics, Polish Academy of Sciences, 64 Księcia Janusza St., 01-452 Warszawa, Poland

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