Incompressible limit for a magnetostrictive energy functional
2013 ◽
Vol 61
(4)
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pp. 1025-1030
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Abstract 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.
2019 ◽
Vol 17
(03)
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pp. 393-423
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2017 ◽
Vol 25
(10)
◽
pp. 1804-1830
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2013 ◽
Vol 322
(2)
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pp. 593-632
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Keyword(s):
Keyword(s):