We prove the existence of energy-minimizing configurations for a two-dimensional, variational model of magnetoelastic materials capable of large deformations. The model is based on an energy functional which is the sum of the nonlocal self-energy (the energy stored in the magnetic field generated by the body, and permeating the whole ambient space) and of the local anisotropy energy, which is not weakly lower semicontinuous. A further feature of the model is the presence of a non-convex constraint on one of the unknowns, the magnetization, which is a unit vector field.
|Titolo:||Existence of minimizers foe a variational problem in two-dimensional nonlinear magnetoelasticity|
|Autori:||DESIMONE A.; DOLZ; ANN G.|
|Rivista:||ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS|
|Data di pubblicazione:||1998|
|Digital Object Identifier (DOI):||10.1007/s002050050114|
|Appare nelle tipologie:||1.1 Journal article|