Displaying similar documents to “Semicontinuity theorem in the micropolar elasticity”

Existence theorem for nonlinear micropolar elasticity

Josip Tambača, Igor Velčić (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we give an existence theorem for the equilibrium problem for nonlinear micropolar elastic body. We consider the problem in its minimization formulation and apply the direct methods of the calculus of variations. As the main step towards the existence theorem, under some conditions, we prove the equivalence of the sequential weak lower semicontinuity of the total energy and the quasiconvexity, in some variables, of the stored energy function.

Homogenization of micromagnetics large bodies

Giovanni Pisante (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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A homogenization problem related to the micromagnetic energy functional is studied. In particular, the existence of the integral representation for the homogenized limit of a family of energies ℰ ε ( m ) = ∫ Ω φ x , x ε , m ( x ) d x - ∫ Ω h e ( x ) · m ( x ) d x + 1 2 ∫ ℝ 3 | ∇ u ( x ) | 2 d x of a large ferromagnetic body is obtained.

Evolutionary problems in non-reflexive spaces

Martin Kružík, Johannes Zimmer (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.