Force and Energy
Charles Grant Blairfindie Allen
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Charles Grant Blairfindie Allen
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Thomas C. Sideris (1996)
Inventiones mathematicae
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Heinz Siedentop, Rudi Weikard (1989)
Inventiones mathematicae
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M. D. Leko (1965)
Matematički Vesnik
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M. Chipot, I. Shafrir, G. Vergara Caffarelli (2008)
Bollettino dell'Unione Matematica Italiana
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The energy of magneto-elastic materials is described by a nonconvex functional. Three terms of the total free energy are taken into account: the exchange energy, the elastic energy and the magneto-elastic energy usually adopted for cubic crystals. We focus our attention to a one dimensional penalty problem and study the gradient flow of the associated type Ginzburg-Landau functional. We prove the existence and uniqueness of a classical solution which tends asymptotically for subsequences...
Osmolovskiĭ, V.G. (2004)
Zapiski Nauchnykh Seminarov POMI
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Richard McGehee (1974)
Inventiones mathematicae
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Jarosław L. Bojarski (2005)
Applicationes Mathematicae
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The aim of this paper is to find the largest lower semicontinuous minorant of the elastic-plastic energy of a body with fissures. The functional of energy considered is not coercive.
Jarosław L. Bojarski (2004)
Applicationes Mathematicae
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The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, we show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet....
Giulio Maier, Giorgio Novati (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For the finite-step, backward-difference analysis of elastic-plastic solids in small strains, a kinematic (potential energy) and a static (complementary energy) extremum property of the step solution are given under the following hypotheses: each yield function is the sum of an equivalent stress and a yield limit; the former is a positively homogeneous function of order one of stresses, the latter a nonlinear function of nondecreasing internal variables; suitable conditions of "material...
F.R. Harvey, J.R. King (1971/72)
Inventiones mathematicae
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Jun-Muk Hwang (1995)
Inventiones mathematicae
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