A transmission problem for beams on nonlinear supports.
Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
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Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
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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.
Santos, M.L., Ferreira, J., Raposo, C.A. (2005)
Abstract and Applied Analysis
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Krejčí, Pavel, Sprekels, Jürgen
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Eduard Feireisl, Leopold Herrmann, Otto Vejvoda (1994)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Thierry-Vincent Hoarau-Mantel, Andaluzia Matei (2002)
International Journal of Applied Mathematics and Computer Science
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We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation. Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational...
Wen, Liu, Lei, Shi, Xiangzhong, Bai (2011)
Mathematical Problems in Engineering
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Paolo Maria Mariano, Giuseppe Modica (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappings and cartesian currents. Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev maps and cartesian currents describe the inner substructure of the material elements. Balance equations for irregular minimizers are derived. A contribution to the debate about the role...