The Stored-Energy for Some Discontinuous Deformations in Nonlinear Elasticity
作者： Paolo Marcellini
DOI: 10.1007/978-1-4615-9831-2_11
关键词: Stored energy 、 Humanities 、 Nonlinear elasticity 、 Physics
摘要: In questo lavoro viene applicata all’elasticita non lineare un’idea che Ennio De Giorgi ha dimostrato essere feconda in contesti diversi, ad esempio nello studio delle superfici minime o della Γ-convergenza. Si tratta cosiddetta “estensione dello spazio ambiente”: e opportuno ricercare a priori cartesiane di area minima nella classe BV funzioni variazione limitata, piuttosto tra le C 1, come pure problemi Γ-convergenza esistenza del minimo integrali calcolo variazioni estendere lo ambiente 1 fino uno Sobolev H 1,p , od anche perfino L p .
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Paolo Marcellini, On the definition and the lower semicontinuity of certain quasiconvex integrals Annales De L Institut Henri Poincare-analyse Non Lineaire. ,vol. 3, pp. 391- 409 ,(1986) , 10.1016/S0294-1449(16)30379-1
C. A. Stuart, Special Problems Involving Uniqueness and Multiplicity in Hyperelasticity Nonlinear functional analysis and its applications (Maratea, 1985). ,vol. 173, pp. 131- 145 ,(1986) , 10.1007/978-94-009-4632-3_6
C.A. Stuart, Radially symmetric cavitation for hyperelastic materials Annales De L Institut Henri Poincare-analyse Non Lineaire. ,vol. 2, pp. 33- 66 ,(1985) , 10.1016/S0294-1449(16)30411-5
P. Marcellini, Existence Theorems in Nonlinear Elasticity North-holland Mathematics Studies. ,vol. 129, pp. 241- 247 ,(1986) , 10.1016/S0304-0208(08)72401-0
Walter Rudin, Real and complex analysis ,(1966)
Raymond William Ogden, Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 326, pp. 565- 584 ,(1972) , 10.1098/RSPA.1972.0026
Jeyabal Sivaloganathan, Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity Archive for Rational Mechanics and Analysis. ,vol. 96, pp. 97- 136 ,(1986) , 10.1007/BF00251407
J.M Ball, F Murat, W1,p-quasiconvexity and variational problems for multiple integrals Journal of Functional Analysis. ,vol. 58, pp. 225- 253 ,(1984) , 10.1016/0022-1236(84)90041-7
J.M Ball, J.C Currie, P.J Olver, Null Lagrangians, weak continuity, and variational problems of arbitrary order Journal of Functional Analysis. ,vol. 41, pp. 135- 174 ,(1981) , 10.1016/0022-1236(81)90085-9
P. Podio-Guidugli, G. Vergara Caffarelli, E. G. Virga, Cavitation and Phase Transition of Hyperelastic Fluids Archive for Rational Mechanics and Analysis. ,vol. 92, pp. 401- 416 ,(1986) , 10.1007/978-3-642-61598-6_20