Diseño óptimo y homogenización

Proyecciones

Volumn 19, Issue 3, 2000, Pages 271-289

  Gutiérrez, Sergio ^a,b  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646839541     PISSN: 07160917     EISSN: 07176279     Source Type: Journal    
DOI: 10.4067/S0716-09172000000300004     Document Type: Article

References (17)

1. J. M. Ball: Constitutive Inequalities and Existence Theorems in Nonlinear Elastostatics. Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol. I. ed. R. J. Knops, Pitman Res. Notes Math. 17,187-241 (1977).
2. J. M. Ball: A Version of the Fundamental Theorem for Young Measures. PDEs and Continuum Models of Phase Transitions. Lecture Notes in Physics vol. 344, eds. M. Rascle et al. Springer-Verlag (1989).
3. G. Dal Maso: An Introduction to Γ-Convergence. Progress in Nonlinear Differential Equations and their Applications, vol. 8, Birkhäuser, Boston (1993).
4. G. Francfort y G. Milton: Sets of Conductivity and Elasticity Tensors Stable under Lamination. Comm. Pure Appl. Math. XLVII, 257-279 (1994).
5. G. Francfort y F. Murat: Homogenization and Optimal Bounds in Linear Elasticity. Arch. Rat. Mech. Anal. 94, 307-334 (1986).
6. G. Geymonat, S. Müller y N. Triantafyllidis: Homogenization of Nonlinearly Elastic Materials, Mic roscopic Bifurcation and Macroscopic Loss of Rank-One Convexity. Arch. Rational Mech. Anal. 122, 231-290 (1993).
7. M. Gurtin: The Linear Theory of Elasticity. Handbuch der Physik Vol. VIa/2. Springer-Verlag (1972).
8. S. Gutiérrez: Laminations in Linearized Elasticity: The Isotropic Non-very Strongly Elliptic Case. J. Elasticity 53, 215-256 (1998).
9. Z. Hashin y S. Shtrikman: A variational approach to the theory of effective magnetic permeability of multiphase materials. J. Applied Physics 33, 3125-3131 (1962).
10. 1-unboundedness of Solutions to Strongly Elliptic Systems of Partial Differential Equations in a Laminated Geometry. Proc. Roy. Soc. Edinburgh 105A, 77-82 (1987).
11. F. Murat: H-convergence. Séminaire d'Analyse Fonctionnelle et Numérique de l'Université d'Alger (1977).
12. F. Murat y L. Tartar: Calculus of Variations and Homogenization. Collection d'Etudes de Electricité de France (1983).
13. P. Pedregal: Parametrized Measures and Variational Principles. Progress in Nonlinear Differential Equations and their Applications, vol. 30, Birkhäuser, Basel (1997).
14. S. Spagnolo: Sulla convergenza di soluzioni di equazioni paraboliche ed ellitiche. Ann. Sc. Norm. Sup. di Pisa Cl. di Scienze 22, 577-597 (1968).
15. L. Tartar: Cours Peccot, Collège de France (1977).
16. L. Tartar: Compensated Compactness and applications to Partial Differential Equations. Nonlinear Analysis and Mechanics: Heriot Watt Symposium, vol. IV, ed. R.J. Knops. Research Notes in Mathematics 39, Pitman 136-212 (1979).
17. L. Tartar: Homogenization, Compensated Compactness and H-Measures. CBMS-NSF Conference, Santa Cruz, June 1993. Notas en preparación.