Variational bounds on the effective moduli of anisotropic composites

Journal of the Mechanics and Physics of Solids

Volumn 36, Issue 6, 1988, Pages 597-629

  Milton, Graeme W ^a   Kohn, Robert V ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45549116280     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(88)90001-4     Document Type: Article

References (56)

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5. Microgeometry of random composites and porous media
6. On a class of optimum problems in structural design
7. Homogenization limits of diffusion equations in thin domans
8. Variational treatment of the elastic constants of disordered materials
9. Optimal bounds for conduction in two-dimensional, multiphase, polycrystalline media
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13. Bounds for effective parameters of heterogeneous media by analytic continuation
14. Variational principles of elasticity in terms of the polarization tensor
15. A variational approach to the theory of the effective magnetic permeability of multiphase materials
16. A variational approach to the theory of the elastic behavior of multiphase materials
17. The elastic behavior of a crystalline aggregate
18. New derivations of some elastic extremum principles
19. Improved rigorous bounds on the effective elastic moduli of a composite material
20. The effective viscosity of a mixture of two Stokes fluids
21. Optimal bounds for the effective energy of a mixture of two isotropic incompressible elastic materials
22. On bounding the effective conductivity of anisotropic composites
23. Optimal design and relaxation of variational problems
24. Optimal design and relaxation of variational problems
25. Optimal design and relaxation of variational problems
26. Bounds for effective moduli of disordered materials
27. On the effective elasticity of a two-dimensional homogenized incompressible elastic composite
28. Optimal structural design and relaxed controls
29. Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
30. G-closure of a set of anisotropically conducting media in the two-dimensional case
31. G-closure of a set of anisotropically conducting media in the two-dimensional case
32. G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates
33. The problem of formation of an optimal isotropic multicomponent composite
34. Exact estimates of the conductivity of a binary mixture of isotropic components
35. The effective characteristics of composite materials and problems of optimal designs of constructions
36. Regularization of optimal design problems for bars and plates
37. Regularization of optimal design problems for bars and plates
38. Concerning bounds on the transport and mechanical properties of multicomponent composite materials
39. Modelling the properties of composites by laminates
40. Multicomponent composites, electrical networks and new types of continued fractions I, II
41. Multicomponent composites, electrical networks and new types of continued fractions I, II
42. Thermal conduction in composites
43. New bounds on the effective elastic moduli of two component materials
44. Calcul des variations et homogenization
45. Prediction of elastic constants of multiphase materials
46. Optimal design of a two-way conductor
47. Bounds on the conductivity of statistically isotropic polycrystals
48. Problemes de controle des coefficients dans des equations aux derivees partielles
49. Estimations fines des coefficients homogeneises
50. Bounds and self-consistent estimates for the overall moduli of anisotropic composites
51. Elasticity theory of composites