A note on bounds for non-linear multivalued homogenized operators

被引:0
作者
Svanstedt N. [1 ]
机构
[1] Department of Mathematics, Chalmers University, Göteborg University
关键词
Hashin-Shtrikman bounds; Highly oscillatory operators; Multivalued operators; Reuss-Voigt-Wiener bounds;
D O I
10.1023/A:1023210332327
中图分类号
学科分类号
摘要
In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.
引用
收藏
页码:81 / 92
页数:11
相关论文
共 32 条
[21]  
Suquet P., Overall potentials and extremal surfaces of power law or ideally plastic composites, J. Mech. Phys Solids, 41, pp. 981-1002, (1993)
[22]  
Svanstedt N., Bounds for Homogenized Constitutive Laws in Non-linear Elasticity and Plasticity
[23]  
Talbot D.R.S., Willis J.R., Some simple explicit bounds for the overall behaviour of nonlinear composites, Int. J. Solids Struct., 29, pp. 1981-1987, (1992)
[24]  
Talbot D.R.S., Willis J.R., Upper and lower bound for the overall properties of a nonlinear composite dielectric I. Random microgeometry, Proc. Royal Soc. London a, 447, pp. 365-384, (1994)
[25]  
Tartar L., Estimations Fines des Coefficients Homogenises. Ennio de Giorgi Colloquium, pp. 168-187, (1985)
[26]  
Tartar L., H-measures, a new approach for studying homogenization, oscillations and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh, 115 A, pp. 193-230, (1990)
[27]  
Torquato S., Random Heterogeneous media: Microstructures and improved bounds on effective properties, Appl. Mech. Rev., 44, pp. 37-76, (1991)
[28]  
Walpole L.J., On bounds for the overall elastic moduli of anisotropic composites, J. Mech. Phys. Solids, 14, pp. 151-162, (1966)
[29]  
Willis J.R., Variational and related methods for the overall properties of composites, Advances in Applied Mechanics, 21, pp. 1-78, (1981)
[30]  
Willis J.R., The overall elastic response of composite materials, J. Appl. Mech., 50, pp. 1202-1209, (1983)