On the stiffness of materials containing a disordered array of microscopic holes or hard inclusions

DOI10.1007/BF00375624zbMath0781.73007MaRDI QIDQ1208104

Perry H. Leo, Oscar P. Bruno

Publication date: 16 May 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

analyticityeffective elasticity tensorseparated spherical or cylindrical holessingularity region

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)

Related Items (6)

Bloch spectra for high contrast elastic media ⋮ Integral representation of hydraulic permeability ⋮ Improved bounds for the effective properties of a nonlinear two-phase elastic composite ⋮ Internal resonances and relaxation memory kernels in composites ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory ⋮ Two-parameter integral representation formula for the effective elastic moduli of two-phase composites

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved rigorous bounds on the effective elastic moduli of a composite material
• Variational bounds on the effective moduli of anisotropic composites
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Homogenization in open sets with holes
• Elastostatic resonances - A new approach to the calculation of the effective elastic constants of composites
• Subalgebras of a finite algebra
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• ASYMPTOTIC EXPANSION OF SOLUTIONS OF THE SYSTEM OF ELASTICITY THEORY IN PERFORATED DOMAINS
• Creeping flow through cubic arrays of spherical bubbles
• Extremum principles for slow viscous flows with applications to suspensions
• Bounds on Elastic Moduli of Composite Media

This page was built for publication: On the stiffness of materials containing a disordered array of microscopic holes or hard inclusions