Improved rigorous bounds on the effective elastic moduli of a composite material
From MaRDI portal
Publication:795538
DOI10.1016/0022-5096(84)90004-8zbMath0542.73003OpenAlexW2053463208MaRDI QIDQ795538
Yacov Kantor, David J. Bergman
Publication date: 1984
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-5096(84)90004-8
effective elastic constantscomposite materialisotropic materialsrigorous boundsarbitrary microgeometryevaluation of the locations and weightssum of simple poles
Related Items
Field fluctuations in a heterogeneous elastic material - An information theory approach, Homogenization and optimal bounds in linear elasticity, Mechanical properties of two novel planar lattice structures, Multicomponent composites, electrical networks and new types of continued fraction. I, Estimates for the trace of the averaged matrix, Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials, Lower bounds on the stress and strain fields inside random two-phase elastic media, Approximating the Effective Tensor as a Function of the Component Tensors in Two-Dimensional Composites of Two Anisotropic Phases, Variational bounds on the effective moduli of anisotropic composites, Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements, Effective elastic properties of periodic composite medium., The total creep of viscoelastic composites under hydrostatic or antiplane loading, Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry, On the stiffness of materials containing a disordered array of microscopic holes or hard inclusions, Analytical relations between effective material properties and microporosity: application to bone mechanics, Rigorous bounds on the effective thermal conductivity of composites with ellipsoidal inclusions, Lower strain and stress bounds for elastic random composites consisting of two isotropic phases and exhibiting cubic symmetry, Optimal lower bounds on the local stress inside random thermoelastic composites, Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic 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, Simple algebraic approximations for the effective elastic moduli of cubic arrays of spheres, Acoustic and effective material parameters of heterogeneous viscoelastic bodies, Bounds on the complex permittivity of a multicomponent material
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- On bounds for the overall elastic moduli of inhomogeneous systems. I
- On the overall elastic moduli of composite materials
- Elastic properties of reinforced solids: Some theoretical principles
- New bounds on effective elastic moduli of two-component materials
- Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
- Viscoelastic fiber reinforced materials.