On the integral representation formula for a two-component elastic composite

On the representation formula for well-ordered elastic composites: a convergence of measure approach

The aim of this paper is to derive an integral representation formula for the effective elasticity tensor for a two-component well-ordered composite of elastic materials without using a third reference medium and without assuming the completeness of the eigenspace of the operator Ĝ defined in (2.16) in (J. Mech. Phys. Solids 1984; 32(1):41–62). As shown in (J. Mech. Phys. Solids 1984; 32(1):41–...

General Integral Representation Formula for the Effective Elastic Tensor of Two-phase Composites

In this paper, we derive the general integral representation formulas (IRFs) for the strain field and for the effective elasticity tensor of two-component elastic composites. The information about the contrast is represented by a rank-four tensor in the integrand while the information about the microgeometry is included in the Stieltjes measure of the IRF. The relation between the IRFs presente...

An Axisymmetric Torsion Problem of an Elastic Layer on a Rigid Circular Base

A solution is presented to a doubly mixed boundary value problem of the torsion of an elastic layer, partially resting on a rigid circular base by a circular rigid punch attached to its surface. This problem is reduced to a system of dual integral equations using the Boussinesq stress functions and the Hankel integral transforms. With the help of the Gegenbauer expansion formula of the Bessel f...

Two-parameter integral representation formula for the effective elastic moduli of two-phase composites

Buckling and vibration analysis of angle -ply symmetric laminated composite plates with fully elastic boundaries

The main focus of this paper is on efficiency analysis of two kinds of approximating functions (characteristic orthogonal polynomials and characteristic beam functions) that have been applied in the Rayleigh-Ritz method to determine the non-dimensional buckling and frequency parameters of an angle ply symmetric laminated composite plate with fully elastic boundaries. It has been observed that o...