Effective Elastic Moduli of Continuous Fiber Composite Materials

Bounds on the Effective Moduli of Composite Materials

Improved Rigorous Bounds on the Effective Elastic Moduli of a Composite Material

A NEW METHOD for deriving rigorous bounds on the effective elastic constants of a composite material is presented and used to derive a number of known as well as some new bounds. The new approach is based on a presentation of those constants as a sum of simple poles. The locations and strengths of the poles are treated as variational parameters, while different kinds of available information ar...

Effective moduli for thermopiezoelectric materials with microcracks

Dilute, Self-Consistent (SC), Mori–Tanaka (MT) and differential micromechanics methods are developed for microcrack-weakened thermopiezoelectric solids. These methods are capable of determination of effective properties such as the conductivity, electroelastic moduli, thermal expansion and pyroelectric coefficients. The above material constants affected by the microcracks are derived by way of ...

Measurement of High Temperature Elastic Moduli of Infrared Transparent Materials

Insight into a material’s high temperature mechanical and microstructural properties can be gained from knowledge of its elastic moduli. For a single-crystal material, the elastic modulus, Cijkl, provides information on the strain (εkl) stress (σij) relationship given by σij = Cijkl•εkl. This relationship shows that, for a given strain, a large elastic modulus will induce a large stress in the ...

First-principles approach for effective elastic-moduli calculation: Application to continuous fractal structure.

%'e present a new first-principles approach to the calculation of effective elastic moduli of composites based on the iterative solution of the Dyson equation for elastic wave scatterings in inhomogeneous media. Application of the method to the examination of elastic scaling behavior of a continuous fractal shows that the moduli associated with different elastic eigenmodes exhibit distinct expo...