Bounds on the Effective Moduli of Cracked Materials

Using Gsc Theory for Effective Thermal Expansion and Pyroelectric Coefficients of Cracked Piezoelectric Solids

Many brittle materials, such as concrete, piezoelectricity, have a large number of preexisting microcracks, The determination of their effective material properties has been the focus of considerable research. Current research into the development of effective material properties has mostly concentrated on the Taylor's method[l], the self-consistent method[2], the differential theory[3], the Mo...

Rigorous connection between physical properties of porous rocks

Rigorous cross-property bounds that connect the effective thermal conductivity k. (or the electrical conductivity a.) and the effective bulk modulus K. of any isotropic, two-phase composite were recently derived by the authors. Here we reformulate these bounds and apply them to porous rocks with dry or fluid-filled pores. It is shown that knowledge of the effective conductivity can yield sharp ...

Geometrical-parameter Bounds on the Effective Moduli of Composites

We study bounds on the effective conductivity and elastic moduli of two-phase isotropic composites that depend on geometrical parameters that take into account up to three-point statistical information concerning the composite microstructure. We summarize existing bounds, apply a special fractional linear transformation to simplify their functional forms, and describe two approaches to improve ...

Bounds on the Effective Moduli of Composite Materials

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 ...