Continuum Deformation Theory for High‐Temperature Metallic Composites

Abstract

A continuum theory is presented for representing the high‐temperature deformation behavior of metallic composite materials. The composite is considered pseudohomogeneous with its own properties that can be measured for the composite as a whole. A class of constitutive equations in which the inelastic strain rate and internal state are expressible as gradients of a dissipation potential function is extended for a composite. The potential is taken to depend on invariants that reflect local transverse isotropy. Applications illustrate the capability of the theory of representing the time‐dependent, hereditary, anisotropic behavior typical of these materials at elevated temperature.