Abstract: An approximate constitutive relation is derived for a power-law viscous material stiffened by rigid spherical inclusions using a differential self-consistent analysis. This approach consists of two ...

Abstract: Herein we establish general formulae for characterizing the singular behavior at the apex of a wedge of nonlinear material of arbitrary size undergoing plane-strain finite deformation. Two sets ...

Abstract: The singular behavior of the stress and strain fields at the apex of a square rigid wedge embedded in a nonlinear material under plane-strain conditions is described. Both a power law and a ...

Abstract: An approximate constitutive relation is derived for plane strain deformation in a power-law viscous matrix reinforced with long rigid inclusions with elliptical cross sections. The analysis is ...

Abstract: Starting with a solution of elementary beam theory and integrating polynomials in the thickness coordinate, we generate kinematically-admissible strain fields and statically-admissible strain fields ...

Abstract: With the aid of formal asymptotic expansions, we conclude not only that elementary (Euler-Bernoulli) beam theory can be applied successfully to layered, orthotropic beams, possibly weak in shear, ...