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A Self-Consistent Analysis of the Stiffening Effect of Rigid Inclusions on a Power-Law Material
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Singularity Strength at the Apex of a Wedge Undergoing Finite Deformations
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Singularity at the Apex of a Rigid Wedge Embedded in a Nonlinear Material
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Singularity at the Apex of a Rigid Wedge After Partial Separation
Publisher: The American Society of Mechanical Engineers (ASME)
The Stiffening Effect of Rigid Elliptical Inclusions on a Power-Law Material
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Influence of Two-Dimensional End Effects on the Natural Frequencies of Cantilevered Beams Weak in Shear
Publisher: The American Society of Mechanical Engineers (ASME)
Elementary, Static Beam Theory is as Accurate as You Please
Publisher: The American Society of Mechanical Engineers (ASME)
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 ...
The Usefulness of Elementary Theory for the Linear Vibrations of Layered, Orthotropic Elastic Beams and Corrections Due to Two-Dimensional End Effects
Publisher: The American Society of Mechanical Engineers (ASME)
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, ...