Part I – Theory of Mixtures

Theories of immiscible and structured mixtures

General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations

General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow.

In this paper a special form of gradient-dependent elasticity is considered. The motivation for considering higher-order gradients of strains in elasticity is discussed. Equilibrium equations and boundary conditions are discussed. The relationship between the special form of gradient elasticity adopted in this study and mixture or nonlocal theories is considered. Solutions to certain problems including the propagation of harmonic waves, the longitudinal vibrations of a beam, and the displacement field in an infinite medium weakened by a line crack are given.

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On Some Aspects in the Special Theory of Gradient Elasticity

Toward A Diffusing Continuum Theory of Composite Materials

On a Continuum Theory for a Laminated Medium

A Continuum Theory of Fluid Saturated Porous Media

Wave Propagation in Viscoelastic Laminates

On Theoretical and Experimental Wave Propagation in a Fiber-Reinforced Elastic Material

A. Bedford

Papers

Toward A Diffusing Continuum Theory of Composite Materials

On a Continuum Theory for a Laminated Medium

A Continuum Theory of Fluid Saturated Porous Media

Wave Propagation in Viscoelastic Laminates

On Theoretical and Experimental Wave Propagation in a Fiber-Reinforced Elastic Material