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A differential scheme for the effective moduli of composites
- A. Norris
- Mathematics
- 1 March 1985
Acoustic cloaking theory
- A. Norris
- PhysicsProceedings of the Royal Society A: Mathematical…
- 1 May 2008
An acoustic cloak is a compact region enclosing an object, such that sound incident from all directions passes through and around the cloak as though the object was not present. A theory of acoustic…
Low‐frequency dispersion and attenuation in partially saturated rocks
- A. Norris
- Geology
- 1 July 1993
A theory is developed for the attenuation and dispersion of compressional waves in inhomogeneous fluid‐saturated materials. These effects are caused by material inhomogeneity on length scales of the…
The Closest Elastic Tensor of Arbitrary Symmetry to an Elasticity Tensor of Lower Symmetry
- Maher Moakher, A. Norris
- Mathematics
- 14 August 2006
The closest tensors of higher symmetry classes are derived in explicit form for a given elasticity tensor of arbitrary symmetry. The mathematical problem is to minimize the elastic length or distance…
Scattering of flexural waves on thin plates
Abstract Some general results are presented concerning the scattering of flexural waves from regions of inhomogeneity on flat plates. We derive a flux conservation relation for arbitrary motion, and…
Particle granular temperature in gas fluidized beds
- G. Cody, D. Goldfarb, G. Storch, A. Norris
- Physics
- 1 June 1996
Radiation from a point source and scattering theory in a fluid-saturated porous solid
- A. Norris
- Physics
- 1 June 1985
The time harmonic Green function for a point load in an unbounded fluid‐saturated porous solid is derived in the context of Biot’s theory. The solution contains the two compressional waves and one…
An Examination of the Mori-Tanaka Effective Medium Approximation for Multiphase Composites
- A. Norris
- Engineering
- 1 March 1989
The Mori-Tanaka method is considered in the context of both scalar thermal conductivity and anisotropic elasticity of multiphase composites, and some general properties are deduced. Particular…
Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems
- A. Norris, A. Shuvalov, A. Kutsenko
- PhysicsProceedings of the Royal Society A: Mathematical…
- 13 January 2012
Homogenization of the equations of motion for a three-dimensional periodic elastic system is considered. Expressions are obtained for the fully dynamic effective material parameters governing the…
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