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An Examination of the Mori-Tanaka Effective Medium Approximation for Multiphase Composites
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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 ...
Membrane and Flexural Waves on Thin Shells
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Membrane and flexural waves are limiting short wavelength solutions of the equations of motion for arbitrarily curved, smooth shells. Each distinct wave type is found using a geometrical or ray ...
Nonlinear Elasticity of Granular Media
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The finite and incremental elasticity of a random packing of identical spheres is derived using energy methods. We consider different models for the contact forces between spheres, all of which ...
Dispersion of Flexural Waves on Shells
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Simple and accurate approximations are given for the dispersion properties of flexural waves on curved shells in vacuo. The results apply to shells of arbitrary double curvature, and are valid ...
Linear and Nonlinear Elasticity of Granular Media: Stress-Induced Anisotropy of a Random Sphere Pack
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We develop an effective medium theory of the nonlinear elasticity of a random sphere pack based upon the underlying Hertz-Mindlin theory of grain-grain contacts. We compare our predictions for ...
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