Foundations Of Micropolar Mechanics
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Foundations of Micropolar Mechanics
Author: Victor A. Eremeyev
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-07-25
The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.
Mechanics of Solids and Materials
Author: Robert Asaro
language: en
Publisher: Cambridge University Press
Release Date: 2006-01-16
This 2006 book combines modern and traditional solid mechanics topics in a coherent theoretical framework.
Microcontinuum Field Theories
Author: A. Cemal Eringen
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Microcontinuum field theories constitute an extension of classical field theories -- of elastic bodies, deformations, electromagnetism, and the like -- to microscopic spaces and short time scales. Material bodies are here viewed as collections of large numbers of deformable particles, much as each volume element of a fluid in statistical mechanics is viewed as consisting of a large number of small particles for which statistical laws are valid. Classical continuum theories are valid when the characteristic length associated with external forces or stimuli is much larger than any internal scale of the body under consideration. When the characteristic lengths are comparable, however, the response of the individual constituents becomes important, for example, in considering the fluid or elastic properties of blood, porous media, polymers, liquid crystals, slurries, and composite materials. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity.