eBook - ePub

Material Inhomogeneities in Elasticity

Name: Material Inhomogeneities in Elasticity
Author: G.A. Maugin

G.A. Maugin,

292 pages
English
ePUB (mobile friendly)
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eBook - ePub

Material Inhomogeneities in Elasticity

G.A. Maugin,

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About This Book

Self contained, this book presents a thorough introduction to the complementary notions of physical forces and material (or configurational) forces. All the required elements of continuum mechanics, deformation theory and differential geometry are also covered. This book will be a great help to many, whilst revealing to others a rather new facet of continuum mechanics in general, and elasticity in particular. An organized exposition of continuum mechanics on the material manifold is given which allows for the consideration of material inhomogeneities in their most appropriate framework. In such a frame the nonlinear elasticity of anisotropic inhomogenous materials appears to be a true field theory. Extensions to the cases of electroelasticity and magnetelasticity are then straightforward. In addition, this original approach provides systematic computational means for the evaluation of characteristic parameters which are useful in various branches of applied mechanics and mathematical physics. This is the case for path-independent integrals and energy-release rates in brittle fracture, the influence of electromagnetic fields on fracture criteria (such as in ceramics), the notion of momentum of electromagnetic fields in matter in optics, and the perturbation of solitons propagating in elastic dispersive systems.

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Yes, you can access Material Inhomogeneities in Elasticity by G.A. Maugin in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques générales. We have over one million books available in our catalogue for you to explore.