Material Inhomogeneities in Elasticity is popular PDF and ePub book, written by G.A. Maugin in 2020-09-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Material Inhomogeneities in Elasticity can be Read Online from any device for your convenience.
Material Inhomogeneities in Elasticity Book PDF Summary
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.
Detail Book of Material Inhomogeneities in Elasticity PDF
- Author : G.A. Maugin
- Release : 11 September 2020
- Publisher : CRC Press
- ISBN : 9781000110012
- Genre : Mathematics
- Total Page : 292 pages
- Language : English
- PDF File Size : 20,8 Mb
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