Material Inhomogeneities in Elasticity: 3 (Applied Mathematics) - Hardcover

Maugin, G.A.

Hardcover

ISBN 10: 0412495201 ISBN 13: 9780412495205

Publisher: Chapman and Hall/CRC, 1993

Synopsis

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.

About this title

About the Author

Gerard Maugin is Director of Research at CNRS, Paris, and teacher at the Universite Pierre et Marie Curie (Paris VI), France.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1993
• Language: English
• ISBN 10: 0412495201
• ISBN 13: 9780412495205
• Binding: Hardcover
• Edition number: 1
• Number of pages: 288