Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics

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Sergey Lychev Konstantin Koifman

Geometry of Incompatible Deformations

Differential Geometry in Continuum Mechanics

Sergey Lychev, Konstantin Koifman

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English

De Gruyter
05 November 2018

Differential & Riemannian geometry; Classical mechanics; Mathematical physics; Materials science

Series: De Gruyter Studies in Mathematical Physics

This monograph provides a systematic treatment of differential geometry in modeling of incompatible fiite deformations in solids. Included are discussions of generalized deformations and stress measures on smooth manifolds, geometrical formalizations for structurally inhomogeneous bodies, representations for configurational forces, and evolution equations.

By: Sergey Lychev, Konstantin Koifman
Imprint: De Gruyter
Country of Publication: Germany
Volume: 50
Dimensions: Height: 240mm, Width: 170mm, Spine: 25mm
Weight: 817g
ISBN: 9783110562019
ISBN 10: 3110562014
Series: De Gruyter Studies in Mathematical Physics
Pages: 408
Publication Date: 05 November 2018
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Sergey Lychev and Konstantin Koifman, Institute for Problems in Mechanics of Russian Academy of Science, Russia.

Reviews for Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics

This monograph is highly recommended for scholars and advanced graduate students working in areas of continuum mechanics and continuum physics, especially those with a focus on geometric methods. Applied mathematicians conducting research in nonlinear elasticity should nd the work particularly interesting and useful. John D. Clayton in: Mathematical Reviews Clippings (2019), MR3931699