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Konstantin Koifman, Sergey Lychev (Beteiligte)

Geometry of Incompatible Deformations


Differential Geometry in Continuum Mechanics
2019. XX, 388 S. 37 b/w ill., 14 b/w tbl. 240 mm
Verlag/Jahr: DE GRUYTER 2019
ISBN: 3-11-056201-4 (3110562014)
Neue ISBN: 978-3-11-056201-9 (9783110562019)

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The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics.
They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes.
The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

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