Authors:
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
About this book
The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Reviews
From the reviews:
"The authors present a systematic investigation of a variety of models in mathematical physics. … The theory presented here stems from some very beautiful results obtained by the authors concerning the formulation of differential equations describing explosive deformations of metals." (Konstantina Trivisa, Mathematical Reviews, 2005 e)
Authors and Affiliations
-
S. L. Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
Sergei K. Godunov, Evgenii I. Romenskii
Bibliographic Information
Book Title: Elements of Continuum Mechanics and Conservation Laws
Authors: Sergei K. Godunov, Evgenii I. Romenskii
DOI: https://doi.org/10.1007/978-1-4757-5117-8
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-306-47735-5Published: 31 May 2003
Softcover ISBN: 978-1-4419-3399-7Published: 01 December 2010
eBook ISBN: 978-1-4757-5117-8Published: 09 March 2013
Edition Number: 1
Number of Pages: VIII, 258
Topics: Numeric Computing, Applications of Mathematics, Fluid- and Aerodynamics, Solid Mechanics, Mathematical and Computational Engineering, Classical Mechanics