Similarity and Symmetry Methods Applications in Elasticity and Mechanics of Materials /

The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applica...

Descripción completa

Guardado en:
Detalles Bibliográficos
Otros Autores: Ganghoffer, Jean-Francois (ed.), Mladenov, Ivailo (ed.)
Formato: Libro electrónico
Lenguaje:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Colección:Lecture Notes in Applied and Computational Mechanics, 73
Materias:
Acceso en línea:http://dx.doi.org/10.1007/978-3-319-08296-7
Aporte de:Registro referencial: Solicitar el recurso aquí
LEADER 03735Cam#a22004695i#4500
001 INGC-EBK-000596
003 AR-LpUFI
005 20220927105958.0
007 cr nn 008mamaa
008 140719s2014 gw | s |||| 0|eng d
020 |a 9783319082967 
024 7 |a 10.1007/978-3-319-08296-7  |2 doi 
050 4 |a TA405-409.3 
050 4 |a QA808.2 
072 7 |a TG  |2 bicssc 
072 7 |a TEC009070  |2 bisacsh 
072 7 |a TEC021000  |2 bisacsh 
245 1 0 |a Similarity and Symmetry Methods   |h [libro electrónico] : ;   |b Applications in Elasticity and Mechanics of Materials /   |c edited by Jean-Francois Ganghoffer, Ivailo Mladenov. 
260 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a vii, 376 p. :   |b il. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Applied and Computational Mechanics,  |x 1613-7736 ;  |v 73 
505 0 |a Some Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Dierential Equations -- Construction of Conservation Laws Using Symmetries -- Symbolic Computation Of Nonlocal Symmetries And Nonlocal Conservation Laws Of Partial Differential Equations Using The Gem Package For Maple -- Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds -- Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials -- Symmetries and Some Special Solutions of the Helfrich Model -- Lie Group Analysis of the Willmore and Membrane Shape Equations. 
520 |a The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering. That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations. The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data. As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint. The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields. 
650 0 |a Engineering.  |9 259622 
650 0 |a Computer mathematics.  |9 259612 
650 0 |a Mechanics.  |9 260044 
650 0 |a Continuum mechanics.  |9 260028 
650 2 4 |a Mechanics of Materials.  |9 260029 
650 2 4 |a Computational Science and Engineering.  |9 260310 
700 1 |a Ganghoffer, Jean-Francois,   |e ed.  |9 261514 
700 1 |a Mladenov, Ivailo,   |e ed.  |9 261515 
776 0 8 |i Printed edition:  |z 9783319082950 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-08296-7 
912 |a ZDB-2-ENG 
929 |a COM 
942 |c EBK  |6 _ 
950 |a Engineering (Springer-11647) 
999 |a SKV  |c 28024  |d 28024