Vorliegende Sprache |
eng |
Hinweise auf parallele Ausgaben |
414103815 Druckausg.: ‡Maugin, G. A., 1944 - 2016: Continuum mechanics through the Twentieth Century |
ISBN |
978-94-007-6352-4 |
Name |
Maugin, G. A. |
T I T E L |
Continuum Mechanics Through the Twentieth Century |
Zusatz zum Titel |
A Concise Historical Perspective |
Verlagsort |
Dordrecht |
Verlag |
Springer |
Erscheinungsjahr |
2013 |
2013 |
Umfang |
Online-Ressource (XV, 314 p, digital) |
Reihe |
Solid Mechanics and Its Applications ; 196 |
Notiz / Fußnoten |
Description based upon print version of record |
Weiterer Inhalt |
Continuum MechanicsThrough the Twentieth Century; Preface; Contents; 1 The Land Clearers and the ''Classics''; Abstract; 1.1…Analysis and Partial Differential Equations: 18th Century; 1.2…Transition to the 19th Century; 1.3…Finite Deformations: Piola, Kirchhoff, Boussinesq; 1.4…The French ''Ingénieurs-savants''; 1.5…The British Giants: Green, Kelvin, Stokes, Maxwell; 1.6…The German School and its Giants: Kirchhoff, Clebsch, Voigt, Mohr, et al.; 1.7…Concluding Remark; 1.8…Further Reading; References; 2 Transition to the 20th Century; Abstract; 2.1…Setting the Stage. 2.2…Describing More Real Mechanical Behaviours2.2.1 Friction; 2.2.2 Plasticity; 2.2.3 Visco-Elasticity; 2.3…New Interests of Investigation; 2.3.1 Dynamics; 2.3.2 Internal Degrees of Freedom; 2.3.3 Elements of Homogenisation; 2.4…Pondering the Principles; 2.5…Concluding Remark; 2.6…Further Reading; References; 3 Rheology and Nonlinear Elasticity; Abstract; 3.1…Beyond Standard Linear Elasticity and Viscous Fluids; 3.1.1 General Remarks; 3.1.2 Non-Newtonian Fluids; 3.1.3 Nonlinear Elasticity; 3.2…Nonlinear Elasticity; 3.2.1 Reminder; 3.2.2 The Works of Treloar, Mooney and Rivlin. 3.2.2.1 Approximate Theories3.2.3 Further Generalizations; 3.2.3.1 Anisotropy; 3.2.3.2 Generalized Mooney-Rivlin Materials; 3.2.3.3 Odgen Model; 3.2.3.4 Mullins Effect; 3.3…Non-Newtonian Fluids; 3.4…Rheological Models and Further Extensions; 3.4.1 Zener's One-Dimensional Models; 3.4.2 Oldroyd's Time Derivative; 3.5…Concluding Remarks; References; 4 The American Society of Mechanical Engineers Spirit; Abstract; 4.1…Introduction; 4.2…The Stanford Connection and Timoshenko; 4.3…The M.I.T Connection and Reissner; 4.4…The Brown Connection and Prager; 4.5…The Columbia Connection and Mindlin. 4.6…Concluding RemarksReferences; 5 Axiomatization and Thermo-Mechanics; Abstract; 5.1…Introduction; 5.2…Truesdell's Approach to Continuum Mechanics; 5.3…Rational Thermodynamics; 5.4…Deviation from the Standard Definition of the Entropy Flux; 5.5…Extended Thermodynamics; 5.6…Thermodynamics with Internal Variables of State; 5.7…Conclusions; References; 6 The British School of Elasticity, Plasticity and Defects: Applied Mathematics; Abstract; 6.1…The General Landscape; 6.2…The Tradition of Applied Mathematics, Elasticity and Waves; 6.3…Cracks, Always Cracks; 6.3.1 Griffith's Theory. 6.3.2 Sneddon's Mathematical Works6.3.3 Eshelby, Stroh and Co-Workers; 6.3.4 Willis' Works; 6.4…Dislocations and Plasticity; 6.4.1 The Pioneers; 6.4.2 Eshelby's Contributions; 6.4.3 Geometry, Dislocations, and Plasticity; 6.5…Rodney Hill: Mathematical Plasticity; 6.6…Mathematical Problems; 6.7…Conclusion: From and Back to Materials Science via Mathematics; 7 The French Masters; Abstract; 7.1…The Originality of the French System of Higher Education: A Necessary Introductory Explanation; 7.2…The University of Paris and Paul Germain; 7.3…The Ecole Polytechnique and Jean Mandel. 7.4…The University of Grenoble and its Polytechnic Institute (INPG) |
Titelhinweis |
Druckausg.: ‡Maugin, G. A., 1944 - 2016: Continuum mechanics through the Twentieth Century |
ISBN |
ISBN 978-94-007-6353-1 |
Klassifikation |
TG |
TEC009070 |
TEC021000 |
*82-03 |
82B21 |
00A79 |
01A60 |
01A74 |
620.1 |
TA405-409.3 |
QA808.2 |
UF 2000 |
Kurzbeschreibung |
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise |
1. Schlagwortkette |
Kontinuumsmechanik |
Geschichte |
ANZEIGE DER KETTE |
Kontinuumsmechanik -- Geschichte |
SWB-Titel-Idn |
38184207X |
Signatur |
Springer E-Book |
Bemerkungen |
Elektronischer Volltext - Campuslizenz |
Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-94-007-6353-1 |
Internetseite / Link |
Volltext |
Siehe auch |
Volltext |
Siehe auch |
Cover |
Siehe auch |
Inhaltstext |