Overview
- Comprehensive presentation of the History of Theoretical, Material and Computational Mechanics
- Presents the edited results of the sessions on History of Mechanics held at the last GAMM meetings at Karlsruhe, Germany (2010), Graz, Austria (2011) and Darmstadt, Germany (2012)
- Written by leading experts in the field
Part of the book series: Lecture Notes in Applied Mathematics and Mechanics (LAMM, volume 1)
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Table of contents (23 chapters)
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Mechanical Conservation Principles, Variational Calculus and Engineering Applications from the 17th to the 20th Century
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Material Theories of Solid Continua and Solutions of Engineering Problems
Keywords
About this book
This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.
Editors and Affiliations
Bibliographic Information
Book Title: The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
Editors: Erwin Stein
Series Title: Lecture Notes in Applied Mathematics and Mechanics
DOI: https://doi.org/10.1007/978-3-642-39905-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Softcover ISBN: 978-3-642-39904-6Published: 19 December 2013
eBook ISBN: 978-3-642-39905-3Published: 04 December 2013
Series ISSN: 2197-6724
Series E-ISSN: 2197-6732
Edition Number: 1
Number of Pages: XIV, 490
Number of Illustrations: 231 b/w illustrations, 80 illustrations in colour
Topics: Solid Mechanics, Mathematical and Computational Engineering, History of Mathematical Sciences, Applications of Mathematics