TY  - BOOK
T1  - The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
T2  - Lecture Notes in Applied Mathematics and Mechanics,
A2  - Stein, Erwin
LA  - English
PP  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg : Imprint: Springer
YR  - 2014
UL  - http://vufind10-pruebas.sigbunlp.bibliotecas.unlp.edu.ar/Record/dfi.28094
AB  - This collection of 23 articles is the output of lectures in special sessions on â_oThe History of Theoretical, Material and Computational Mechanicsâ__ 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 â_oAssociation for Applied Mathematics and Mechanicsâ__, 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 â_" the Finite Element Method â_" in the 20th century with many extensions and generalizations.  .
OP  - 490
CN  - TA405-409.3
SN  - 9783642399053
KW  - Applied mathematics.
KW  - Engineering mathematics.
KW  - Mathematics.
KW  - History.
KW  - Continuum mechanics.
KW  - Engineering.
KW  - Mechanics of Materials.
KW  - Computational Methods of Engineering.
KW  - History of Mathematical Sciences.
KW  - Applications of Mathematics.
ER  -