000 03711nam a22005175i 4500
001 978-3-642-39905-3
003 DE-He213
005 20140220082520.0
007 cr nn 008mamaa
008 131204s2014 gw | s |||| 0|eng d
020 _a9783642399053
_9978-3-642-39905-3
024 7 _a10.1007/978-3-642-39905-3
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aStein, Erwin.
_eeditor.
245 1 4 _aThe History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
_h[electronic resource] /
_cedited by Erwin Stein.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXIV, 490 p. 311 illus., 80 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied Mathematics and Mechanics,
_x2197-6724 ;
_v1
505 0 _aMechanical Conservation Principles,Variational Calculus and Engineering Applications from the Century -- Material Theories of Solid Continua and Solutions of Engineering Problems -- Theories, Engineering Solutions and Applications in Fluid Dynamics -- Numerical Methods in Solid Mechanics from Engineering Intuition and Variational Calculus.
520 _aThis 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.  
650 0 _aEngineering.
650 0 _aMathematics.
650 0 _aEngineering mathematics.
650 0 _aMaterials.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aHistory of Mathematical Sciences.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642399046
830 0 _aLecture Notes in Applied Mathematics and Mechanics,
_x2197-6724 ;
_v1
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39905-3
912 _aZDB-2-ENG
999 _c93370
_d93370