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The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering (Paperback, 2014 ed.)
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The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering (Paperback, 2014 ed.)
Series: Lecture Notes in Applied Mathematics and Mechanics, 1
Expected to ship within 10 - 15 working days
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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.
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