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Materials - Mechanics | The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

Stein, Erwin (Ed.)

2014, XIV, 490 p. 311 illus., 80 illus. in color.

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  • 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

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.

 

Content Level » Research

Keywords » Applied Mathematics - Applied Mechanics - History of Computational Mechanics - History of Material Mechanics - History of Theoretical Mechanics

Related subjects » Applications - Computational Intelligence and Complexity - History of Mathematical Sciences - Mechanics

Table of contents 

Mechanical 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.

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