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

2014
ISBN: 978-3-642-39904-6
Verlag: Springer

Buch, Englisch, Band 1, 490 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 7548 g

Reihe: Lecture Notes in Applied Mathematics and Mechanics

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 17 to the 20century. 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 19and 20century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20 century with many extensions and generalizations.

Zielgruppe

Research

Autoren/Hrsg.

Stein, Erwin

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Technische Wissenschaften Technik Allgemein Technikgeschichte

Inhaltsverzeichnis

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.