Hamilton's Principle in Continuum Mechanics

1. Auflage 2021
ISBN: 978-3-030-90305-3
Verlag: Springer International Publishing

Buch, Englisch, 104 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 354 g

This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations.  For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.

Zielgruppe

Research

Autoren/Hrsg.

Bedford, Anthony

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

Mechanics of Systems of Particles.- Mathematical Preliminaries.- Mechanics of Continuous Media.- Motions and Comparison Motions of a Mixture.- Singular Surfaces.- Index.

Über Autor(innen)

Dr. Anthony Bedford is Professor Emeritus in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin, USA.