Hamilton's Principle in Continuum Mechanics

This revised and updated edition provides a comprehensive and rigorous description of the application of Hamilton's principle to continuous media, beginning with the first problem of the calculus of variations and discussing the application to systems of particles, fluid and solid mechanics, and recent developments.

Format: Paperback / softback
Length: 104 pages
Publication date: 16 December 2022
Publisher: Springer Nature Switzerland AG

This revised and updated edition offers a comprehensive and rigorous exploration of the application of Hamilton's principle to continuous media. To provide a foundational understanding, it begins by addressing the first problem of the calculus of variations, which serves as an introduction to terminology and initial concepts. For both historical and pedagogical purposes, the book first delves into the application of the principle to systems of particles, encompassing both conservative and non-conservative systems, as well as systems with constraints. The foundations of mechanics of continua are established within the context of inner product spaces, laying the groundwork for subsequent discussions.

Subsequently, the application of Hamilton's principle is extended to classical theories of fluid and solid mechanics, covering topics such as fluid flow, solid deformation, and the principles of thermodynamics. The book also highlights recent developments in the field, including materials with microstructure, mixtures, and continua with singular surfaces.

By presenting a comprehensive and detailed account of the application of Hamilton's principle to continuous media, this revised edition serves as a valuable resource for students, researchers, and practitioners in the field of continuum mechanics.

Weight: 197g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030903084
Edition number: 1st ed. 2021