Geometric Continuum Mechanics and Induced Beam Theories

Simon R. Eugster (Autor)

Buch | Softcover

IX, 146 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-36851-1 (ISBN)

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This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Introduction.- Part I Geometric Continuum Mechanics.- Part II Induced Beam Theories.

"This book presents elements of Geometric continuum Mechanics with application to rod theories. ... the book may be used in courses to the advanced undergraduate students that already have knowledge about the classical beam theories. Also it will be useful to the graduate students of Mechanics and the researchers in Mechanics." (Teodor Atanackovic, zbMATH 1330.74002, 2016)

Erscheinungsdatum	14.10.2016
Reihe/Serie	Lecture Notes in Applied and Computational Mechanics
Zusatzinfo	IX, 146 p. 12 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
Schlagworte	Applications of Beam Theories • Beam Theories • Classical and Continuum Physics • classical mechanics • Continuum Mechanics • Continuum Mechanics and Mechanics of Materials • Engineering • Engineering: general • Foundations of Continuum Mechanics • mechanical engineering • Mechanical engineering and materials • Nonlinear Beam Theories • Structural Mechanics
ISBN-10	3-319-36851-6 / 3319368516
ISBN-13	978-3-319-36851-1 / 9783319368511
Zustand	Neuware