Fundamentals of the Mechanics of Solids
Springer-Verlag New York Inc.
978-1-4939-4718-8 (ISBN)
The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space. Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod. An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics.
Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics. Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.
Prof. Dr. Paolo Maria Mariano teaches Mechanics of Solids and Theoretical Mechanics in the School of Engineering at the University of Florence. He is also coordinator of the Research Group in Theoretical Mechanics of the Mathematics Research Center “E. De Giorgi” of the Scuola Normale Superiore in Pisa. His research interests cover continuum mechanics of simple and complex materials, thermodynamics, applied calculus of variations, and applied differential geometry. Prof. Dr. Luciano Galano is a senior researcher in the School of Engineering at the University of Florence, where he teaches Mechanics of Masonry. His research interests cover the mechanics of masonry structures, the dynamics of structures subjected to earthquakes, the mechanics of concrete, and computational mechanics.
Preface.- Bodies, Deformations, and Strain Measures.- Observers.- Forces, Torques, Balances.- Constitutive Structures.- Basic Aspects.- Topics in Linear Elasticity.- The de Saint-Venant Problem.- Critical Conditions: Yield Criteria.- Rod Models.- The Euler's Analysis of Critical Loads: Bifurcation Phenomena.- Appendix: Tensor Algebra and Tensor Calculus.- Suggestions for Further Reading.- Index.
Erscheinungsdatum | 19.08.2017 |
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Zusatzinfo | XXIII, 422 p. |
Verlagsort | New York |
Sprache | englisch |
Original-Titel | Eserciziario di Meccanica delle Strutture |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Technik ► Maschinenbau | |
Schlagworte | Continuum Mechanics • de Saint-Venant Problem • Elastodynamics • linear elasticity • mechanics of solids • Models of Rods |
ISBN-10 | 1-4939-4718-4 / 1493947184 |
ISBN-13 | 978-1-4939-4718-8 / 9781493947188 |
Zustand | Neuware |
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