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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.
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.
Based on the authors' many years of experience teaching courses on the mechanics of solids and what they found to work best for students
Takes a deductive rather than inductive approach and starts from a few first, foundational principles
Exercises organized in a way that will allow students to form a link between abstract mathematical concepts and real-world applications
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 448 |
| Inhalt: |
xxiii
422 S. |
| ISBN-13: | 9781493947188 |
| ISBN-10: | 1493947184 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Galano, Luciano
Mariano, Paolo Maria |
| Auflage: | Softcover reprint of the original 1st ed. 2015 |
| Hersteller: |
Springer US
Springer New York |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Luciano Galano (u. a.) |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,674 kg |
Based on the authors' many years of experience teaching courses on the mechanics of solids and what they found to work best for students
Takes a deductive rather than inductive approach and starts from a few first, foundational principles
Exercises organized in a way that will allow students to form a link between abstract mathematical concepts and real-world applications
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 448 |
| Inhalt: |
xxiii
422 S. |
| ISBN-13: | 9781493947188 |
| ISBN-10: | 1493947184 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Galano, Luciano
Mariano, Paolo Maria |
| Auflage: | Softcover reprint of the original 1st ed. 2015 |
| Hersteller: |
Springer US
Springer New York |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Luciano Galano (u. a.) |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,674 kg |
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