Fundamentals of the Mechanics of Solids / by Paolo Maria Mariano, Luciano Galano.

Format:

Book

Author/Creator:

Mariano, Paolo Maria., Author.

Galano, Luciano, Author.

Language:

English

Subjects (All):

Mathematical physics.

Mechanics, Applied.

Solids.

Mechanics.

Mathematical Physics.

Solid Mechanics.

Classical Mechanics.

Local Subjects:

Mathematical Physics.

Solid Mechanics.

Classical Mechanics.

Physical Description:

1 online resource (XXIII, 422 p. 235 illus.)

Edition:

1st ed. 2015.

Place of Publication:

New York, NY : Springer New York : Imprint: Birkhäuser, 2015.

Language Note:

English

Summary:

This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications. 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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

1-4939-3133-4

OCLC:

1076232891