國立高雄大學圖資館 |

Language: English

Back

Fundamentals of the mechanics of solids

Galano, Luciano.

Fundamentals of the mechanics of solids

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fundamentals of the mechanics of solidsby Paolo Maria Mariano, Luciano Galano.
Author:	Mariano, Paolo Maria.
other author:	Galano, Luciano.
Published:	New York, NY :Springer New York :2015.
Description:	xxiii, 422 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematics.
Online resource:	http://dx.doi.org/10.1007/978-1-4939-3133-0
ISBN:	9781493931330$q(electronic bk.)

Fundamentals of the mechanics of solids
Mariano, Paolo Maria.

Fundamentals of the mechanics of solids[electronic resource] /by Paolo Maria Mariano, Luciano Galano. - New York, NY :Springer New York :2015. - xxiii, 422 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9781493931330$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-3133-0doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QC19.2 / .M37 2015

Dewey Class. No.: 519

Fundamentals of the mechanics of solids
LDR:03160nmm a2200325 a 4500 001 476896
003 DE-He213
005 20160412131520.0
006 m d
007 cr nn 008maaau
008 160526s2015 nyu s 0 eng d
020 $a 9781493931330$q(electronic bk.)
020 $a 9781493931323$q(paper)
024 7 $a 10.1007/978-1-4939-3133-0 $2 doi
035 $a 978-1-4939-3133-0
040 $a GP $c GP
041 1 $a eng $h ita
050 4 $a QC19.2 $b .M37 2015
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 519 $2 23
090 $a QC19.2 $b .M333 2015
100 1 $a Mariano, Paolo Maria. $3 277732
240 1 0 $a Eserciziario di Meccanica delle Strutture. $l English
245 1 0 $a Fundamentals of the mechanics of solids $h [electronic resource] / $c by Paolo Maria Mariano, Luciano Galano.
260 $a New York, NY : $b Springer New York : $b Imprint: Birkhauser, $c 2015.
300 $a xxiii, 422 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Mathematics. $3 184409
650 0 $a Mathematical physics. $3 190854
650 0 $a Mechanics. $3 200022
650 0 $a Continuum mechanics. $3 190274
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 273691
700 1 $a Galano, Luciano. $3 731681
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-3133-0
950 $a Mathematics and Statistics (Springer-11649)