國立虎尾科技大學 |

Fundamentals of the Mechanics of Solids

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fundamentals of the Mechanics of Solids/ by Paolo Maria Mariano, Luciano Galano.
作者:	Mariano, Paolo Maria.
其他作者:	Galano, Luciano.
面頁冊數:	XXIII, 422 p. 235 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-1-4939-3133-0
ISBN:	9781493931330

Fundamentals of the Mechanics of Solids
Mariano, Paolo Maria.

Fundamentals of the Mechanics of Solids[electronic resource] /by Paolo Maria Mariano, Luciano Galano. - 1st ed. 2015. - XXIII, 422 p. 235 illus.online resource.

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

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

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 519

Fundamentals of the Mechanics of Solids
LDR:03487nam a22003975i 4500 001 962831
003 DE-He213
005 20200629222701.0
007 cr nn 008mamaa
008 201211s2015 xxu| s |||| 0|eng d
020 $a 9781493931330 $9 978-1-4939-3133-0
024 7 $a 10.1007/978-1-4939-3133-0 $2 doi
035 $a 978-1-4939-3133-0
050 4 $a QC19.2-20.85
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
082 0 4 $a 519 $2 23
100 1 $a Mariano, Paolo Maria. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 680111
245 1 0 $a Fundamentals of the Mechanics of Solids $h [electronic resource] / $c by Paolo Maria Mariano, Luciano Galano.
250 $a 1st ed. 2015.
264 1 $a New York, NY : $b Springer New York : $b Imprint: Birkhäuser, $c 2015.
300 $a XXIII, 422 p. 235 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Mathematical physics. $3 527831
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 1 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Classical Mechanics. $3 1140387
700 1 $a Galano, Luciano. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1069784
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781493931323
776 0 8 $i Printed edition: $z 9781493931347
776 0 8 $i Printed edition: $z 9781493947188
856 4 0 $u https://doi.org/10.1007/978-1-4939-3133-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)