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The Resource Fundamentals of the Mechanics of Solids, by Paolo Maria Mariano, Luciano Galano, (electronic resource)

Fundamentals of the Mechanics of Solids, by Paolo Maria Mariano, Luciano Galano, (electronic resource)

Creator
Author
Contributor
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
Language
eng
Work
Publication
Edition
1st ed. 2015.
Extent
XXIII, 422 p. 235 illus.
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
Isbn
9781493931330
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-3133-0
Instance
Label
Fundamentals of the Mechanics of Solids
Title
Fundamentals of the Mechanics of Solids
Statement of responsibility
by Paolo Maria Mariano, Luciano Galano
Creator
Contributor
Author
Subject
Language
eng
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
Member of
http://library.link/vocab/creatorName
Mariano, Paolo Maria
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Galano, Luciano.
  • SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical physics
  • Mechanics
  • Continuum mechanics
Label
Fundamentals of the Mechanics of Solids, by Paolo Maria Mariano, Luciano Galano, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-3133-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-1-4939-3133-0
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XXIII, 422 p. 235 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493931330
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-3133-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1048164635
Label
Fundamentals of the Mechanics of Solids, by Paolo Maria Mariano, Luciano Galano, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-3133-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-1-4939-3133-0
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XXIII, 422 p. 235 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493931330
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-3133-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1048164635

Subject

Member of

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