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LEADER 00000cam a2200757 i 4500
003 OCoLC
005 20240129213017.0
006 m o d
007 cr |||||||||||
008 190611t20202020nju ob 001 0 eng
010 2019024518
015 GBC014617|2bnb
016 7 019645952|2Uk
019 1131862736
020 9781119600954|q(electronic book)
020 1119600952|q(electronic book)
020 1119600944|q(electronic book)
020 9781119600923|q(electronic book)
020 1119600928|q(electronic book)
020 9781119600947|q(electronic bk.)
020 |q(hardcover)
020 |q(hardcover)
024 8 16309233
029 1 AU@|b000065816558
029 1 CHNEW|b001077245
029 1 CHVBK|b582552354
029 1 UKMGB|b019645952
029 1 AU@|b000069704339
029 1 AU@|b000072395390
035 (OCoLC)1104907695|z(OCoLC)1131862736
037 9781119600954|bWiley
040 DLC|beng|erda|epn|cDLC|dOCLCO|dOCLCF|dYDX|dEBLCP|dDG1|dYDX
|dYUS|dN$T|dUKMGB|dOCLCQ|dN9V|dS2H|dOCLCO|dOCLCQ|dOCLCO
042 pcc
049 INap
082 00 620.1001/51564
082 00 620.1001/51564|223
099 eBook O'Reilly for Public Libraries
100 1 Taroco, Edgardo O.|q(Edgardo Omar),|d1935-|eauthor.
245 10 Introduction to the variational formulation in mechanics :
|bfundamentals and applications /|cEdgardo O. Taroco,
Pablo J. Blanco, and Raúl A. Feijóo, HeMoLab -
Hemodynamics Modeling Laboratory, LNCC/MCTIC - National
Laboratory for Scientific Computing, Brazil, INCT-MACC -
National Institute of Science and Technology in Medicine
Assisted by Scientific Computing, Brazil.|h[O'Reilly
electronic resource]
250 First edition.
264 1 Hoboken, NJ :|bJohn Wiley & Sons,|c2020.
264 4 |c©2020
300 1 online resource (xvii, 588 pages)
336 text|btxt|2rdacontent
337 computer|bn|2rdamedia
338 online resource|bnc|2rdacarrier
504 Includes bibliographical references and index.
505 0 Intro; Title Page; Copyright Page; Contents; Preface; Part
I Vector and Tensor Algebra and Analysis; Chapter 1 Vector
and Tensor Algebra; 1.1 Points and Vectors; 1.2 Second-
Order Tensors; 1.3 Third-Order Tensors; 1.4 Complementary
Reading; Chapter 2 Vector and Tensor Analysis; 2.1
Differentiation; 2.2 Gradient; 2.3 Divergence; 2.4 Curl;
2.5 Laplacian; 2.6 Integration; 2.7 Coordinates; 2.8
Complementary Reading; Part II Variational Formulations in
Mechanics; Chapter 3 Method of Virtual Power; 3.1
Introduction; 3.2 Kinematics; 3.2.1 Body and Deformations;
3.2.2 Motion: Deformation Rate.
505 8 3.2.3 Motion Actions: Kinematical Constraints3.3 Duality
and Virtual Power; 3.3.1 Motion Actions and Forces; 3.3.2
Deformation Actions and Internal Stresses; 3.3.3
Mechanical Models and the Equilibrium Operator; 3.4 Bodies
without Constraints; 3.4.1 Principle of Virtual Power;
3.4.2 Principle of Complementary Virtual Power; 3.5 Bodies
with Bilateral Constraints; 3.5.1 Principle of Virtual
Power; 3.5.2 Principle of Complementary Virtual Power; 3.6
Bodies with Unilateral Constraints; 3.6.1 Principle of
Virtual Power; 3.6.2 Principle of Complementary Virtual
Power.
505 8 3.7 Lagrangian Description of the Principle of Virtual
Power3.8 Configurations with Preload and Residual
Stresses; 3.9 Linearization of the Principle of Virtual
Power; 3.9.1 Preliminary Results; 3.9.2 Known Spatial
Configuration; 3.9.3 Known Material Configuration; 3.10
Infinitesimal Deformations and Small Displacements; 3.10.1
Bilateral Constraints; 3.10.2 Unilateral Constraints; 3.11
Final Remarks; 3.12 Complementary Reading; Chapter 4
Hyperelastic Materials at Infinitesimal Strains; 4.1
Introduction; 4.2 Uniaxial Hyperelastic Behavior; 4.3
Three-Dimensional Hyperelastic Constitutive Laws.
505 8 4.4 Equilibrium in Bodies without Constraints4.4.1
Principle of Virtual Work; 4.4.2 Principle of Minimum
Total Potential Energy; 4.4.3 Local Equations and Boundary
Conditions; 4.4.4 Principle of Complementary Virtual Work;
4.4.5 Principle of Minimum Complementary Energy; 4.4.6
Additional Remarks; 4.5 Equilibrium in Bodies with
Bilateral Constraints; 4.5.1 Principle of Virtual Work;
4.5.2 Principle of Minimum Total Potential Energy; 4.5.3
Principle of Complementary Virtual Work; 4.5.4 Principle
of Minimum Complementary Energy; 4.6 Equilibrium in Bodies
with Unilateral Constraints.
505 8 4.6.1 Principle of Virtual Work4.6.2 Principle of Minimum
Total Potential Energy; 4.6.3 Principle of Complementary
Virtual Work; 4.6.4 Principle of Minimum Complementary
Energy; 4.7 Min-Max Principle; 4.7.1 Hellinger-Reissner
Functional; 4.7.2 Hellinger-Reissner Principle; 4.8 Three-
Field Functional; 4.9 Castigliano Theorems; 4.9.1 First
and Second Theorems; 4.9.2 Bounds for Displacements and
Generalized Loads; 4.10 Elastodynamics Problem; 4.11
Approximate Solution to Variational Problems; 4.11.1
Elastostatics Problem; 4.11.2 Hellinger-Reissner
Principle.
520 "This book was written intermittently over the period
between 1980 and 2016 with an aim to provide students
attending the courses organized by the authors, and
particularly for the graduate students at the National
Laboratory for Scientific Computing (LNCC), with the
foundational material of Mechanics using a variational
tapestry. It is the result of the knowledge acquired and
divulged by E.O.T and R.A.F. since the LNCC was
established, which was initiated with the creation of the
Laboratory of Computing (LAC) of the Brazilian Center for
Research in Physics (CBPF) in 1977, through the foundation
of the Laboratory for Scientific Computing (LCC) in 1980,
its conversion into the category of a national laboratory
(LNCC) in 1982 and the definitive move to the city of
Petrópolis in 1998"--|cProvided by publisher.
588 0 Online resource; title from digital title page (viewed on
January 23, 2020).
590 O'Reilly|bO'Reilly Online Learning: Academic/Public
Library Edition
650 0 Mechanics, Applied|xMathematics.
650 6 Mécanique appliquée|xMathématiques.
650 7 Mechanics, Applied|xMathematics|2fast
700 1 Blanco, Pablo J.|q(Pablo Javier),|d1979-|eauthor.
700 1 Feijóo, R.|q(Raul),|eauthor.
776 08 |iPrint version:|aTaroco, Edgardo O. (Edgardo Omar), 1935-
|tIntroduction to the variational formulation in
mechanics.|bFirst edition.|dHoboken, NJ : Wiley, 2020
|z9781119600909|w(DLC) 2019024517
856 40 |uhttps://ezproxy.naperville-lib.org/login?url=https://
learning.oreilly.com/library/view/~/9781119600909/?ar
|zAvailable on O'Reilly for Public Libraries
938 ProQuest Ebook Central|bEBLB|nEBL5986244
938 EBSCOhost|bEBSC|n2318937
938 YBP Library Services|bYANK|n300976890
994 92|bJFN