000 06609cam a2200721 i 4500
001 on1104907695
003 OCoLC
005 20220711203540.0
006 m do d |
007 cr |||||||||||
008 190611t20202020nju ob 001 0 eng
010 _a 2019024518
040 _aDLC
_beng
_erda
_epn
_cDLC
_dOCLCO
_dOCLCF
_dYDX
_dEBLCP
_dDG1
_dYDX
_dYUS
_dN$T
_dUKMGB
_dOCLCQ
015 _aGBC014617
_2bnb
016 7 _a019645952
_2Uk
019 _a1131862736
020 _a9781119600954
_q(electronic book)
020 _a1119600952
_q(electronic book)
020 _a1119600944
_q(electronic book)
020 _a9781119600923
_q(electronic book)
020 _a1119600928
_q(electronic book)
020 _a9781119600947
_q(electronic bk.)
020 _z9781119600909
_q(hardcover)
020 _z1119600901
_q(hardcover)
024 8 _a16309233
029 1 _aAU@
_b000065816558
029 1 _aCHNEW
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029 1 _aCHVBK
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029 1 _aUKMGB
_b019645952
035 _a(OCoLC)1104907695
_z(OCoLC)1131862736
037 _a9781119600954
_bWiley
042 _apcc
050 0 4 _aTA350
_b.T35 2020
082 0 0 _a620.1001/51564
_223
049 _aMAIN
100 1 _aTaroco, Edgardo O.
_q(Edgardo Omar),
_d1935-
_eauthor.
_98700
245 1 0 _aIntroduction 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.
250 _aFirst edition.
264 1 _aHoboken, NJ :
_bJohn Wiley & Sons,
_c2020.
264 4 _c©2020
300 _a1 online resource (xvii, 588 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bn
_2rdamedia
338 _aonline resource
_bnc
_2rdacarrier
504 _aIncludes bibliographical references and index.
520 _a"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.
505 8 _aIntro; 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 _a3.2.3 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 _a3.7 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 _a4.4 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 _a4.6.1 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
588 0 _aOnline resource; title from digital title page (viewed on January 23, 2020).
590 _aJohn Wiley and Sons
_bWiley Frontlist Obook All English 2020
650 0 _aMechanics, Applied
_xMathematics.
_93267
650 7 _aMechanics, Applied
_xMathematics.
_2fast
_0(OCoLC)fst01013494
_93267
655 4 _aElectronic books.
_93294
700 1 _aBlanco, Pablo J.
_q(Pablo Javier),
_d1979-
_eauthor.
_98701
700 1 _aFeijóo, R.
_q(Raul),
_eauthor.
_98702
776 0 8 _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 4 0 _uhttps://doi.org/10.1002/9781119600923
_zWiley Online Library
942 _cEBK
994 _a92
_bDG1
999 _c69177
_d69177