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Advances in Computational Dynamics of Particles, Materials and Structures : (Record no. 98206)

000 -LEADER
fixed length control field	13424nam a22005293i 4500
001 - CONTROL NUMBER
control field	EBC945184
003 - CONTROL NUMBER IDENTIFIER
control field	MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20181121163412.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field	m o d \|
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr cnu\|\|\|\|\|\|\|\|
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	181113s2012 xx o \|\|\|\|0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9781119965909
--	(electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN	9780470749807
035 ## - SYSTEM CONTROL NUMBER
System control number	(MiAaPQ)EBC945184
035 ## - SYSTEM CONTROL NUMBER
System control number	(Au-PeEL)EBL945184
035 ## - SYSTEM CONTROL NUMBER
System control number	(CaPaEBR)ebr10575640
035 ## - SYSTEM CONTROL NUMBER
System control number	(CaONFJC)MIL368885
035 ## - SYSTEM CONTROL NUMBER
System control number	(OCoLC)796383248
040 ## - CATALOGING SOURCE
Original cataloging agency	MiAaPQ
Language of cataloging	eng
Description conventions	rda
--	pn
Transcribing agency	MiAaPQ
Modifying agency	MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	TA352 -- .H365 2012eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	531/.163
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Har, Jason.
245 10 - TITLE STATEMENT
Title	Advances in Computational Dynamics of Particles, Materials and Structures :
Remainder of title	A Unified Approach.
250 ## - EDITION STATEMENT
Edition statement	2nd ed.
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc	New York :
Name of publisher, distributor, etc	John Wiley & Sons, Incorporated,
Date of publication, distribution, etc	2012.
264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc	©2010.
300 ## - PHYSICAL DESCRIPTION
Extent	1 online resource (712 pages)
336 ## - CONTENT TYPE
Content type term	text
Content type code	txt
Source	rdacontent
337 ## - MEDIA TYPE
Media type term	computer
Media type code	c
Source	rdamedia
338 ## - CARRIER TYPE
Carrier type term	online resource
Carrier type code	cr
Source	rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	Intro -- Advances in Computational Dynamics of Particles, Materials and Structures -- Contents -- Preface -- Acknowledgments -- About the Authors -- Chapter 1 Introduction -- 1.1 Overview -- 1.1.1 The Mechanics Underlying Computational Dynamics -- 1.1.2 The Numerics Underlying Computational Dynamics in Space and Time -- 1.2 Applications -- Chapter 2 Mathematical Preliminaries -- 2.1 Sets and Functions -- 2.1.1 Sets -- 2.1.2 Functions -- 2.2 Vector Spaces -- 2.2.1 Real Vector Spaces -- 2.2.2 Linear Dependence and Independence of Vectors -- 2.2.3 Euclidean n-Space -- 2.2.4 Inner Product Space -- 2.2.5 Metric Spaces -- 2.2.6 Normed Space -- 2.3 Matrix Algebra -- 2.3.1 Determinant of a Coefficient Matrix -- 2.3.2 Matrix Multiplication -- 2.4 Vector Differential Calculus -- 2.4.1 Scalar-Valued Functions of Multivariables -- 2.4.2 Vector-Valued Functions of Multivariables -- 2.5 Vector Integral Calculus -- 2.5.1 Green's Theorem in the Plane -- 2.5.2 Gauss's Theorem -- 2.6 Mean Value Theorem -- 2.6.1 Scalar Function of a Real Variable -- 2.6.2 Scalar Function of Multivariables -- 2.6.3 Vector Function of Multivariables -- 2.7 Function Spaces -- 2.7.1 Inner Product Space -- 2.7.2 Normed Space -- 2.7.3 Metric Space -- 2.7.4 Lebesgue Space -- 2.7.5 Banach Space -- 2.7.6 Sobolev Space -- 2.7.7 Hilbert Space -- 2.8 Tensor Analysis -- 2.8.1 Tensor Algebra -- 2.8.2 Tensor Differential Calculus -- 2.8.3 Tensor Integral Calculus -- Exercises -- Part 1 N-Body Dynamical Systems -- Chapter 3 Classical Mechanics -- 3.1 Newtonian Mechanics -- 3.1.1 Newton's Laws of Motion -- 3.1.2 Newton's Equations of Motion -- 3.2 Lagrangian Mechanics -- 3.2.1 Constraints -- 3.2.2 Lagrangian Form of D'Alembert's Principle -- 3.2.3 Configuration Space -- 3.2.4 Generalized Coordinates -- 3.2.5 Tangent Bundle -- 3.2.6 Lagrange's Equations of Motion.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	3.2.7 Kinetic Energy in Generalized Coordinates -- 3.2.8 Lagrange Multiplier Method -- 3.2.9 Autonomous Lagrangian Systems -- 3.3 Hamiltonian Mechanics -- 3.3.1 Phase Space -- 3.3.2 Canonical Coordinates -- 3.3.3 Cotangent Bundle -- 3.3.4 Legendre Transformation -- 3.3.5 Hamilton's Equations of Motion -- 3.3.6 Autonomous Hamiltonian Systems -- 3.3.7 Symplectic Manifold -- Exercises -- Chapter 4 Principle of Virtual Work -- 4.1 Virtual Work in N-Body Dynamical Systems -- 4.2 Vector Formalism: Newtonian Mechanics in N-Body Dynamical Systems -- 4.3 Scalar Formalisms: Lagrangian and Hamiltonian Mechanics in N-Body Dynamical Systems -- Exercises -- Chapter 5 Hamilton's Principle and Hamilton's Law of Varying Action -- 5.1 Introduction -- 5.2 Variation of the Principal Function -- 5.3 Calculus of Variations -- 5.4 Hamilton's Principle -- 5.5 Hamilton's Law of Varying Action -- 5.5.1 Newtonian Mechanics -- 5.5.2 Lagrangian Mechanics -- 5.5.3 Hamiltonian Mechanics -- Exercises -- Chapter 6 Principle of Balance of Mechanical Energy -- 6.1 Introduction -- 6.2 Principle of Balance of Mechanical Energy -- 6.3 Total Energy Representations and Framework in the Differential Calculus Setting -- 6.3.1 Principle of Balance of Mechanical Energy: Conservative System -- 6.3.2 Principle of Balance of Mechanical Energy: Nonconservative System -- 6.3.3 Newtonian Dynamical System: With/Without Constraints -- 6.3.4 Lagrangian Dynamical System: Nonconservative/Conservative Systems - Descriptive Scalar Function, the Lagrangian -- 6.3.5 Hamiltonian Dynamical System: Nonconservative Systems - Descriptive Scalar Function, the Hamiltonian -- 6.4 Appendix: Total Energy Representations and Framework in the Variational Calculus Setting -- 6.4.1 Total Energy Representation of the Equation of Motion via the Lagrangian Form of D'Alembert's Principle/Principle of Virtual Work.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	6.4.2 Total Energy Representation of Equation of Motion via Hamilton's Principle/Hamilton's Law of Varying Action -- Exercises -- Chapter 7 Equivalence of Equations -- 7.1 Equivalence in the Lagrangian Form of D'Alembert's Principle/Principle of Virtual Work -- 7.2 Equivalence in Hamilton's Principle or Hamilton's Law of Varying Action -- 7.3 Equivalence in the Principle of Balance of Mechanical Energy -- 7.4 Equivalence Relations Between Governing Equations -- 7.5 Conservation Laws -- 7.6 Noether's Theorem -- Exercises -- Part 2 Continuous-Body Dynamical Systems -- Chapter 8 Continuum Mechanics -- 8.1 Displacements, Strains and Stresses -- 8.1.1 Configuration Space -- 8.1.2 Riemannian Metrics -- 8.1.3 Infinitesimal Differential Volume -- 8.1.4 Displacements and Strains -- 8.1.5 Stresses -- 8.2 General Principles -- 8.2.1 Gauss's Theorem -- 8.2.2 Reynolds Transport Theorem -- 8.2.3 Principle of Conservation of Mass -- 8.2.4 Principle of Balance of Linear Momentum -- 8.2.5 Principle of Balance of Angular Momentum -- 8.2.6 Principle of Balance of Energy -- 8.2.7 Principle of Entropy Inequality -- 8.3 Constitutive Equations in Elasticity -- 8.3.1 Cauchy Elastic Material -- 8.3.2 Hyperelastic Material -- 8.3.3 Hypoelastic Material -- 8.3.4 Material Frame-Indifference: Objectivity -- 8.3.5 Objective Stress Rates -- 8.4 Virtual Work and Variational Principles -- 8.4.1 Virtual Work and Potential Energy -- 8.4.2 Principle of Virtual Work -- 8.4.3 Principle of Virtual Power -- 8.4.4 Principle of Stationary Potential Energy -- 8.4.5 Principle of Complementary Virtual Work -- 8.4.6 Principle of Stationary Complementary Energy -- 8.4.7 Hu-Washizu Variational Principle -- 8.4.8 Hellinger-Reissner Variational Principle -- 8.5 Direct Variational Methods for Two-Point Boundary-Value Problems -- 8.5.1 Rayleigh-Ritz Method.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	8.5.2 Bubnov-Galerkin Weighted Residual Method -- 8.5.3 Modified Bubnov-Galerkin Weighted-Residual Method -- 8.5.4 Equivalence of the Ritz and the Galerkin Methods -- Exercises -- Chapter 9 Principle of Virtual Work: Finite Elements and Solid/ Structural Mechanics -- 9.1 Introduction -- 9.1.1 Vector Formalism: Cauchy's Equations of Motion, Principle of Virtual Work, and Finite Element Formulations in Continuous-Body Dynamical Systems -- 9.2 Finite Element Library -- 9.2.1 One-Dimensional Continuum: Axial Bar Element -- 9.2.2 Two-Dimensional Continuum: Triangular Element -- 9.2.3 Two-Dimensional Continuum: Quadrilateral Element -- 9.2.4 Three-Dimensional Continuum: Tetrahedral Element -- 9.2.5 Three-Dimensional Continuum: Hexahedral Element -- 9.2.6 Structural Member: Euler-Bernoulli Beam Element -- 9.2.7 Structural Member: Timoshenko Beam Element -- 9.2.8 Structural Member: Kirchhoff-Love Plate Element -- 9.2.9 Structural Member: Reissner-Mindlin Plate Element -- 9.3 Nonlinear Finite Element Formulations -- 9.3.1 Total Lagrangian Formulation -- 9.3.2 Updated Lagrangian Formulation -- 9.4 Scalar Formalisms: Lagrangian and Hamiltonian Mechanics and Finite Element Formulations in Continuous-Body Dynamical Systems -- Exercises -- Chapter 10 Hamilton's Principle and Hamilton's Law of Varying Action: Finite Elements and Solid/Structural Mechanics -- 10.1 Introduction -- 10.2 Hamilton's Principle and Hamilton's Law of Varying Action in Elastodynamics -- 10.3 Lagrangian Mechanics Framework and Finite Element Formulations -- 10.3.1 Lagrangian Density Equations of Motion -- 10.3.2 Space-Discrete Lagrangian Finite Element Formulation -- 10.4 Hamiltonian Mechanics Framework and Finite Element Formulations -- 10.4.1 Hamiltonian Density Equations of Motion -- 10.4.2 Space-Discrete Hamiltonian Finite Element Formulation -- Exercises.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	Chapter 11 Principle of Balance of Mechanical Energy: Finite Elements and Solid/Structural Mechanics -- 11.1 Introduction -- 11.2 Total Energy Representations and Framework in the Differential Calculus Setting and Finite Element Formulations -- 11.2.1 Principle of Balance of Mechanical Energy/Theorem of Power Expended: Nonconservative System -- 11.2.2 Principle of Balance of Mechanical Energy: Conservative System and Total Energy Density Equations of Motion -- 11.2.3 Space-Discrete Total Energy Finite Element Formulation -- 11.3 Lagrangian Mechanics Framework in the Differential Calculus Setting and Finite Element Formulations -- 11.3.1 Lagrangian Density Equations of Motion -- 11.3.2 Space-Discrete Lagrangian Finite Element Formulation -- 11.4 Hamiltonian Mechanics Framework in the Differential Calculus Setting and Finite Element Formulations -- 11.4.1 Hamiltonian Density Equations of Motion -- 11.4.2 Space-Discrete Hamiltonian Finite Element Formulation -- 11.5 Appendix: Total Energy Representations and Framework in the Variational Calculus Setting and Finite Element Formulations -- 11.5.1 Infinite Dimensional Total Energy Structure -- 11.5.2 Total Energy Density Representation of the Equation of Motion -- 11.5.3 Space-Discrete Total Energy Finite Element Formulation -- Exercises -- Chapter 12 Equivalence of Equations -- 12.1 Equivalence in the Principle of Virtual Work in Dynamics -- 12.2 Equivalence in Hamilton's Principle or Hamilton's Law of Varying Action -- 12.3 Equivalence in the Principle of Balance of Mechanical Energy -- 12.4 Equivalence of Strong and Weak Forms for Initial Boundary-Value Problems -- 12.5 Equivalence of the Semi-Discrete Finite Element Equations of Motion -- 12.6 Equivalence of Finite Element Formulations -- 12.7 Conservation Laws -- Exercises -- Part 3 The Time Dimension.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	Chapter 13 Time Discretization of Equations of Motion: Overview and Conventional Practices.
520 ## - SUMMARY, ETC.
Summary, etc	Computational methods for the modeling and simulation of the dynamic response and behavior of particles, materials and structural systems have had a profound influence on science, engineering and technology. Complex science and engineering applications dealing with complicated structural geometries and materials that would be very difficult to treat using analytical methods have been successfully simulated using computational tools. With the incorporation of quantum, molecular and biological mechanics into new models, these methods are poised to play an even bigger role in the future. Advances in Computational Dynamics of Particles, Materials and Structures not only presents emerging trends and cutting edge state-of-the-art tools in a contemporary setting, but also provides a unique blend of classical and new and innovative theoretical and computational aspects covering both particle dynamics, and flexible continuum structural dynamics applications.  It provides a unified viewpoint and encompasses the classical Newtonian, Lagrangian, and Hamiltonian mechanics frameworks as well as new and alternative contemporary approaches and their equivalences in [start italics]vector and scalar formalisms[end italics] to address the various problems in engineering sciences and physics. Highlights and key features  Provides practical applications, from a unified perspective, to both particle and continuum mechanics of flexible structures and materials Presents new and traditional developments, as well as alternate perspectives, for space and time discretization  Describes a unified viewpoint under the umbrella of Algorithms by Design for the class of linear multi-step methods Includes fundamentals underlying the theoretical aspects and numerical developments, illustrative applications and practice exercises The completeness and breadth and depth of
520 8# - SUMMARY, ETC.
Summary, etc	coverage makes Advances in Computational Dynamics of Particles, Materials and Structures a valuable textbook and reference for graduate students, researchers and engineers/scientists working in the field of computational mechanics; and in the general areas of computational sciences and engineering.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note	Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note	Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Dynamics -- Data processing.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Dynamics.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term	Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Tamma, Kumar.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Print version:
Main entry heading	Har, Jason
Title	Advances in Computational Dynamics of Particles, Materials and Structures : A Unified Approach
Place, publisher, and date of publication	New York : John Wiley & Sons, Incorporated,c2012
International Standard Book Number	9780470749807
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element	ProQuest (Firm)
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	<a href="https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=945184">https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=945184</a>
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