Skip to main content Accessibility help
×
  • Cited by 22
    • 2nd edition
      Show more authors
    • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      December 2011
      ISBN:
      9781139059992
      9781107016026
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.78kg, 340 Pages
      Dimensions:
      Weight & Pages:
    You may already have access via personal or institutional login
  • Selected: Digital
    Add to cart View cart Buy from Cambridge.org

    Book description

    This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    ×

    Contents

    References
    Abbas, L.K.Rui, X.Hammoudi, Z.S. 2010 Plate/Shell Element of Variable Thickness Based on the Absolute Nodal Coordinate FormulationIMechE Journal of Multibody Dynamics 224 127
    Agrawal, O.P.Shabana, A. 1985 Dynamic Analysis of Multi-Body Systems Using Component ModesComputers and Structures 21 1303
    Aris, R. 1962 Vectors, Tensors, and the Basic Equations of Fluid MechanicsDover PublicationsNew York
    Atkinson, K.E. 1978 An Introduction to Numerical AnalysisJohn Wiley & Sons
    Bathe, K.J. 1996 Finite Element ProceduresEnglewood CliffsNew Jersey
    Bauchau, O.A.Damilano, G.Theron, N.J. 1995 Numerical Integration of Nonlinear Elastic Multi-Body SystemsInternational Journal for Numerical Methods in Engineering 38 2727
    Bauchau, O.A. 1998 Computational Schemes for Flexible, Nonlinear Multi-Body SystemsMultibody System Dynamics 2 169
    Bauchau, O.A.Bottasso, C.L.Trainelli, L. 2003 Robust Integration Schemes for Flexible Multibody SystemsComputer Methods in Applied Mechanics and Engineering 192 395
    Bayo, E.García de Jalón, J.Serna, M.A. 1988 A Modified Lagrangian Formulation for the Dynamic Analysis of Constrained Mechanical SystemsComputer Methods in Applied Mechanics and Engineering 71 183
    Belytschko, T.Liu, W.K.Moran, B. 2000 Nonlinear Finite Elements for Continua and StructuresJohn Wiley & SonsNew York
    Berzeri, M.Shabana, A.A. 2000 Development of Simple Models for the Elastic Forces in the Absolute Nodal Coordinate FormulationSound and Vibration 235 539
    Berzeri, M.Shabana, A.A. 2002 Study of the Centrifugal Stiffening Effect Using the Finite Element Absolute Nodal Coordinate FormulationMultibody System Dynamics 7 357
    Betsch, P.Steinmann, E. 2001 Constrained Integration of Rigid Body DynamicsComputer Methods in Applied Mechanics and Engineering 191 467
    Betsch, P.Steinmann, P. 2002 A DAE Approach to Flexible Multibody DynamicsMultibody System Dynamics 8 367
    Betsch, P.Steinmann, P. 2002 Frame-Indifferent Beam Finite Element Based upon the Geometrically Exact Beam TheoryInternational Journal of Numerical Methods in Engineering 54 1775
    Bonet, J.Wood, R.D. 1997 Nonlinear Continuum Mechanics for Finite Element AnalysisCambridge University Press
    Boresi, A.P.Chong, K.P. 2000 Elasticity in Engineering MechanicsJohn Wiley & Sons
    Bottasso, C.L.Borri, M. 1997 Energy Preserving/Decaying Schemes for Non-Linear Beam Dynamics Using the Helicoidal ApproximationComputer Methods in Applied Mechanics and Engineering 143 393
    Bottasso, C.L.Borri, M.Trainelli, L. 2001 Integration of Elastic Multibody Systems by Invariant Conserving/Dissipating Algorithms. Part I: FormulationComputer Methods in Applied Mechanics and Engineering 190 3669
    Bottasso, C.L.Borri, M.Trainelli, L. 2001 Integration of Elastic Multibody Systems by Invariant Conserving/Dissipating Algorithms. Part II: Numerical Schemes and ApplicationsComputer Methods in Applied Mechanics and Engineering 190 3701
    Bridgman, P. 1949 The Physics of High PressureBell and SonsLondon
    Campanelli, M.Berzeri, M.Shabana, A.A. 2000 Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody ProblemsASME Journal of Mechanical Design 122 498
    Cardona, A.Géradin, M. 1988 A Beam Finite Element Non-Linear Theory with Finite RotationInternational Journal for Numerical Methods in Engineering 26 2403
    Cardona, A.Géradin, M. 1989 Time Integration of the Equations of Motion in Mechanism AnalysisComputers and Structures 33 801
    Cardona, A.Géradin, M. 1992 A Superelement Formulation for Mechanism AnalysisComputer Methods in Applied Mechanics and Engineering 100 1
    Carnahan, B.Luther, H.A.Wilkes, J.O. 1969 Applied Numerical MethodsJohn Wiley & Sons
    Cesnik, C.E.S.Hodges, D.H.Sutyrin, V.G. 1996 Cross-Sectional Analysis of Composite Beams Including Large Initial Twist and Curvature EffectsAIAA Journal 34 1913
    Chung, J.Hulbert, G.M. 1993 A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: The Generalized-α MethodJournal of Applied Mechanics 60 371
    Cook, R.D.Malkus, D.S.Plesha, M.E. 1989 Concepts and Applications of Finite Element AnalysisJohn Wiley & Sons
    Cottrell, J.A.Hughes, T.J.R.Reali, A. 2007 Studies of Refinement and Continuity in the Isogeometric AnalysisComputational Methods in Applied Mechanical Engineering 196 4160
    Crisfield, M.A. 1991 Nonlinear Finite Element Analysis of Solids and StructuresJohn Wiley & Sons
    Crisfield, M.A.Jelenic, G. 1999 Objectivity of Strain Measures in the Geometrically Exact Three-Dimensional Beam Theory and its Finite Element ImplementationProc. R. Soc. Lond. A 455 1125
    Dierckx, P. 1993 Curve and Surface Fitting with SplinesOxford University PressNY
    Dmitrochenko, O.N.Pogorelov, D.Y. 2003 Generalization of Plate Finite Elements for Absolute Nodal Coordinate FormulationMultibody System Dynamics 10 17
    Dufva, K.Shabana, A.A. 2005 Analysis of Thin Plate Structure Using the Absolute Nodal Coordinate FormulationIMechE Journal of Multi-body Dynamics 219 345
    Farhat, C.Crivelli, L.Géradin, M. 1995 Implicit Time Integration of a Class of Constrained Hybrid Formulations – Part I: Spectral Stability TheoryComputer Methods in Applied Mechanics and Engineering 125 71
    Farhat, C.H.Roux, F.X. 1991 A Method of Finite Element Tearing and Interconnecting and its Parallel Solution AlgorithmInternational Journal for Numerical Methods in Engineering 32 1205
    Farhat, C.H.Roux, F.X. 1994 Implicit Parallel Processing in Structural MechanicsComputational Mechanics Advances 2 1
    Farhat, C.H.Wilson, E. 1988 A Parallel Active Column Equation SolverComputers and Structures 28 289
    Farin, G. 1999 Curves and Surfaces for CAGDMorgan Kaufmann PublishersSan Francisco
    García de Jalón, J.Unda, J.Avello, A.Jiménez, J.M. 1987 Dynamic Analysis of Three-Dimensional Mechanisms in ‘Natural’ CoordinatesJournal of Mechanisms, Transmissions, and Automation in Design 109 460
    Garcia-Vallejo, D.Escalona, J.L.Mayo, J.Dominguez, J. 2003 Describing Rigid-Flexible Multibody Systems Using Absolute CoordinatesNonlinear Dynamics 34 75
    Garcia-Vallejo, D.Mayo, J.Escalona, J.L.Dominguez, J. 2004 Efficient Evaluation of the Elastic Forces and the Jacobian in the Absolute Nodal Coordinate FormulationNonlinear Dynamics 35 313
    Garcia-Vallejo, D.Valverde, J.Dominguez, J. 2005 An Internal Damping Model for the Absolute Nodal Coordinate FormulationNonlinear Dynamics 42 347
    Geradin, M.Cardona, A. 2001 Flexible Multibody DynamicsJohn Wiley & Sons
    Gerstmayr, J.Shabana, A.A. 2006 Analysis of Thin Beams and Cables Using the Absolute Nodal Coordinate FormulationNonlinear Dynamics 45 109
    Goetz, A. 1970 Introduction to Differential GeometryAddison Wesley
    Goldenweizer, A. 1961 Theory of Thin Elastic ShellsPergamon PressOxford, United Kingdom
    Goldstein, H. 1950 Classical MechanicsAddison-Wesley
    Greenwood, D.T. 1988 Principles of DynamicsPrentice Hall
    Hamed, A.M.Shabana, A.A.Jayakumar, P.Letherwood, M.D. 2011
    Hilber, H.M.Hughes, T.J.R.Taylor, R.L. 1977 Improved Numerical Dissipation for Time Integration Algorithms in Structural DynamicsEarthquake Engineering and Structural Dynamics 5 282
    Holzapfel, G.A. 2000 Nonlinear Solid Mechanics: A Continuum Approach for EngineeringJohn Wiley & Sons
    Hughes, T.J.R. 1984 Numerical Implementation of Constitutive Models: Rate Independent Deviatoric PlasticityTheoretical Foundation for Large Scale Computations of Nonlinear Material BehaviorNemat-Nasser, S.Asaro, R.Hegemier, G.Martinus Nijhoff Publishers, DordrechtThe Netherlands29
    Hughes, T.J.R.Cottrell, J.A.Bazilevs, Y. 2005 Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh RefinementComputational Methods in Applied Mechanical Engineering 194 4135
    Hulbert, G.M. 2004 Computational Structural DynamicsEncyclopedia of Computational MechanicsStein, E.de Borst, R.Hughes, T.J.R. 2 169
    Hussein, B.A.Sugiyama, H.Shabana, A.A. 2007 Coupled Deformation Modes in the Large Deformation Finite Element Analysis: Problem DefinitionASME Journal of Computational and Nonlinear Dynamics 2 146
    Ibrahimbegovic, A.Mamouri, S. 1998 Finite Rotations in Dynamics of Beams and Implicit Time-Stepping SchemesInternational Journal of Numerical Methods in Engineering 41 781
    Ibrahimbegovic, A.Mamour, S.Taylor, R.L.Chen, A.J. 2000 Finite Element Method in Dynamics of Flexible Multibody Systems: Modeling of Holonomic Constraints and Energy Conserving Integration SchemesMulti-body System Dynamics 4 195
    Jelenic, G.Crisfield, M.A. 1998 Interpolation of Rotational Variables in Non-Linear Dynamics of 3D BeamsInternational Journal of Numerical Methods in Engineering 43 1193
    Jelenic, G.Crisfield, M.A. 2001 Dynamic Analysis of 3D Beams with Joints in Presence of Large RotationsComputer Methods in Applied Mechanics and Engineering 190 4195
    Kaplan, W. 1991 Advanced CalculusAddison-WesleyReading, MA
    Khan, A.S.Huang, S. 1995 Continuum Theory of PlasticityJohn Wiley & Sons
    Kim, S.S.Vanderploeg, M.J. 1986 Decomposition for State Space Representation of Constrained Mechanical Dynamic SystemsASME Journal of Mechanisms, Transmissions, and Automation in Design 108 183
    Kreyszig, E. 1991 Differential GeometryDover Publications
    Lan, P.Shabana, A.A. 2010 Integration of B-Spline Geometry and ANCF Finite Element AnalysisNonlinear Dynamics193
    Leyendecker, S.Betsch, P.Steinmann, P. 2004 Energy-Conserving Integration of Constrained Hamiltonian Systems – A Comparison of ApproachesComputational Mechanics 33 174
    Leyendecker, S.Betsch, P.Steinmann, P. 2006 Objective Energy-Momentum Conserving Integration for Constrained Dynamics of Geometrically Exact BeamsComputer Methods in Applied Mechanics and Engineering 195 2313
    Mikkola, A.M.Matikainen, M.K. 2006 Development of Elastic Forces for the Large Deformation Plate Element Based on the Absolute Nodal Coordinate FormulationASME Journal of Computational and Nonlinear Dynamics 1 103
    Mikkola, A.M.Shabana, A.A. 2003 A Non-Incremental Finite Element Procedure for the Analysis of Large Deformation of Plates and Shells in Mechanical System ApplicationsMultibody System Dynamics 9 283
    Milner, H.R. 1981 Accurate Finite Element Analysis of Large Displacements in Skeletal FramesComputers & Structures 14 205
    Naghdi, P.M. 1972 The Theory of Shells and PlatesHandbuch der Physik 6 425
    Ogden, R.W. 1984 Non-Linear Elastic DeformationsDover Publications
    Omar, M.A.Shabana, A.A. 2001 A Two-Dimensional Shear Deform-able Beam for Large Rotation and Deformation ProblemsJ. Sound Vibration 243 565
    Ortiz, M.Popov, E.P. 1985 Accuracy and Stability of Integration Algorithms for Elastoplastic Constitutive EquationsInternational Journal for Numerical Methods in Engineering 21 1561
    Piegl, L.Tiller, W. 1997 The NURBS BookSpringer-VerlagNew York
    Rice, J.R.Tracey, D.M. 1973 Computational Fracture MechanicsProceedings of the Symposium on Numerical Methods in Structural MechanicsFenves, S.J.Academic PressUrbana, IL
    Roberson, R.E.Schwertassek, R. 1988 Dynamics of Multibody SystemsSpringer-Verlag
    Rogers, D.F. 2001 An Introduction to NURBS with Historical PerspectiveAcademic PressSan Diego, CA
    Romero, I. 2006 A Study of Nonlinear Rod Models for Flexible Multibody DynamicsProceedings of the Seventh World Congress on Computational MechanicsLos Angeles, CA
    Romero, I.Armero, F. 2002 Numerical Integration of the Stiff Dynamics of Geometrically Exact Shells: An Energy-Dissipative Momentum-Conserving SchemeInternational Journal of Numerical Methods in Engineering 54 1043
    Romero, I.Armero, F. 2002 An Objective Finite Element Approximation of the Kinematics of Geometrically Exact Rods and its Use in the Formulation of an Energy-Momentum Scheme in DynamicsInternational Journal of Numerical Methods in Engineering 54 1683
    Schwab, A.L.Meijaard, J.P. 2005 Proceedings of the ASME 2005 International Design Engineering Technical Conferences & Computer and Information in Engineering Conference
    Sanborn, G.G.Shabana, A.A. 2009 On the Integration of Computer-Aided Design and Analysis Using the Finite Element Absolute Nodal Coordinate FormulationMultibody System Dynamics 22 181
    Shabana, A. 1985 Automated Analysis of Constrained Inertia-Variant Flexible SystemsASME Journal of Vibration, Acoustics, Stress, and Reliability in Design 107 431
    Shabana, A.A. 1982 Dynamics of Large Scale Flexible Mechanical SystemsUniversity of IowaIowa City
    Shabana, A.A. 1996 Finite Element Incremental Approach and Exact Rigid Body InertiaASME Journal of Mechanical Design 118 171
    Shabana, A.A. 1996 Resonance Conditions and Deformable Body Coordinate SystemsJournal of Sound and Vibration 92 389
    Shabana, A.A. 1996 Theory of Vibration: An IntroductionSpringer VerlagNew York
    Shabana, A.A. 1998 Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody DynamicsNonlinear Dynamics 16 293
    Shabana, A.A. 2001 Computational DynamicsJohn Wiley & Sons
    Shabana, A.A. 2005 Dynamics of Multibody SystemsCambridge University Press
    Shabana, A.A. 2011
    Shabana, A.A.Hamed, A.M.Mohamed, A.A.Jayakumar, P.Letherwood, M.D. 2011
    Shabana, A.A.Mikkola, A.M. 2003 Use of the Finite Element Absolute Nodal Coordinate Formulation in Modeling Slope DiscontinuityASME Journal of Mechanical Design 125 342
    Shabana, A.A.Wehage, R. 1981 Variable Degree of Freedom Component Mode Analysis of Inertia-Variant Flexible Mechanical SystemsCenter for Computer Aided DesignUniversity of Iowa
    Shabana, A.A.Yakoub, R.Y. 2001 Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: TheoryASME Journal of Mechanical Design 123 606
    Simo, J.C.Hughes, T.J.R. 1986 Computational InelasticitySpringerNew York
    Simo, J.C.Taylor, T.J.R. 1986 Return Mapping Algorithm for Plane Stress ElastoplasticityInternational Journal for Numerical Methods in Engineering 22 649
    Simo, J.C.Vu-Quoc, L. 1986 On the Dynamics of Flexible Beams under Large Overall Motions-The Plane Case: Parts I and IIASME Journal of Applied Mechanics 53 849
    Sopanen, J.T.Mikkola, A.M. 2003 Description of Elastic Forces in Absolute Nodal Coordinate FormulationNonlinear Dynamics 34 53
    Stolarski, H.Belytschko, T.Lee, S.H. 1995 A Review of Shell Finite Elements and Corotational TheoriesComputational Mechanics Advances 2 125
    Sugiyama, H.Gerstmayr, J.Shabana, A.A. 2006 Deformation Modes in the Finite Element Absolute Nodal Coordinate FormulationSound and Vibration 298 1129
    Sugiyama, H.Mikkola, A.M.Shabana, A.A. 2003 A Non-Incremental Nonlinear Finite Element Solution for Cable ProblemsASME Journal of Mechanical Design 125 746
    Takahashi, Y.Shimizu, N. 1999 Study on Elastic Forces of the Absolute Nodal Coordinate Formulation for Deformable BeamsProceedings of the ASME International Design Engineering Technical Conferences and Computer and Information in Engineering ConferenceLas Vegas, NV
    Takahashi, Y.Shimizu, N. 1999 Study on Elastic Forces of the Absolute Nodal Coordinate Formulation for Deformable BeamsProceedings of the ASME International Design Engineering Technical Conferences and Computer and Information in Engineering ConferenceLas Vegas, NV
    Tian, Q.Chen, L.P.Zhang, Y.Q.Yang, J.Z. 2009 An Efficient Hybrid Method for Multibody Dynamics Simulation Based on Absolute Nodal Coordinate FormulationASME Journal of Computational and Nonlinear Dynamics 4
    Tian, Q.Zhang, Y.Chen, L.Yang, J. 2010 Simulation of Planar Flexible Multibody Systems with Clearance and Lubricated Revolute JointsNonlinear Dynamics 60 489
    Tseng, F.C.Hulbert, G.M. 2001 A Gluing Algorithm for Network-Distributed Dynamics SimulationMultibody System Dynamics 6 377
    Tseng, F.C.Ma, Z.D.Hulbert, G.M. 2003 Efficient Numerical Solution of Constrained Multibody Dynamics SystemsComputer Methods in Applied. Mechanics and Engineering 192 439
    Ugural, A.C.Fenster, K. 1979 Advanced Strength and Applied ElasticityElsevier
    Von Dombrowski, S. 2002 Analysis of Large Flexible Body Deformation in Multibody Systems Using Absolute CoordinatesMultibody System Dynamics 8 409
    Wang, J.Z.Ma, Z.D.Hulbert, G.M. 2003 A Gluing Algorithm for Distributed Simulation of Multibody SystemsNonlinear Dynamics 34 159
    Weaver, W.Timoshenko, S.P.Young, D.H. 1990 Vibration Problems in EngineeringWiley & SonsNew York
    White, F.M. 2003 Fluid MechanicsMcGraw Hill, New York
    Yakoub, R.Y.Shabana, A.A. 2001 Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and ApplicationsASME Journal of Mechanichal Design 123 614
    Yoo, W.S.Lee, J.H.Park, S.J.Sohn, J.H.Pogorelov, D.Dimitrochenko, O. 2004 Large Deflection Analysis of a Thin Plate: Computer Simulation and ExperimentMultibody System Dynamics 11 185
    Zienkiewicz, O.C. 1977 The Finite Element MethodMcGraw HillNew York
    Zienkiewicz, O.C.Taylor, R.L. 2000 The Finite Element Method 2

    Metrics

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.