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230209s2014 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCL
|d OCLCQ
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|a 9781118700051
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|a 1118700058
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|a (OCoLC)1347029032
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|a 620/.001515355
|q OCoLC
|2 23/eng/20230216
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|a UAMI
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|a Belytschko, Ted.
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|a Nonlinear Finite Elements for Continua and Structures
|h [electronic resource].
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2014.
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300 |
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|a 1 online resource (834 p.).
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490 |
1 |
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|a New York Academy of Sciences Ser.
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500 |
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|a Description based upon print version of record.
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|a Intro -- Nonlinear Finite Elements for Continua and Structures Second Edition -- Copyright -- Contents -- Foreword -- Preface -- List of Boxes -- 1 Introduction -- 1.1 Nonlinear Finite Elements in Design -- 1.2 Related Books and a Brief History of Nonlinear Finite Elements -- 1.3 Notation -- 1.3.1 Indicial Notation -- 1.3.2 Tensor Notation -- 1.3.3 Functions -- 1.3.4 Matrix Notation -- 1.4 Mesh Descriptions -- 1.5 Classification of Partial Differential Equations -- 1.6 Exercises -- 2 Lagrangian and Eulerian Finite Elements in One Dimension -- 2.1 Introduction
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|a 2.2 Governing Equations for Total Lagrangian Formulation -- 2.2.1 Nomenclature -- 2.2.2 Motion and Strain Measure -- 2.2.3 Stress Measure -- 2.2.4 Governing Equations -- 2.2.5 Momentum Equation in Terms of Displacements -- 2.2.6 Continuity of Functions -- 2.2.7 Fundamental Theorem of Calculus -- 2.3 Weak Form for Total Lagrangian Formulation -- 2.3.1 Strong Form to Weak Form -- 2.3.2 Weak Form to Strong Form -- 2.3.3 Physical Names of Virtual Work Terms -- 2.3.4 Principle of Virtual Work -- 2.4 Finite Element Discretization in Total Lagrangian Formulation -- 2.4.1 Finite Element Approximations
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|a 2.4.2 Nodal Forces -- 2.4.3 Semidiscrete Equations -- 2.4.4 Initial Conditions -- 2.4.5 Least-Square Fit to Initial Conditions -- 2.4.6 Diagonal Mass Matrix -- 2.5 Element and Global Matrices -- 2.6 Governing Equations for Updated Lagrangian Formulation -- 2.6.1 Boundary and Interior Continuity Conditions -- 2.6.2 Initial Conditions -- 2.7 Weak Form for Updated Lagrangian Formulation -- 2.8 Element Equations for Updated Lagrangian Formulation -- 2.8.1 Finite Element Approximation -- 2.8.2 Element Coordinates -- 2.8.3 Internal and External Nodal Forces -- 2.8.4 Mass Matrix
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|a 2.8.5 Equivalence of Updated and Total Lagrangian Formulations -- 2.8.6 Assembly, Boundary Conditions and Initial Conditions -- 2.8.7 Mesh Distortion -- 2.9 Governing Equations for Eulerian Formulation -- 2.10 Weak Forms for Eulerian Mesh Equations -- 2.11 Finite Element Equations -- 2.11.1 Momentum Equation -- 2.12 Solution Methods -- 2.13 Summary -- 2.14 Exercises -- 3 Continuum Mechanics -- 3.1 Introduction -- 3.2 Deformation and Motion -- 3.2.1 Definitions -- 3.2.2 Eulerian and Lagrangian Coordinates -- 3.2.3 Motion -- 3.2.4 Eulerian and Lagrangian Descriptions
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|a 3.2.5 Displacement, Velocity and Acceleration -- 3.2.6 Deformation Gradient -- 3.2.7 Conditions on Motion -- 3.2.8 Rigid Body Rotation and Coordinate Transformations -- 3.3 Strain Measures -- 3.3.1 Green Strain Tensor -- 3.3.2 Rate-of-Deformation -- 3.3.3 Rate-of-Deformation in Terms of Rate of Green Strain -- 3.4 Stress Measures -- 3.4.1 Definitions of Stresses -- 3.4.2 Transformation between Stresses -- 3.4.3 Corotational Stress and Rate-of-Deformation -- 3.5 Conservation Equations -- 3.5.1 Conservation Laws -- 3.5.2 Gauss's Theorem
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|a 3.5.3 Material Time Derivative of an Integral and Reynolds' Transport Theorem
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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0 |
|a Electronic books.
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758 |
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|i has work:
|a Nonlinear finite elements for Continua and structures (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGWDPJyrb8MQtmmQgQ3rVP
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Belytschko, Ted
|t Nonlinear Finite Elements for Continua and Structures
|d Newark : John Wiley & Sons, Incorporated,c2014
|z 9781118632703
|
830 |
|
0 |
|a New York Academy of Sciences Ser.
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103960
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7103960
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994 |
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|a 92
|b IZTAP
|