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Nonlinear Finite Elements for Continua and Structures

Detalles Bibliográficos
Autor principal: Belytschko, Ted
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 9781118700051 
020 |a 1118700058 
035 |a (OCoLC)1347029032 
082 0 4 |a 620/.001515355  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Belytschko, Ted. 
245 1 0 |a Nonlinear Finite Elements for Continua and Structures  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2014. 
300 |a 1 online resource (834 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |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 
505 8 |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 
505 8 |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 
505 8 |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 
505 8 |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 
500 |a 3.5.3 Material Time Derivative of an Integral and Reynolds' Transport Theorem 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
758 |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 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103960 
994 |a 92  |b IZTAP