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|b .R38 2016
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|a 624.170285
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|a UAMI
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| 100 |
1 |
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|a Ray, Debabrata,
|d 1942 January 23-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjBFjHv8cQhjxX8TxjftTd
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| 245 |
1 |
0 |
|a Computation of Nonlinear Structures :
|b Extremely Large Elements for Frames, Plates and Shells /
|c Debabrata Ray.
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| 264 |
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1 |
|a Chichester, West Sussex :
|b Wiley,
|c 2016.
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| 264 |
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4 |
|c ©2016
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| 300 |
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|a 1 online resource :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 504 |
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|a Includes bibliographical references and index.
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|a Title page; Copyright; Dedication; Acknowledgements; 1 Introduction: Background and Motivation; 1.1 What This Book Is All About; 1.2 A Brief Historical Perspective; 1.3 Symbiotic Structural Analysis; 1.4 Linear Curved Beams and Arches; 1.5 Geometrically Nonlinear Curved Beams and Arches; 1.6 Geometrically Nonlinear Plates and Shells; 1.7 Symmetry of the Tangent Operator: Nonlinear Beams and Shells; 1.8 Road Map of the Book; References; Part I ESSENTIAL MATHEMATICS; 2 Mathematical Preliminaries; 2.1 Essential Preliminaries; 2.2 Affine Space, Vectors and Barycentric Combination.
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|a 2.3 Generalization: Euclidean to Riemannian Space2.4 Where We Would Like to Go; 3 Tensors; 3.1 Introduction; 3.2 Tensors as Linear Transformation; 3.3 General Tensor Space; 3.4 Tensor by Component Transformation Property; 3.5 Special Tensors; 3.6 Second-order Tensors; 3.7 Calculus Tensor; 3.8 Partial Derivatives of Tensors; 3.9 Covariant or Absolute Derivative; 3.10 Riemann-Christoffel Tensor: Ordered Differentiation; 3.11 Partial (PD) and Covariant (C.D.) Derivatives of Tensors; 3.12 Partial Derivatives of Scalar Functions of Tensors; 3.13 Partial Derivatives of Tensor Functions of Tensors.
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|a 3.14 Partial Derivatives of Parametric Functions of Tensors3.15 Differential Operators; 3.16 Gradient Operator: GRAD() or ∇(); 3.17 Divergence Operator: DIV or ∇; 3.18 Integral Transforms: Green-Gauss Theorems; 3.19 Where We Would Like to Go; 4 Rotation Tensor; 4.1 Introduction; 4.2 Cayley's Representation; 4.3 Rodrigues Parameters; 4.4 Euler -- Rodrigues Parameters; 4.5 Hamilton's Quaternions; 4.6 Hamilton-Rodrigues Quaternion; 4.7 Derivatives, Angular Velocity and Variations; Part II ESSENTIAL MESH GENERATION; 5 Curves: Theory and Computation; 5.1 Introduction
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|a 5.2 Affine Transformation and Ratios5.3 Real Parametric Curves: Differential Geometry; 5.4 Frenet-Serret Derivatives; 5.5 Bernstein Polynomials; 5.6 Non-rational Curves Bezier-Bernstein-de Casteljau; 5.7 Composite Bezier-Bernstein Curves; 5.8 Splines: Schoenberg B-spline Curves; 5.9 Recursive Algorithm: de Boor-Cox Spline; 5.10 Rational Bezier Curves: Conics and Splines; 5.11 Composite Bezier Form: Quadratic and Cubic B-spline Curves; 5.12 Curve Fitting: Interpolations; 5.13 Where We Would Like to Go; 6 Surfaces: Theory and Computation; 6.1 Introduction.
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|a 6.2 Real Parametric Surface: Differential Geometry6.3 Gauss-Weingarten Formulas: Optimal Coordinate System; 6.4 Cartesian Product Bernstein-Bezier surfaces; 6.5 Control Net Generation: Cartesian Product Surfaces; 6.6 Composite Bezier Form: Quadratic and Cubic B-splines; 6.7 Triangular Bezier-Bernstein Surfaces; Part III ESSENTIAL MECHANICS; 7 Nonlinear Mechanics: A Lagrangian Approach; 7.1 Introduction; 7.2 Deformation Geometry: Strain Tensors; 7.3 Balance Principles: Stress Tensors; 7.4 Constitutive Theory: Hyperelastic Stress-Strain Relation; Part IV A NEW FINITE ELEMENT METHOD.
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Structural analysis (Engineering)
|x Data processing.
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| 650 |
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6 |
|a Théorie des constructions
|x Informatique.
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| 650 |
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|a TECHNOLOGY & ENGINEERING
|x Civil
|x General.
|2 bisacsh
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| 650 |
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|a Structural analysis (Engineering)
|x Data processing
|2 fast
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| 758 |
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|i has work:
|a Computation of nonlinear structures (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGPyqPkdryHMJ49YGyJppq
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Ray, Debabrata.
|t Computation of Nonlinear Structures : Extremely Large Elements for Frames, Plates and Shells.
|d Somerset : Wiley, ©2015
|z 9781118996959
|
| 856 |
4 |
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