عنوان
پدید آورنده
موضوع
رده
TA347.F5 P76 2019
TA347
.
F5
P76
2019
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3030038890
(Number (ISBN
3030038904
(Number (ISBN
9783030038892
(Number (ISBN
9783030038908
Erroneous ISBN
3030038882
Erroneous ISBN
9783030038885
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Precursors of isogeometric analysis :
General Material Designation
[Book]
Other Title Information
finite elements, boundary elements, and collocation methods /
First Statement of Responsibility
Christopher G. Provatidis.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2019]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Solid mechanics and its applications ;
Volume Designation
volume 256
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Abbreviations; 1 Initial Attempts on CAD/CAE Integration; 1.1 The Conventional Meaning of Integrated CAD/CAE Systems; 1.2 The Meaning of CAD/CAE Integration Adopted in This Book; 1.3 CAD Interpolation; 1.4 CAE Methods; 1.4.1 Finite Element Method (FEM); 1.4.2 Boundary Element Method (BEM); 1.4.3 Collocation Method; 1.5 Modules of CAD/CAE Integration; 1.5.1 Mesh Generation; 1.5.2 Transfinite Elements; 1.5.3 Later Attempts; 1.6 Recapitulation and Some Historical Remarks; References; 2 Elements of Approximation and Computational Geometry
Text of Note
2.1 Description of Curve's Geometry as Well as of a Physical Quantity Along It2.2 Definitions; 2.3 Approximation Using Univariate Functions; 2.3.1 Taylor Power Series; 2.3.2 One-Dimensional Linear Interpolation; 2.3.3 One-Dimensional (1D) Piecewise Linear Interpolation; 2.3.4 One-Dimensional (1D) Lagrange and Power Series Interpolation; 2.3.5 One-Dimensional (1D) Hermite Interpolation; 2.3.6 One-Dimensional (1D) Nonrational Bézier Interpolation; 2.3.7 One-Dimensional (1D) Interpolation Using B-Splines; 2.4 Coons Interpolation Formula in Two Dimensions; 2.5 Gordon Interpolation Formula
Text of Note
2.6 Bézier Interpolation Formulas2.6.1 Nonrational Bézier Patch (Surface); 2.6.2 Rational Bézier Curve and Patch; 2.7 Interpolation Formula Using NURBS; 2.7.1 NURBS Curve; 2.7.2 NURBS Patch; 2.8 Barnhill's Interpolation Formula in a Parametric Triangular Domain; 2.8.1 Area Coordinates; 2.8.2 Derivation of Barnhill's Formula; 2.9 Recapitulation; References; 3 COONS' Interpolation as a Vehicle to Derive Large Isoparametric Elements; 3.1 General; 3.2 Small-Size Classical Finite Elements; 3.2.1 Four-Noded Element; 3.2.2 Eight-Noded Element
Text of Note
3.3 Global Shape Functions of Arbitrary Noded Coons Macroelement ("C-Element")3.3.1 General Formulation; 3.4 A Deeper Examination of Coons Interpolation and Relevant Coons Macroelements; 3.5 Trial Functions; 3.5.1 Piecewise Linear Trial Functions; 3.5.2 Lagrange Polynomials; 3.5.3 Natural Cubic B-Splines as Trial Functions; 3.6 Degeneration of Quadrilateral into a Triangular Patch; 3.7 Test Cases; 3.7.1 Potential Problems; 3.7.2 Application to Plane Elastostatics and Eigenanalysis; 3.7.3 Application to Plane Stress Transient Elastodynamics
Text of Note
3.7.4 Application to Problems of Axisymmetric Elasticity3.8 COONS Macroelement as a NURBS; 3.9 Recapitulation; References; 4 GORDON's Transfinite Macroelements; 4.1 General Formulation; 4.2 General Formulation; 4.3 A Structured Mesh of Bilinear Elements as a Special Case of Gordon Macroelement; 4.4 Lagrangian-Type Elements as a Special Case of Gordon Macroelement; 4.5 State-of-the-Art; 4.6 Test Problems; 4.7 Degenerated Triangular Transfinite Elements; 4.7.1 General; 4.7.2 Degenerated Quadrilateral with Four Nodes; 4.7.3 Degenerated Quadrilateral with Seven Nodes
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SUMMARY OR ABSTRACT
Text of Note
This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030038892
OTHER EDITION IN ANOTHER MEDIUM
Title
Precursors of isogeometric analysis.
International Standard Book Number
9783030038885
TOPICAL NAME USED AS SUBJECT
Finite element method.
Isogeometric analysis.
Finite element method.
Isogeometric analysis.
(SUBJECT CATEGORY (Provisional
SCI096000
TGMD
TGMD
DEWEY DECIMAL CLASSIFICATION
Number
518/
.
25
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
TA347
.
F5
Book number
P76
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Provatidis, Christopher G.
ORIGINATING SOURCE
Date of Transaction
20200823075921.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
