عنوان
پدید آورنده
موضوع
رده
TA347.F5
TA347
.
F5
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789811357763
(Number (ISBN
9789811357770
(Number (ISBN
9811357765
(Number (ISBN
9811357773
Erroneous ISBN
9789811357756
Erroneous ISBN
9811357757
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Advances in the base force element method /
General Material Designation
[Book]
First Statement of Responsibility
Yijiang Peng, Yinghua Liu.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Singapore :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Intro; Preface; References; Acknowledgements; Contents; 1 Introduction; 1.1 Development of Finite Element Method; 1.2 Development of Complementary Energy Principle for Large Elastic Deformation; 1.3 Development of Base Force Element Method; 1.4 Characteristics of Base Force Element Method; 1.5 Main Contents of This Book; References; 2 Basic Formula on Base Forces; 2.1 Definition of Base Forces; 2.2 Function of Base Forces; 2.3 Relation Between Base Forces and Various Stress Tensors; 2.4 Conjugate Variable of Base Forces; 2.5 Basic Equation Expressed by Gradient of Displacement and Base Forces
Text of Note
10 Base Force Element Method for Nonlinear Problems of Materials10.1 Basic Equations; 10.2 Equivalent Stress of a BFEM Element; 10.3 Expression of Nodal Displacement; 10.4 Method for Solving Nonlinear Equations; 10.5 Procedure of the Base Force Element Method for Elastoplastic Problems; 10.6 Numerical Examples; 10.7 Conclusions; 11 3D Base Force Element Method for Linear Elastic Problems; 11.1 Stress of a Polyhedral Element; 11.2 Compliance Matrix of a Polyhedral Element; 11.3 Governing Equations of Structure; 11.4 Node Displacement; 11.5 Numerical Examples; 11.6 Conclusions; References
Text of Note
2.6 Boundary ConditionsReferences; 3 Complementary Energy Principle on Base Forces; 3.1 Complementary Energy Principle by Y.C. Gao; 3.2 Some Questions; 3.3 Examples; 3.4 Another Version of the Principle; 3.5 The Relation of Complementary Energy and Potential Energy; References; 4 2D Base Force Element Method for Linear Elastic Problems; 4.1 2D Basic Equations; 4.2 Compliance Matrix; 4.3 Governing Equations; 4.4 Numerical Examples; 4.5 Conclusions; References; 5 Base Force Element Method for Convex Polygonal Mesh; 5.1 Compliance Matrix; 5.2 Governing Equations
Text of Note
5.3 Expression of Stress for a Convex Polygon Element5.4 Expression of Node Displacement of Convex Polygon Element; 5.5 Numerical Example; 5.6 Conclusions; References; 6 Base Force Element Method for Concave Polygonal Mesh; 6.1 Development of 2D BFEM with Concave Polygonal Meshes; 6.2 Numerical Examples; 6.3 Conclusions; References; 7 2D Base Force Element Method for Geometrically Nonlinear Problems; 7.1 Setting of the Problem; 7.2 Complementary Energy of an Element; 7.3 Nonlinear Governing Equations of BFEM; 7.4 Expression of Element Stress; 7.5 Expression of Node Displacement
Text of Note
7.6 Numerical Examples7.7 Conclusions; References; 8 BFEM on Convex Polygonal Mesh for Geometrically Nonlinear Problems; 8.1 Basic Formulae; 8.2 Basic Formulae Model of BFEM for Arbitrary Mesh Problems; 8.3 Explicit Expressions for Stress of Element and Displacement of Node; 8.4 Numerical Examples; 8.5 Conclusions; Reference; 9 BFEM on Concave Polygonal Mesh for Geometrically Nonlinear Problems; 9.1 Complementary Energy of a Concave Polygonal Element; 9.2 Stress of Concave Polygonal Element and Displacement of Node; 9.3 Numerical Examples; 9.4 Conclusions; Reference
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SUMMARY OR ABSTRACT
Text of Note
This book describes the main concepts of and recent advances in the base forces element method (BFEM). It combines theories, methods, models, numerical results, and an analysis of the BFEM. Each chapter starts with an introduction and derivation of a new mathematical model for the proposed method. Subsequently, the methods are described and numerical examples demonstrating the significance of the proposed method are presented. The closing chapter summarizes the performance and features of the BFEM and describes the prospects for its application. The book is intended for engineers, scientists and graduate students in applied mechanics and applied mathematics, and for all readers interested in numerical computations and simulations.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9789811357763
OTHER EDITION IN ANOTHER MEDIUM
Title
Advances in the base force element method.
International Standard Book Number
9789811357756
TOPICAL NAME USED AS SUBJECT
Finite element method.
Finite element method.
MATHEMATICS-- Numerical Analysis.
(SUBJECT CATEGORY (Provisional
MAT-- 041000
TGMD
TGMD
DEWEY DECIMAL CLASSIFICATION
Number
518/
.
25
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
TA347
.
F5
PERSONAL NAME - PRIMARY RESPONSIBILITY
Peng, Yijiang
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Liu, Yinghua
ORIGINATING SOURCE
Date of Transaction
20200823233939.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
