Advances in the base force element method. (2019)

• Record Type: Book
• Further Information: Note: Yijiang Peng, Yinghua Liu.
• Authors: Peng, Yijiang; Liu, Yinghua
• Contents: 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 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 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 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 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
• Publisher Details: Singapore : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 518/.25; Finite element method; MATHEMATICS / Numerical Analysis; Solid Mechanics; Theoretical, Mathematical and Computational Physics; Mathematical and Computational Engineering; Classical Mechanics; Electronic books; Electronic books
• Languages: English
• ISBNs: 9789811357763; 9811357765; 9789811357770; 9811357773
• Related ISBNs: 9789811357756; 9811357757
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 26, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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