Bending and Stretching of Plates. Special Models for Upper and Lower Bounds PDF Download

Author: B. Fraeijs DE Veubeke
Publisher:
ISBN:
Category :
Languages : en
Pages : 33

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Author: G. Sander
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 330

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Book Description
Extensive comparison studies were run on different idealizations and on the use of different types of finite elements for the analysis of a single spar, a rectangular section box beam, a multispar swept wing and a centrally loaded rectangular plate. The results indicate that the principle of a dual analysis, with its capability to provide upper and lower bounds to the structural deflections, is of practical value. Convergence in the deflection pattern, from above and from below, is equally satisfactory. Convergence and evaluation of the stress output is sometimes more difficult. However, the more sophisticated elements generate stresses that are simpler to interpret and less sensitive to the geometrical subdivision pattern. The report contains the theory of the conforming displacement models and stress-diffusing equilibrium models required for obtaining strain energy bounds, with a description of the models that were operational in the numerical studies. It also contains a description of the ASEF, direct stiffness type, program.

Author: Haichang Hu
Publisher: CRC Press
ISBN: 9780677313306
Category : Calculus of variations
Languages : en
Pages : 514

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Author:
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 1002

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Author: Suong Van Hoa
Publisher: Springer Science & Business Media
ISBN: 146155733X
Category : Technology & Engineering
Languages : en
Pages : 304

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Book Description
This book has one single purpose: to present the development of the partial hybrid finite element method for the stress analysis of laminated composite structures. The reason for this presentation is because the authors believe that partial hybrid finite element method is more efficient that the displacement based finite element method for the stress analysis oflaminated composites. In fact, the examples in chapter 5 of this book show that the partial hybrid finite element method is about 5 times more efficient than the displacement based finite element method. Since there is a great need for accurate and efficient calculation of interlaminar stresses for the design using composites, the partial hybrid finite method does provide one possible solution. Hybrid finite method has been in existence since 1964 and a significant amount of work has been done on the topic. However, the authors are not aware of any systematic piece of literature that gives a detailed presentation of the method. Chapters of the displacement finite element method and the evolution 1 and 2 present a sununary of the hybrid finite element method. Hopefully, these two chapters can provide the readers with an appreciation for the difference between the displacement finite element method and the hybrid finite element. It also should prepare the readers for the introduction of partial hybrid finite element method presented in chapter 3.

Author: Michael Griebel
Publisher: Springer Science & Business Media
ISBN: 354027099X
Category : Mathematics
Languages : en
Pages : 307

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The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.

Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080531679
Category : Technology & Engineering
Languages : en
Pages : 1863

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The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 732

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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author: O. C. Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 9780750650557
Category : Continuum mechanics
Languages : en
Pages : 482

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Author: Olek C Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 008095135X
Category : Technology & Engineering
Languages : en
Pages : 753

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Book Description
The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms