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Author: G. A. Mohr
Publisher: Oxford University Press, USA
ISBN:
Category : Law
Languages : en
Pages : 632
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Book Description
The finite element method is a numerical procedure for solving the ordinary and partial differential equations that commonly arise in engineering and mathematical physics. This text offers a complete, self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The authors' extensive practical experience in the field allows for a text well balanced between theory and application. Techniques for formatting finite element apparatus to problems are carefully explained. Programming techniques for solving resulting FEM problems also receive comprehensive treatment. Worked examples are scattered throughout the text.
Author: G. A. Mohr
Publisher: Oxford University Press, USA
ISBN:
Category : Law
Languages : en
Pages : 632
Get Book Here
Book Description
The finite element method is a numerical procedure for solving the ordinary and partial differential equations that commonly arise in engineering and mathematical physics. This text offers a complete, self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The authors' extensive practical experience in the field allows for a text well balanced between theory and application. Techniques for formatting finite element apparatus to problems are carefully explained. Programming techniques for solving resulting FEM problems also receive comprehensive treatment. Worked examples are scattered throughout the text.
Author: Thomas Richter
Publisher: Springer
ISBN: 3319639706
Category : Mathematics
Languages : en
Pages : 452
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Book Description
This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.
Author: Kajal K. Gupta
Publisher: AIAA
ISBN: 9781600860539
Category : Finite element method
Languages : en
Pages : 458
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Book Description
Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.
Author: Joe Iannelli
Publisher: Springer Science & Business Media
ISBN: 3540453431
Category : Science
Languages : en
Pages : 744
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Book Description
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.
Author: J. E. Akin
Publisher: World Scientific
ISBN: 9814313017
Category : Computers
Languages : en
Pages : 346
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Book Description
Young engineers are often required to utilize commercial finite element software without having had a course on finite element theory. That can lead to computer-aided design errors. This book outlines the basic theory, with a minimum of mathematics, and how its phases are structured within a typical software. The importance of estimating a solution, or verifying the results, by other means is emphasized and illustrated. The book also demonstrates the common processes for utilizing the typical graphical icon interfaces in commercial codes. in particular, the book uses and covers the widely utilized SolidWorks solid modeling and simulation system to demonstrate applications in heat transfer, stress analysis, vibrations, buckling, and other fields. The book, with its detailed applications, will appeal to upper-level undergraduates as well as engineers new to industry.
Author: Rudolph Szilard
Publisher: John Wiley & Sons
ISBN: 9780471429890
Category : Technology & Engineering
Languages : en
Pages : 1062
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Book Description
This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed.
Author: K.J Bathe
Publisher: Elsevier
ISBN: 008052947X
Category : Technology & Engineering
Languages : en
Pages : 2485
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Book Description
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080531679
Category : Technology & Engineering
Languages : en
Pages : 1863
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Book Description
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: Dominique Chapelle
Publisher: Springer Science & Business Media
ISBN: 3662052296
Category : Science
Languages : en
Pages : 337
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Book Description
The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.
Author: Mohamed Gadala
Publisher:
ISBN: 9781108151689
Category : Engineering mathematics
Languages : en
Pages :
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Book Description
"The finite element method (FEM) is indispensable in modeling and simulation in various engineering and physical systems, including structural analysis, stress, strain, fluid mechanics, heat transfer, dynamics, eigenproblems, design optimization, sound propagation, electromagnetics, and coupled field problems. Incorporating theory, development of method, and the use of FEM in the commercial sector, this textbook integrates basic theory with real-life, design-oriented problems using ANSYS, the most commonly used computational software in the field"--
