Finite Element Analysis And Design Of Metal Structures Pdf
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- Finite Element Analysis and Design of Steel and Steel Concrete Composite Bridges by Ehab Ellobody
- Finite element method
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Chapelle, , D. May ; 57 3 : B13—B Computational Fluid and Solid Mechanics.
Finite Element Analysis and Design of Steel and Steel Concrete Composite Bridges by Ehab Ellobody
Chapelle, , D. May ; 57 3 : B13—B Computational Fluid and Solid Mechanics. Springer-Verlag, Berlin. ISBN Nothing could be further from the truth. This applied primarily for thin-shell theories, because for thick shells, a discretization with solid elements will typically eliminate most potential problems. The primary service that this book by Chapelle and Bathe renders to the profession is that it uses a rigorous mathematical approach to organize these various theories.
It assumes that the reader is intimately familiar with tensor notation and the mathematical theory of shells. Readers without such background are unlikely to obtain an understanding of thin shell theory from this book. After a very short introduction, Chapter 2 introduces geometric preliminaries of vectors and tensors in three-dimensional curvilinear coordinates, which are then used to define the shell geometry. Chapter 3 presents the elements of functional and numerical analysis, that is, Sobolev spaces and their associated norms as well as variational formulations and finite element approximations.
With Chapter 4, the book starts getting interesting. It is here where the various kinematic shell models are analyzed with mathematical rigor. Likewise, the presentation of asymptotic behaviors of different shell models, subject of Chapter 5, contains intriguing results of practical significance.
Also, the derivation of displacement-based shell finite elements in Chapter 6 proves very elegantly that the popular facet-shell, ie, flat; elements do not satisfy the mathematical criteria for convergence, whereas more efficient displacement-based elements based on general shell theory are available. Chapter 7 presents an in-depth analysis of the influence of the shell thickness on the various theories, and Chapter 8 derives the formulation of effective general shell elements.
This is a serious limitation. Although the authors claim, in Chapter 9 on the nonlinear analysis of shells, that almost their entire theory is applicable to the nonlinear domain as well, this reviewer is not convinced. Many problems in engineering practice are nonlinear. For metal shells, buckling behavior often controls the design.
For concrete thin-shell structures, nonlinear constitutive relations and creep behavior can play significant roles. The theory presented in this book may form a solid foundation, but taking the significant step to nonlinear applications requires more than the few cursory, though valid comments advanced in the very short final chapter.
As already mentioned, the target audience for The Finite Element of Analysis of Shells-Fundamentals is the mathematically astute, relatively small group of experts who may be called upon for the development of better software codes, ie, better finite element formulations. The vast majority of practitioners are users of such software and not expected to be experts in mathematical shell theory.
It would have been useful to provide them with some guidelines on how to evaluate the relative accuracy and convergence characteristics of different finite element formulations. But this was obviously beyond the purpose and scope of this fine and compact monograph on mathematical shell theory. Sign In or Create an Account.
Sign In. Advanced Search. Skip Nav Destination Article Navigation. Book Reviews. This Site. Google Scholar. Author and Article Information. D Chapelle,, Author. May , 57 3 : BB Published Online: June 10, Article history Online:. Issue Section:. Volume 57, Issue 3. Previous Article Next Article. View Metrics. Accepted Manuscript Alert. New Issue Alert.
Finite element method
Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Ellobody and R. Feng and B. Ellobody , R. Feng , B.
The finite element method FEM is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis , heat transfer , fluid flow , mass transport, and electromagnetic potential. The FEM is a particular numerical method for solving partial differential equations in two or three space variables i. To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations.
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