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Book Nonlinear Analysis of Shells by Finite Elements

Download or read book Nonlinear Analysis of Shells by Finite Elements written by Franz G. Rammerstorfer and published by Springer. This book was released on 2014-05-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art nonlinear computational analysis of shells, nonlinearities due to large deformations and nonlinear material behavior, alternative shell element formulations, algorithms and implementational aspects, composite and sandwich shells, local and global instabilities, optimization of shell structures and concepts of shape finding methods of free from shells. Furthermore, algorithms for the treatment of the nonlinear stability behavior of shell structures (including bifurcation and snap-through buckling) are presented in the book.

Book The Finite Element Analysis of Shells Fundamentals

Download or read book The Finite Element Analysis of Shells Fundamentals written by Dominique Chapelle and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book On a Tensor based Finite Element Model for the Analysis of Shell Structures

Download or read book On a Tensor based Finite Element Model for the Analysis of Shell Structures written by Roman Augusto Arciniega Aleman and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present study, we propose a computational model for the linear and nonlinear analysis of shell structures. We consider a tensor-based finite element formulation which describes the mathematical shell model in a natural and simple way by using curvilinear coordinates. To avoid membrane and shear locking we develop a family of high-order elements with Lagrangian interpolations. The approach is first applied to linear deformations based on a novel and consistent third-order shear deformation shell theory for bending of composite shells. No simplification other than the assumption of linear elastic material is made in the computation of stress resultants and material stiffness coefficients. They are integrated numerically without any approximation in the shifter. Therefore, the formulation is valid for thin and thick shells. A conforming high-order element was derived with C0 continuity across the element boundaries. Next, we extend the formulation for the geometrically nonlinear analysis of multilayered composites and functionally graded shells. Again, Lagrangian elements with high-order interpolation polynomials are employed. The flexibility of these elements mitigates any locking problems. A first-order shell theory with seven parameters is derived with exact nonlinear deformations and under the framework of the Lagrangian description. This approach takes into account thickness changes and, therefore, 3D constitutive equations are utilized. Finally, extensive numerical simulations and comparisons of the present results with those found in the literature for typical benchmark problems involving isotropic and laminated composites, as well as functionally graded shells, are found to be excellent and show the validity of the developed finite element model. Moreover, the simplicity of this approach makes it attractive for future applications in different topics of research, such as contact mechanics, damage propagation and viscoelastic behavior of shells.

Book Large Deformation Finite Element Analysis of Shells

Download or read book Large Deformation Finite Element Analysis of Shells written by Fathelrahman Mohamed Adam and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of shells structure represents one of the most challenging fields in many applications. This work presents the linear and nonlinear analysis of thin shell structures based on finite element eight nodes degenerated shell element which have five degrees of freedom per each node. A geometric nonlinear formulation based on the total Lagrangian formulation and using both geometric strains (Engineering Strains) and Green's strains was adopted in this work and the formulations were implemented into a nonlinear finite element program NONLAS. The solution of nonlinear equations is obtained by combining a step-by-step incremental/iterative procedure and the Modified Newton-Raphson method. The capability of the formulation is demonstrated by numerical examples and the results are compared with available solutions.

Book Finite Element Analysis for Composite Structures

Download or read book Finite Element Analysis for Composite Structures written by L.T. Tenek and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an adventure into the computer analysis of three dimensional composite structures using the finite element method (FEM). It is designed for Universities, for advanced undergraduates, for graduates, for researchers, and for practising engineers in industry. The text advances gradually from the analysis of simple beams to arbitrary anisotropic and composite plates and shells; it treats both linear and nonlinear behavior. Once the basic philosophy of the method is understood, the reader may expand its application and modify the computer programs to suit particular needs. The book arose from four years research at the University of Stuttgart, Germany. We present the theory and computer programs concisely and systematically so that they can be used both for teaching and applications. We have tried to make the book simple and clear, and to show the underlying physical and mathematical ideas. The FEM has been in existence for more than 50 years. One of the authors, John Argyris, invented this technique in World War II in the course of the check on the analysis of the swept back wing of the twin engined Meteor Jet Fighter. In this work, he also consistently applied matrix calculus and introduced triangular membrane elements in conjunction with two new definitions of triangular stresses and strains which are now known as the component and total measures. In fact, he was responsible for the original formulation of the matrix force and displacement methods, the forerunners of the FEM.

Book Adaptive Methods for Non linear Finite Element Analysis of Shell Structures

Download or read book Adaptive Methods for Non linear Finite Element Analysis of Shell Structures written by Knut Morten Okstad and published by . This book was released on 1994 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On Nonlinear Finite Element Analysis of Shell Structures

Download or read book On Nonlinear Finite Element Analysis of Shell Structures written by Eduardo Natalio Dvorkin and published by . This book was released on 1984 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Finite Element Procedures Applicable to Nonlinear Analysis of Reinforced Concrete Shell Structures

Download or read book Finite Element Procedures Applicable to Nonlinear Analysis of Reinforced Concrete Shell Structures written by G. M. Stanley and published by . This book was released on 1984 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this report was to adapt earlier work in nonlinear shell-element methodology to the specific kinds of problems encountered in the analysis of critically-loaded reinforced concrete shell structures. The Continuum-Based nonlinear shell-element formulation for this shells was extended to thicker, layer-model types of shell structures. A resultant-type form of the basic equations was developed that is both appropriate for the treatment of thick, layered shells and leads to an efficient finite-element implementation as well. By eliminating most of the work associated with thickness integration, this approach should be effective when numerous layers and/or thickness integration points are required, as in the case of inelastically responding reinforced concrete. Pointwise constitutive relations for accurate through-thickness stress calculations are still employed though these are ultimately presented in the element computational routines in the form of resultants.

Book Nonlinear Finite Element Analysis of Solids and Structures

Download or read book Nonlinear Finite Element Analysis of Solids and Structures written by René de Borst and published by John Wiley & Sons. This book was released on 2012-07-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.

Book Formulation of the Nonlinear Analysis of Shell like Structures Subjected to Time dependent Mechanical and Thermal Loading

Download or read book Formulation of the Nonlinear Analysis of Shell like Structures Subjected to Time dependent Mechanical and Thermal Loading written by George J. Simitses and published by . This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Element Method for Solid and Structural Mechanics

Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling