Linear And Geometrically Nonlinear Analysis Of Shell Structures By A Shear Flexible Finite Element Shell Formulation
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Nonlinear Analysis of Shell Structures
| Author | : Anthony N. Palazotto |
| Publisher | : AIAA |
| Total Pages | : 278 |
| Release | : 1992 |
| Genre | : Composite construction |
| ISBN | : 9781600860911 |
Nonlinear Analysis of Shells by Finite Elements
| Author | : Franz G. Rammerstorfer |
| Publisher | : Springer |
| Total Pages | : 286 |
| Release | : 2014-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3709126045 |
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.
Flexible Shells
| Author | : E. L. Axelrad |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 290 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642480136 |
Euromech-Colloquium Nr. 165 The shell-theory development has changed its emphasis during the last two decades. Nonlinear problems have become its main motive. But the analysis was until recently predominantly devoted to shells designed for strength and stiffness. Nonlinearity is here relevant to buckling, to intensively vary able stress states. These are (with exception of some limit cases) covered by the quasi-shallow shell theory. The emphasis of the nonlinear analysis begins to shift further - to shells which are designed for and actually capable of large elastic displacements. These shells, used in industry for over a century, have been recently termedj1exible shells. The European Mechanics Colloquium 165. was concerned with the theory of elastic shells in connection with its applications to these shells. The Colloquium was intended to discuss: 1. The formulations of the nonlinear shell theory, different in the generality of kine matic hypothesis, and in the choice of dependent variables. 2. The specialization of the shell theory for the class of shells and the respective elastic stress states assuring flexibility. 3. Possibilities to deal with the complications of the buckling analysis of flexible shells, caused by the precritial perturbations of their shape and stress state. 4. Methods of solution appropriate for the nonlinear flexible-shell problems. 5. Applications of the theory. There were 71 participants the sessions were presided over (in that order) by E. Reissner, J. G. Simmonds, W. T. Koiter, R. C. Tennyson, F. A. Emmerling, E. Rarnm, E. L. Axelrad.
The Finite Element Analysis of Shells - Fundamentals
| Author | : Dominique Chapelle |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 337 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 3662052296 |
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.
On a Tensor-based Finite Element Model for the Analysis of Shell Structures
| Author | : Roman Augusto Arciniega Aleman |
| Publisher | : |
| Total Pages | : |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
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.
FORMULATION OF SOLID ELEMENTS
| Author | : 陳永堅 |
| Publisher | : Open Dissertation Press |
| Total Pages | : 96 |
| Release | : 2017-01-27 |
| Genre | : Technology & Engineering |
| ISBN | : 9781374719231 |
This dissertation, "Formulation of Solid Elements for Linear and Geometric Nonlinear Analysis of Shells" by 陳永堅, Wing-kin, Chan, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of the thesis entitled Formulation of Solid Elements for Linear and Geometric Nonlinear Analysis of Shells submitted by CHAN Wing Kin for the degree of Master of Philosophy at the University of Hong Kong in August 2001 This thesis consists of two facets. The first facet is on the formulation of a six-node pentagonal solid-shell element. Attention is focused on shear, trapezoidal and thickness lockings that plague the conventional elements. While assumed natural strain formulation is employed to alleviate shear and trapezoidal lockings, a modified generalized laminate stiffness matrix is devised to circumvent thickness locking. It will be seen that the matrix is immune to the inconsistent thickness stress and strain predictions experienced by the existing remedies for thickness locking. Numerical examples reveal that the element is close in accuracy to the state-of-the-art three-node degenerated-shell elements. The second facet of the thesis is on extending a selectively reduced integrated and a hybrid-stress eight-node hexahedral solid-shell elements for linear analysis to geometric nonlinear analysis. Same as the pentagonal element, both hexahedral elements employ the assumed natural strain formulation to subdue shear and trapezoidal lockings whereas thickness locking is overcome by the above modified generalized laminate stiffness matrix. Both the total and updated Lagrangian frameworks are attempted in the extension. Popular geometric nonlinear homogeneous and laminated shell problems are studied and the predictions are close to that of other state-of-the-art elements. Moreover, the hybrid- stress element converges more readily than the selectively reduced integrated element in all problems. DOI: 10.5353/th_b3025284 Subjects: Shells (Engineering) Strains and stresses Mathematical analysis
Shell Structures: Theory and Applications
| Author | : Wojciech Pietraszkiewicz |
| Publisher | : CRC Press |
| Total Pages | : 600 |
| Release | : 2013-09-18 |
| Genre | : Technology & Engineering |
| ISBN | : 1482229080 |
Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insec
Finite Element Analysis of Shell Structures
| Author | : Fathelrahman Mohamed Adam |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 232 |
| Release | : 2013 |
| Genre | : |
| ISBN | : 9783659381584 |
The finite element analysis of general shell structures is faced with the problems of shear and membrane locking. These problems are well known and much research has been focused on the development of powerful shell elements to eliminate these problems. This book employs three shell elements these are four nodes degenerated shell element, four nodes flat shell element and nine nodes degenerated shell element. Each one of these elements has six degrees of freedom per node. Additional elements have been developed to avoid problems; these are: four nodes element, employing the Mixed Interpolation of Tensorial Components approach, Non Conforming Element and nine nodes element with Selective Reduced Integration and Weighted Modified Integration. A new solution is proposed to correct the convergence curve to be asymptotic to the exact solution curve by using extrapolation. A geometric nonlinear formulation based on the total Lagrangian formulation using both engineering strains and Green's strains was adopted. The formulations were implemented into a nonlinear finite element program and some subroutines are included. Good results are obtained when applying in different numerical examples
