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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 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 . This book was released on 2014-09-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Analysis of Shell Structures

Download or read book Nonlinear Analysis of Shell Structures written by Anthony N. Palazotto and published by AIAA. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Finite Elements for Continua and Structures

Download or read book Nonlinear Finite Elements for Continua and Structures written by Ted Belytschko and published by John Wiley & Sons. This book was released on 2014-01-07 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.

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 Plate and Shell Structures

Download or read book Plate and Shell Structures written by Maria Radwańska and published by John Wiley & Sons. This book was released on 2017-02-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plate and Shell Structures: Selected Analytical and Finite Element Solutions Maria Radwañska, Anna Stankiewicz, Adam Wosatko, Jerzy Pamin Cracow University of Technology, Poland Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures Plate and Shell Structures: Selected Analytical and Finite Element Solutions not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element formulations for plates and shells, including the discussion of mixed/hybrid models and locking phenomena. Key features: 52 example problems solved and illustrated by more than 200 figures, including 30 plots of finite element simulation results. Contents based on many years of research and teaching the mechanics of plates and shells to students of civil engineering and professional engineers. Provides the basis of an intermediate-level course on computational mechanics of shell structures. The book is essential reading for engineering students, university teachers, practitioners and researchers interested in the mechanics of plates and shells, as well as developers testing new simulation software.

Book Finite Rotation Shells

Download or read book Finite Rotation Shells written by K. Wisniewski and published by Springer Science & Business Media. This book was released on 2010-11-18 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to provide a comprehensive introduction to ?nite rotation shells and to non-linear shell ?nite elements. It is divided into 5 parts: I. Preliminaries (20 pages), II. Shell equations (104 pages), III. Finite rotations for shells (103 pages), IV. Four-node shell elements (189 pages), and V. Numerical examples (41 pages). Additional numerical examples are presented in Parts III and IV. The bibliography includes 270 entries. The book is intended for both teaching and self-study, and emphasizes fundamental aspects and techniques of the subject. Some familiarity with non-linear mechanics and the ?nite element method is assumed. Shell elements are a subject of active research which results in many publications every year and several conferences and sessions are held r- ularly, among them, two large international conferences: \Computation of Shell and Spatial Structures" and \Shell Structures. Theory and - plications" (SSTA). The literature is voluminous, not easy to follow and evaluate, and the subject is di–cult to comprehend. I hope that this will be facilitated by the book. I would like to express my gratitude to several persons who helped me in my professional life, in this way contributing to the book. I thank Prof. R.L. Taylor from the University of California at Berkeley, Prof. B. Schre er from the University of Padua, and Prof. J.T. Santos from the Instituto Superior Tecnico at Lisbon, for hosting and supporting me when I was a post-doctoral researcher.

Book Efficient Finite Element Methods for Transient Nonlinear Analysis of Shells

Download or read book Efficient Finite Element Methods for Transient Nonlinear Analysis of Shells written by T. Belytschko and published by . This book was released on 1983 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element formulation and algorithm for the nonlinear analysis of the large deflection, materially nonlinear response of impulsively loaded shells is presented. A unique feature of this algorithm is the use of a bilinear four node quadrilateral element with single point quadrature and a simple hourglass control which is orthogonal to rigid body modes on an element level and does not compromise the consistency of the equations. The geometric nonlinearities are treated by using a corotational description wherein a coordinate system that rotates with the material is embedded at the integration point; thus the algorithm is directly applicable to anisotropic materials without any corrections for frame invariance of material property tensors. This algorithm can treat about 200 element-time-steps per CPU second on a CYBER 170/730 computer in the explicit time integration mode. Numerous results are presented for both elastic and elastic-plastic problems with large strains that show that the method in most cases is comparable in accuracy with an earlier version of this algorithm employing a cubic triangular plate-shell element, but substantially faster. (Author).

Book Flexible Shells

Download or read book Flexible Shells written by E. L. Axelrad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A Triangular Thin Shell Finite Element

Download or read book A Triangular Thin Shell Finite Element written by G. R. Thomas and published by . This book was released on 1975 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Finite Element Analysis in Structural Mechanics

Download or read book Nonlinear Finite Element Analysis in Structural Mechanics written by W. Wunderlich and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well

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 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 Computational Mechanics of Nonlinear Response of Shells

Download or read book Computational Mechanics of Nonlinear Response of Shells written by Wilfried B. Krätzig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell structures and their components are applied in many engineering fields. Designers are attaching ever increasing importance to nonlinear responses such as large deformations, instabilities and nonlinear material properties in their design analysis. This volume presents a careful selection of papers from the ICES '88 Conference covering various aspects of nonlinear shell responses.