Stability problems of elasto-plastic plates and shells by finite elements
Author: Urs Trueb
Publisher:
Published: 1984
Total Pages:
ISBN-13:
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Author: Urs Trueb
Publisher:
Published: 1984
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: George Z Voyiadjis
Publisher: Springer Science & Business Media
Published: 2008-07-23
Total Pages: 213
ISBN-13: 3540793518
DOWNLOAD EBOOKShells and plates are critical structures in numerous engineering applications. Analysis and design of these structures is of continuing interest to the scienti c and engineering communities. Accurate and conservative assessments of the maximum load carried by a structure, as well as the equilibrium path in both the elastic and inelastic range, are of paramount importance to the engineer. The elastic behavior of shells has been closely investigated, mostly by means of the nite element method. Inelastic analysis however, especially accounting for damage effects, has received much less attention from researchers. In this book, we present a computational model for nite element, elasto-plastic, and damage analysis of thin and thick shells. Formulation of the model proceeds in several stages. First, we develop a theory for thick spherical shells, providing a set of shell constitutive equations. These equations incorporate the effects of transverse shear deformation, initial curvature, and radial stresses. The proposed shell equations are conveniently used in nite element analysis. 0 AsimpleC quadrilateral, doubly curved shell element is developed. By means of a quasi-conforming technique, shear and membrane locking are prevented. The element stiffness matrix is given explicitly, making the formulation computationally ef cient. We represent the elasto-plastic behavior of thick shells and plates by means of the non-layered model, using an Updated Lagrangian method to describe a small-strain geometric non-linearity. For the treatment of material non-linearities, we adopt an Iliushin’s yield function expressed in terms of stress resultants, with isotropic and kinematic hardening rules.
Author:
Publisher:
Published: 1998
Total Pages: 460
ISBN-13:
DOWNLOAD EBOOKAuthor: M.A. Save
Publisher: Elsevier
Published: 1997-12-18
Total Pages: 603
ISBN-13: 0080539114
DOWNLOAD EBOOKThis revised and updated edition of a book first published in 1972 has kept the general features of the first edition but as could be expected after two decades there are also substantial differences. For instance optimal design has been completely deleted as the developments in this field have been so great that it warrants a book in itself. The fundamental concepts based on Drucker's postulate rather than those of Prager's assumptions function have been introduced. Problems of cyclic loading have been given some more extensive treatment, both in the general theory and in applications. General indications and references have been added for reinforced concrete plates and shells. A general presentation of the yield condition for both plates and shells has been included and the section on the influence of axial force in plates has been almost re-written. Finally, a chapter has been added exclusively devoted to the numerical approach to limit load and shake-down load evaluation. Like the previous edition the book is directed towards engineering applications. The theory is rigorously developed and is therefore of great use to engineering students in plastic limit analysis. Furthermore, applications to metal and reinforced concrete plates and shells and to metal disks are treated by both analytical and numerical approaches.
Author: Maria Radwańska
Publisher: John Wiley & Sons
Published: 2017-02-06
Total Pages: 430
ISBN-13: 1118934547
DOWNLOAD EBOOKPlate 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.
Author: Alekseĭ Antonovich Ilʹi͡ushin
Publisher:
Published: 1947
Total Pages: 36
ISBN-13:
DOWNLOAD EBOOKThe stress-strain relations developed by the author in previous work for use beyond the elastic range have been simplified and applied to thin plates. Different expressions are given for these relations in the elastic, the elasto-plastic, and the plastic zones which may arise in a thin plate. The stability of plates compressed beyond the elastic range is studied and examples are given of exact and approximate solutions.
Author:
Publisher:
Published: 1990
Total Pages: 482
ISBN-13:
DOWNLOAD EBOOKAuthor: Benjamin Whang
Publisher:
Published: 1968
Total Pages: 316
ISBN-13:
DOWNLOAD EBOOKA finite element displacement method is developed for the elasto-plastic analysis of bi-linear strain-hardening orthotropic plates and shells. Two basic approaches in the elasto-plastic analysis, the 'initial stiffness' approach and the 'tangent stiffness' approach are presented and compared. Three separate computer programs have been written; the first two are for the plane stress case. The third program is for the rectangular shallow shells, and it uses elements whose thicknesses are subdivided into equally-spaced layers, each of which is assumed to be in plane stress. (Author).
Author: University of Michigan. College of Engineering
Publisher: UM Libraries
Published: 1987
Total Pages: 310
ISBN-13:
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