Elasto-Plastic and Damage Analysis of Plates and Shells

Elasto-Plastic and Damage Analysis of Plates and Shells PDF Author: George Z Voyiadjis
Publisher: Springer Science & Business Media
ISBN: 3540793518
Category : Technology & Engineering
Languages : en
Pages : 213

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Book Description
Shells 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.

Elasto-Plastic and Damage Analysis of Plates and Shells

Elasto-Plastic and Damage Analysis of Plates and Shells PDF Author: George Z Voyiadjis
Publisher: Springer Science & Business Media
ISBN: 3540793518
Category : Technology & Engineering
Languages : en
Pages : 213

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Book Description
Shells 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.

Computational Model for Elasto-plastic and Damage Analysis of Plates and Shells

Computational Model for Elasto-plastic and Damage Analysis of Plates and Shells PDF Author: Pawel Woelke
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Theory and Analysis of Elastic Plates and Shells, Second Edition

Theory and Analysis of Elastic Plates and Shells, Second Edition PDF Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9780849384158
Category : Science
Languages : en
Pages : 584

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Book Description
Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.

Elasto-plastic Analysis of Orthotropic Plates and Shells

Elasto-plastic Analysis of Orthotropic Plates and Shells PDF Author: Benjamin Whang
Publisher:
ISBN:
Category :
Languages : en
Pages : 316

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Book Description
A 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).

Plastic Limit Analysis of Plates, Shells and Disks

Plastic Limit Analysis of Plates, Shells and Disks PDF Author: M.A. Save
Publisher: Elsevier
ISBN: 0080539114
Category : Technology & Engineering
Languages : en
Pages : 603

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Book Description
This 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.

Elasto-Plastic Behavior of Plates and Shells

Elasto-Plastic Behavior of Plates and Shells PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 36

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Book Description
For an isotropic solid shell, a yield condition, a strain-hardening rule, and a flow rule have been formulated in terms of the membrane forces and bending moments and the strains and curvatures of the middle surface. The results of the proposed theory are compared to the results of the through-the- thickness integration of the stress-strain relations of the material.

Nonlinear Analyses of Laminated Plates and Shells with Damage

Nonlinear Analyses of Laminated Plates and Shells with Damage PDF Author: Yi-Ming Fu
Publisher: WIT Press
ISBN: 1845646908
Category : Technology & Engineering
Languages : en
Pages : 797

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Book Description
The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.

Advances in the Theory of Plates and Shells

Advances in the Theory of Plates and Shells PDF Author: George Voyiadjis
Publisher: Elsevier
ISBN: 1483290964
Category : Science
Languages : en
Pages : 324

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Book Description
Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects of the analysis of plates and shells, while Part II deals with modern applications. Numerous eminent researchers in the various areas of plate and shell analyses have contributed to this work which pays special attention to aspects of research such as theory, dynamic analysis, and composite plates and shells.

Stability problems of elasto-plastic plates and shells by finite elements

Stability problems of elasto-plastic plates and shells by finite elements PDF Author: Urs Trueb
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Static and Dynamic Analyses of Plates and Shells

Static and Dynamic Analyses of Plates and Shells PDF Author: Hou-Cheng Huang
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 226

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Book Description
Over the past decade or so much has been written on the various attempts to produce efficient, accurate and reliable Mindlin plate finite elements. In the late sixties, a degenerated, Mindlin-type, curved shell element was developed and subsequently many improvements in such elements have been made. Reliability and efficiency in use has always been a major objective. Degenerated shell elements have enjoyed widespread popularity despite certain potential defects, including shear and membrane lock ing behaviour and spurious mechanisms. After introducing the basic foundations of Mindlin-type elements, this book describes these defects and also gives the reasons for their occurrence. Furthermore, the author proposes an approach to overcome these defects. A series of linear benchmark tests are proposed to illustrate the performance of the assumed strain element formulations. The formula tions and applications for material non-linearity are also presented. Both isotropic and anisotropic material models are included together with the results for both static and transient dynamic analyses. Two associated programs are fully documented and provided on floppy discs with test examples. Source codes for the two associated programs are provided: one is for static analysis and the other for dynamic analysis, and the programs can be compiled and run on either a mini or mainframe coniputer via a terminal. The author hopes that this book may provide further impetus in the important research area of plate and shell element technology.