Large Deflection Analysis of Elastic-plastic Plates and Shells PDF Download
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Author: Pedro V. Marçal
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
A finite element method is described for the large displacement elastic-plastic analysis of plates and shells. The method combines the piecewise linear geometric stiffness matrices with the piecewise linear generalized stress strain relations for an elastic-plastic shell. The method is discussed with special reference to a triangular plate element with membrane stretching and flexure. A quadratic displacement function was used for the in-plane displacements, and a piecewise modified complete cubic displacement function was used for the out-of-plane displacements. This last resulted in a nonconforming element which exhibited good convergence features. The method was implemented on a general purpose computer program. Case studies were made of simply supported square plates under uniform pressure. Studies were also made of axisymmetric shells using an axisymmetric shell element. Reselts for both types of structures were found to agree with available theoretical and experimental results in the literature. (Author).
Author: Pedro V. Marçal
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
A finite element method is described for the large displacement elastic-plastic analysis of plates and shells. The method combines the piecewise linear geometric stiffness matrices with the piecewise linear generalized stress strain relations for an elastic-plastic shell. The method is discussed with special reference to a triangular plate element with membrane stretching and flexure. A quadratic displacement function was used for the in-plane displacements, and a piecewise modified complete cubic displacement function was used for the out-of-plane displacements. This last resulted in a nonconforming element which exhibited good convergence features. The method was implemented on a general purpose computer program. Case studies were made of simply supported square plates under uniform pressure. Studies were also made of axisymmetric shells using an axisymmetric shell element. Reselts for both types of structures were found to agree with available theoretical and experimental results in the literature. (Author).
Author: Pedro V. Marcal
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
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Book Description
A finite element method is developed for the large deflection elastic-plastic analysis of axisymmetric shells of revolution. Results were obtained for a torisphere under internal pressure and also for centrally loaded spheres. A study was made of the effect of elastic-plastic behavior on the buckling of spheres with axisymmetric imperfections subjected to external pressure. It was found that plastic yielding played a significant role in reducing the buckling pressure of these shells. The influence of plastic yielding increased with increase of the thickness to radius ratio. (Author).
Author: Pravin Kumar
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 252
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Book Description
Author: J. G. Crose
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 212
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Book Description
Author: James Gregory Crose
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 212
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Book Description
Author: J. G. Teng
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 60
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Book Description
Author: James Gregory Crose
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 214
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Book Description
Author: David Norman Hutula
Publisher:
ISBN:
Category :
Languages : en
Pages : 314
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Book Description
Author: Manouchehr Motamed Gorji
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 328
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Book Description
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.
