A Study on Plastic Bending of an Anisotropic Plate : 2nd Report, Analyses when the Plate Material is Rigid Plastic or Rigid-Perfectly Plastic

1969 ◽  
Vol 12 (54) ◽  
pp. 1342-1348
Author(s):  
Masakatsu SUGIMOTO ◽  
Koichi SAITO
Keyword(s):  
Anisotropic Plate ◽  
Plate Material ◽  
Rigid Plastic ◽  
Plastic Bending ◽  
Perfectly Plastic

Bearing Capacity of a Coulomb Plate on Elastic Foundation

1975 ◽  
Vol 42 (1) ◽  
pp. 121-126 ◽  
Author(s):  
M. M. Mohaghegh ◽  
M. D. Coon
Keyword(s):  
Bearing Capacity ◽  
Elastic Foundation ◽  
Yield Criterion ◽  
Infinite Plate ◽  
Ice Sheets ◽  
Plate Material ◽  
Rigid Plastic ◽  
Plastic Bending ◽  
Coulomb Criterion ◽  
Plate On Elastic Foundation

The bearing capacity of an infinite plate resting on elastic foundation is determined assuming that the plate material is rigid-plastic satisfying the Coulomb yield criterion. The sandwich idealization of the plate is utilized and the Coulomb criterion is developed for this plate. The bearing capacity is determined using the method of limit analysis. The analysis shows that the plastic bending of the Coulomb plate is associated with the development of compressive forces which increase the limit moment and therefore the bearing capacity. An example of applying the analysis results is given by determining the bearing capacity of floating ice sheets.

scholarly journals A Study on Plastic Bending of an Anisotropic Plate

1968 ◽  
Vol 11 (43) ◽  
pp. 34-46
Author(s):  
Masakatsu SUGIMOTO ◽  
Koichi SAITO
Keyword(s):  
Anisotropic Plate ◽  
Plastic Bending

The Estimation of Large Deflections of a Portal Frame Under Asymmetric Pulse Loading

1984 ◽  
Vol 51 (3) ◽  
pp. 494-500 ◽  
Author(s):  
J. L. Raphanel ◽  
P. S. Symonds
Keyword(s):  
Local Deformation ◽  
Elastic Response ◽  
Sensitive Material ◽  
Rigid Plastic ◽  
Finite Element Program ◽  
Perfectly Plastic ◽  
Portal Frame ◽  
Element Program ◽  
Loaded Column ◽  
Asymmetric Pulse

Modifications of a simple elastic-plastic technique [1-4] are shown which allow estimation of local deformation in the loaded column of a portal frame as well as the side-sway deflections of the frame. A wholly elastic response stage provides input to a simplified rigid-plastic solution, in which velocity patterns first of local and then of modal (side-sway) type occur, and which furnishes estimates of final plastic deflections. Maximum (elastic plus plastic) deflections are estimated by adding displacements corresponding to the elastic strain field defined by the stresses of the closing rigid-plastic mode. The method is described for perfectly plastic and for strain-rate sensitive material, and comparisons are shown here with values computed3 for both types of material by a finite element program. Emphasis in this paper is put on the inclusion of elastic and vicoplastic effects.

Buckle Propagation Analysis of Deep-Water Petroleum Transmission Pipelines with Axial Tension

2014 ◽  
Vol 1008-1009 ◽  
pp. 1134-1143 ◽  
Author(s):  
Sun Ting Yan ◽  
Yin Fa Zhu ◽  
Zhi Jiang Jin ◽  
Hao Ye
Keyword(s):  
Plastic Hinge ◽  
External Pressure ◽  
Isotropic Hardening ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
Fitting Procedure ◽  
Plastic Materials ◽  
Buckle Propagation ◽  
Elastic Perfectly Plastic ◽  
Hinge Model

Quasi-static finite element simulation is carried out on buckle propagation phenomenon of offshore pipelines under external pressure. Arc-length method and volume-controlled static analysis by employing hydrostatic fluid element F3D4 are employed to calculate the steady buckle propagation pressure. After verifying the validity of numerical model, emphasis is on the influence of tension on propagation pressure considering isotropic hardening elastoplastic and elastic-perfectly plastic materials. Parametric study is conducted to include the effect of diameter-thickness ratio, after which two empirical equations are derived by curve fitting procedure. Finally, some comments on the results obtained through rigid-plastic hinge model are presented and a modified plastic hinge model including effect of material anisotropy is derived. The results can serve as a reference for more reasonable design of buckle arrestors.

Dynamic Response of Blast-Loaded Stiffened Plates by Rigid-Plastic Analysis

2010 ◽  
Author(s):  
Ping Yang ◽  
Ying Peng
Keyword(s):  
Dynamic Response ◽  
Yield Curve ◽  
Bending Moment ◽  
Stiffened Plates ◽  
Flow Rule ◽  
Beam Model ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
Load Intensity ◽  
Plastic Flow Rule

The dynamic response of one-way stiffened plates with clamped edges subjected to uniformly distributed blast-induced shock loading is theoretically investigated using a singly symmetric beam model. The beam model is based on the rigid-perfectly plastic assumption. The bending moment-axial force capacity interaction relation or yield curve for singly symmetric cross-section is derived and explicitly presented. The deflection condition that a plastic string response must satisfy is determined by the linearized interaction curve and associated plastic flow rule. Moreover, the possible motion mechanisms of the beam are discussed under different load intensity. Finally the dynamic response of a one-way stiffened plate is calculated theoretically and numerically. Good agreements are obtained between the presented theoretical results and those from numerical calculations of the FEM software ANSYS and ABAQUS/Explicit. It is concluded that the basic assumptions and approximations for simplifying calculations are reasonable and the beam model in theoretical analysis is adoptable. The example also shows that an arbitrary blast load can be replaced equivalently by a rectangular type pulse.

The Influence of Large Deflections on the Behavior of Rigid-Plastic Cylindrical Shells Loaded Impulsively

1970 ◽  
Vol 37 (2) ◽  
pp. 416-425 ◽  
Author(s):  
Norman Jones
Keyword(s):  
Cylindrical Shells ◽  
Dynamic Loads ◽  
Large Deflections ◽  
Finite Deflections ◽  
Shell Material ◽  
Governing Equations ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
Dynamic Analyses ◽  
Circular Cylindrical Shells

A theoretical investigation is herein undertaken in order to examine the response of circular cylindrical shells subjected to dynamic loads of an intensity sufficient to cause large permanent deformations. The shell material is assumed to be rigid, perfectly plastic and the influence of finite deflections is retained in the governing equations. It emerges clearly from the study that geometry changes influence markedly the shell behavior even for quite small deflections and, therefore, they should be retained in any dynamic analyses of cylindrical shells with axial restraints.

Shakedown Loads for Pressure Vessels of Strain Hardening Materials

1969 ◽  
Vol 11 (3) ◽  
pp. 340-342 ◽  
Author(s):  
T. E. Taylor
Keyword(s):  
Strain Hardening ◽  
Power Law ◽  
Pressure Vessels ◽  
Strain Hardening Exponent ◽  
Rigid Plastic ◽  
Linear Elastic ◽  
Perfectly Plastic ◽  
Creep Analysis ◽  
Family Of Curves ◽  
The Relationship

A power law, well known in creep analysis, embodies a family of curves which express the stress-strain relations for a family of materials ranging from linear elastic to rigid perfectly plastic. A linearization of the relationship between stress concentration factor and the reciprocal of strain hardening exponent for geometrically similar pressure vessels made of materials within the family has enabled a view of shakedown in vessels of strain hardening materials to be formulated. The absence of discontinuities in the power law, except at the rigid plastic end point, results in shakedown loads dependent on strain hardening exponent and previous loading history.

Finite Deformations of a Rigid Perfectly Plastic Arch

1962 ◽  
Vol 29 (3) ◽  
pp. 549-553 ◽  
Author(s):  
E. T. Onat ◽  
L. S. Shu
Keyword(s):  
Closed Form ◽  
Yield Point ◽  
Finite Deformation ◽  
Closed Form Solution ◽  
Form Solution ◽  
Finite Deformations ◽  
Deformation History ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
History Of

The quasi-static postyield deformation of a rigid-plastic arch in the presence of geometry changes is considered. The problem is formulated in terms of a series of boundary-value problems concerned with rates of stress and velocities. In the present simple case, the consideration of the rate problem associated with the yield-point state of the structure enables one to construct a closed-form solution which describes the entire deformation history of the arch. However, the principal aim of the present study is to stress the central role played by the rate problem in the investigation of the finite deformation of structures.

Dynamic Behavior of Ideal Fibre-Reinforced Rigid-Plastic Beams

1976 ◽  
Vol 43 (2) ◽  
pp. 319-324 ◽  
Author(s):  
Norman Jones
Keyword(s):  
Dynamic Response ◽  
Boundary Conditions ◽  
Dynamic Behavior ◽  
Isotropic Material ◽  
Structural Response ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
Reinforced Beams ◽  
Dynamic Loadings

Theoretical solutions are developed herein for the dynamic plastic structural response of some ideal fibre-reinforced (strongly anisotropic) beams with boundary conditions and external dynamic loadings which can be reproduced easily and reliably in a laboratory. The theoretical behavior of these beams is also compared to the corresponding dynamic response of beams which are made from a rigid perfectly plastic isotropic material. Generally speaking, it appears that the permanent transverse deflections and response durations of ideal fibre-reinforced beams loaded dynamically are less than the corresponding values for similar rigid perfectly plastic isotropic beams.

Deformation Characteristics of Crashworthy Thin-Walled Steel Tubes Subjected to Bending

1989 ◽  
Vol 203 (6) ◽  
pp. 411-417 ◽  
Author(s):  
A G Mamalis ◽  
D E Manolakos ◽  
A K Baldoukas ◽  
G L Viegelahn
Keyword(s):  
Theoretical Method ◽  
Deformation Characteristics ◽  
Steel Tubes ◽  
Plastic Bending ◽  
Circular Tubes ◽  
Failure Behaviour ◽  
Perfectly Plastic ◽  
Plastic Analysis ◽  
Thin Walled ◽  
Theoretical Results

The collapse behaviour and crashworthy characteristics of cantilever circular tubes subjected to bending are studied both theoretically and experimentally. Three different fixture devices were used and their effect on failure behaviour of the tube was investigated in detail. A theoretical method, proposed by Hodge, slightly modified, is used to analyse the elastic and elastoplastic phases of bending, while a rigid-perfectly plastic analysis is developed to describe the plastic bending phase. Agreement between experimental and theoretical results was found to be quite good.

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