scholarly journals A Numerical Analysis of In-Plane Elastic-Plastic Bending of Curved Tubes. 1st Report. A Case of Pure Bending.

1991 ◽  
Vol 57 (541) ◽  
pp. 2085-2090
Author(s):  
Toshihiro ITO ◽  
Koichiro KAWASHIMA ◽  
Takeshi YASUHO
Keyword(s):  
Numerical Analysis ◽  
Pure Bending ◽  
Plastic Bending ◽  
Elastic Plastic

Displacements in a Wide Curved Bar Subjected to Pure Elastic-Plastic Bending

1957 ◽  
Vol 24 (3) ◽  
pp. 447-452
Author(s):  
Bernard W. Shaffer ◽  
Raymond N. House
Keyword(s):  
Applied Load ◽  
Bending Moment ◽  
Incompressible Material ◽  
Pure Bending ◽  
Plastic Bending ◽  
Elastic Case ◽  
Elastic Plastic ◽  
Material Thickness ◽  
Perfectly Plastic ◽  
Order Of Magnitude

Abstract Equations have been obtained for the displacements and strains within a wide curved bar made of a perfectly plastic, incompressible material subjected to a pure bending moment which is sufficiently large to cause elastic-plastic stresses. It is found that whenever the applied load is within 95 per cent of the fully plastic bending moment, displacements and strains in the elastic-plastic problem are of the order of magnitude of the corresponding elastic case. It is also found that when the bending moment reaches approximately 65 per cent of the fully plastic bending moment, the change in material thickness reaches a maximum. It decreases to zero when the bar becomes completely plastic.

A General Method of Calculating the Mϵmax Diagram in Plastic Bending of Beams

1951 ◽  
Vol 18 (4) ◽  
pp. 353-358
Author(s):  
Aris Phillips
Keyword(s):  
New Method ◽  
Pure Bending ◽  
Stress Strain ◽  
Plastic Bending ◽  
Elastic Plastic ◽  
Bending Of Beams ◽  
General Method ◽  
Plastic Stress

Abstract In this paper we give a new method for finding the Mϵmax curve in the case of symmetrical pure bending of bars in plasticity. This method is both accurate and comparatively easy to use. At the end of the paper we show how it is possible to express any σ-ϵ curve as the sum of a number of elastic plastic-stress strain lines.

Technical Basis for Application of Collapse Moments for Locally Thinned Pipes Subjected to Torsion and Bending Proposed for ASME Section XI

2014 ◽  
Author(s):  
Kunio Hasegawa ◽  
Yinsheng Li ◽  
Bostjan Bezensek ◽  
Phuong H. Hoang ◽  
Howard J. Rathbun
Keyword(s):  
Power Plants ◽  
Bending Moments ◽  
Finite Element Analyses ◽  
Pure Bending ◽  
Plastic Bending ◽  
Evaluation Procedures ◽  
Wall Thinning ◽  
Applicable Range ◽  
Technical Basis ◽  
Local Wall Thinning

Piping components in power plants may experience combined bending and torsion moments during operation. There is a lack of guidance for pipe evaluation for pipes with local wall thinning flaws under the combined bending and torsion moments. ASME B&PV Code Section XI Working Group is currently developing fully plastic bending pipe evaluation procedures for pressurized piping components containing local wall thinning subjected to combined torsion and bending moments. Using elastic fully plastic finite element analyses, plastic collapse bending moments under torsions were obtained for 4 (114.3) to 24 (609.6) inch (mm) diameter pipes with various local wall thinning flaw sizes. The objective of this paper is to introduce an equivalent moment, which combines torsion and bending moments by a vector summation, and to establish the applicable range of wall thinning lengths, angles and depths, where the equivalent moments are equal to pure bending moments.

scholarly journals A numerical analysis of the elastic-plastic peel test

2006 ◽  
Vol 73 (16) ◽  
pp. 2324-2335 ◽  
Author(s):  
H. Hadavinia ◽  
L. Kawashita ◽  
A.J. Kinloch ◽  
D.R. Moore ◽  
J.G. Williams
Keyword(s):  
Numerical Analysis ◽  
Peel Test ◽  
Elastic Plastic

Response and Stability of Square Tubes Under Bending

1997 ◽  
Vol 64 (3) ◽  
pp. 649-657 ◽  
Author(s):  
S. P. Vaze ◽  
E. Corona
Keyword(s):  
Analytical Model ◽  
Cross Section ◽  
Thickness Ratio ◽  
Pure Bending ◽  
Steel Tubes ◽  
Elastic Plastic ◽  
Plastic Steel

This paper addresses the response and stability of elastic-plastic steel tubes with square cross section under pure bending. An analytical model with sufficiently nonlinear kinematics to capture the development of ripples in the compression flange was developed. the results indicate that collapse of such tubes is imperfection sensitive for tubes with “high” height-to-thickness ratio (h/t), but the sensitivity decreases as h/t decreases. Experimentally, the tubes collapse due to a limit moment instability which is followed by the formation of a kink on the compression flange of the tubes. The limit moment and the development of the kink are captured well by the analytical model.

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