Limit Analysis of a Thin-Walled Tube Under Internal Pressure, Bending Moment, Axial Force, and Torsion

1974 ◽  
Vol 41 (3) ◽  
pp. 831-832 ◽  
Author(s):  
L. D. Larson ◽  
W. F. Stokey ◽  
J. E. Panarelli
Keyword(s):  
Internal Pressure ◽  
Axial Force ◽  
Limit Analysis ◽  
Bending Moment ◽  
Thin Walled Tube ◽  
Thin Walled

Tube-Bulging Under Internal Pressure and Axial Force

1973 ◽  
Vol 95 (4) ◽  
pp. 219-223 ◽  
Author(s):  
D. M. Woo
Keyword(s):  
Internal Pressure ◽  
Numerical Solution ◽  
Axial Force ◽  
Compressive Load ◽  
Experimental Results ◽  
Longitudinal Stress ◽  
Thin Walled Tube ◽  
Thin Walled ◽  
Tube Bulging

A numerical solution for analysis of the bulging process of a thin-walled tube under internal pressure and axial force is proposed. The solution is applied to a case in which the longitudinal stress resulted from internal pressure and external compressive load is tensile along the whole length of the bulged tube. To verify whether the solution is applicable, theoretical and experimental results on the bulging of copper tubes have been obtained and are compared in this paper.

The Assessment of Locally Thinned Areas Subject to a Hoop Stress and an Axial Stress: Background to the Guidance Given in Annex G of BS 7910:2013

2019 ◽  
Author(s):  
Andrew Cosham ◽  
Robert Andrews
Keyword(s):  
Internal Pressure ◽  
Axial Force ◽  
Hoop Stress ◽  
Axial Stress ◽  
Bending Moment ◽  
Full Scale ◽  
Plane Bending

Abstract Annex G Assessment of locally thinned areas (LTAs) in BS 7910:2013 is applicable to LTAs in cylinder, a bend and a sphere or vessel end. It can be used to assess the longitudinally-orientated LTA in a cylinder subject to a hoop stress and a circumferentially-orientated LTA in a cylinder subject to an axial stress (due to axial force, in-plane bending moment and internal pressure), and also to assess an LTA subject to a hoop stress and an axial stress. An outline of the origins of Annex G is given. A comparison with full-scale burst tests of pipes or vessels containing LTAs subject to a hoop stress and an axial stress is presented. It is demonstrated that the method in G.4.3 Hoop stress and axial stress is conservative.

CONTINUUM DAMAGE MECHANICS ANALYSIS OF THIN-WALLED TUBE UNDER CYCLIC BENDING AND INTERNAL CONSTANT PRESSURE

2013 ◽  
Vol 05 (04) ◽  
pp. 1350038 ◽  
Author(s):  
H. YAZDANI ◽  
A. NAYEBI
Keyword(s):  
Internal Pressure ◽  
Damage Mechanics ◽  
Low Cycle Fatigue ◽  
Kinematic Hardening ◽  
Damage Model ◽  
Continuum Damage Mechanics ◽  
Continuum Damage ◽  
Cyclic Bending ◽  
Thin Walled Tube ◽  
Thin Walled

Ratcheting and fatigue damage of thin-walled tube under cyclic bending and steady internal pressure is studied. Chaboche's nonlinear kinematic hardening model extended by considering the effect of continuum damage mechanics employed to predict ratcheting. Lemaitre damage model [Lemaitre, J. and Desmorat, R. [2005] Engineering Damage Mechanics (Springer-Verlag, Berlin)] which is appropriate for low cyclic loading is used. Also the evolution features of whole-life ratcheting behavior and low cycle fatigue (LCF) damage of the tube are discussed. A simplified method related to the thin-walled tube under bending and internal pressure is used and compared well with experimental results. Bree's interaction diagram with boundaries between shakedown and ratcheting zone is determined. Whole-life ratcheting of thin-walled tube reduces obviously with increase of internal pressure.

Small deformations of a nonlinear viscoelastic tube: theory and application to polypropylene

1976 ◽  
Vol 281 (1306) ◽  
pp. 543-566 ◽  
Keyword(s):  
Axial Force ◽  
Tensile Strain ◽  
Strain Tensor ◽  
Cylindrical Tube ◽  
Proportional Loading ◽  
Shear Creep ◽  
Nonlinear Viscoelastic ◽  
Thin Walled Tube ◽  
Thin Walled ◽  
Small Deformations

The response of an isotropic, nonlinear viscoelastic, thin-walled tube to combinations of axial force F , axial couple G and pressure difference p is considered theoretically and experimentally. Theory is based on the membrane theory of thin shells, applied to a thin-walled circular cylindrical tube. The components of two dimensional stress and strain in the wall of the tube are derived, allowing for arbitrarily large deformations; but restriction to small deformations is shown to be necessary if the history of stress is to be controlled at will through F , G and p . For arbitrary choice of F , G and p as functions of time the strain is shown to depend on three stress tensors P , Q , R independent of time, and three scalar functions of time. An expression for the linear strain tensor in terms of P , Q , R is obtained which involves four scalar functions ϕ 0 , ϕ 1 , ϕ 2 , ϕ 3 . These functions depend on the invariants of P , Q , R and on the three scalar functions of time. If any one of P , G , p is always zero then R = 0 and only ϕ 0 , ϕ 1 , ϕ 2 are required. In the case of proportional loading ( Q = R = 0 ) only ϕ 0 and ϕ 1 are required and any one of the three strain components can be calculated from the remaining two. Creep and recovery experiments under simultaneous axial force and couple were conducted on a thin-walled tube of polypropylene at 65.5 °C. Theory was used to calculate the circumferential tensile strain from the measured shear strain and longitudinal tensile strain. For this particular tube ϕ 0 and ϕ 1 were found to be related in a special manner, implying that nonlinearity can be adcquatcly described by allowing the shear creep compliance to change with stress history. By varying separately combinations of the invariants of P , ϕ 1 was found to depend on both hydrostatic and deviatoric components ofthe applied stress.

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