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Equilibrium of a half-cylinder cut from the pipe under the action of the internal pressure

Equilibrium of a half-cylinder cut from the pipe under the action of the internal pressure

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Article
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In this paper, strengthening of a steel pipe with a composite wrap is analyzed. An analytical model taking into account joint reaction of the pipe and the wrap, two-dimensional stress state and plastic strains in the pipe wall is developed. Verification of the model is performed by comparison of the numerical results to the full-scale test results...

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Context 1
... radial stresses are neglected, and the stress-state in the steel pipe is regarded as plane stress state. The essential components of the stress tensor are the longitudinal (axial) stress  (Fig.1). ...
Context 2
... the equilibrium of a half-cylinder of a unit length cut from the wrapped pipe (Fig. 1). The equilibrium equation in the hoop direction takes the ...
Context 3
... the use of composite wrap presents an effective tool for strengthening of the pipeline subjected to the internal pressure. Fig .10 Illustrates the relation between the hoop strain 2  and the wrap thickness w t for three levels of internal pressure p = 13, 15, and 17 MPa (curves 1, 2, and 3, correspondingly). ...
Context 4
... higher pressures the effect of strain reduction with the growth of w t becomes more pronounced. The relation between the hoop stress and the wrap thickness is depicted in Fig.11, a for the steel pipe, and Fig 11, b for the composite wrap. ...
Context 5
... higher pressures the effect of strain reduction with the growth of w t becomes more pronounced. The relation between the hoop stress and the wrap thickness is depicted in Fig.11, a for the steel pipe, and Fig 11, b for the composite wrap. The results are given in non-dimensional form. ...
Context 6
... example, for the pressure p = 17 MPa, the growth of w t from 5 to 25 mm produces the reduction of hoop stress in pipe wall from 0.95 u  to 0.82 u  , and the reduction of hoop stress in composite wrap from 0.96 uw 2  to 0.27 uw 2  . The effect of pressure level in Fig.11 is analogous to It can be noted that the correspondence of the analytical and the finite-element results is better for the composite wrap. The curves representing the finite-element results for the pipe wall hoop stress go higher than the analytical curves. ...
Context 7
... pipe and the wrap materials are modeled with a number of finite elements through the thickness with no special assumption on the strain distribution. As can be seen from Fig.7 -11, the analytical and the finite-element results are rather close which support the adopted assumption. On the other hand, as stated in Section 2, the relative error from the constant hoop strain assumption has the order of thickness to diameter ratio. ...

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