Numerical solution of curved pipes submitted to in-plane loading conditions

[1]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[2]  G. M.,et al.  A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.

[3]  J Spence,et al.  In-plane bending of a large 90° smooth bend , 1966 .

[4]  A. Kalnins,et al.  Thin elastic shells , 1967 .

[5]  D. H. Cheng,et al.  On Bending of Curved Circular Tubes , 1970 .

[6]  R. Kitching,et al.  CHAPTER 7 – Smooth and Mitred Pipe Bends , 1970 .

[7]  S. S. Gill,et al.  The Stress Analysis of Pressure Vessels and Pressure Vessel Components , 1970 .

[8]  H. Ohtsubo,et al.  Stress Analysis of Pipe Bends by Ring Elements , 1978 .

[9]  G. Thomson The influence of end constraints on pipe bends : a study of smooth pipe bends with flange and tangent pipe end constraints under in-plane bending , 1980 .

[10]  Klaus-Jürgen Bathe,et al.  A Simple and Effective Pipe Elbow Element—Pressure Stiffening Effects , 1982 .

[11]  H. Öry,et al.  Stress and stiffness calculation of thin-walled curved pipes with realistic boundary conditions being loaded in the plane of curvature , 1983 .

[12]  Gangan Prathap,et al.  The curved beam/deep arch/finite ring element revisited , 1985 .

[13]  P.M.S.T. de Castro,et al.  A reduced integration mindlin beam element for linear elastic stress analysis of curved pipes under generalized in-plane loading , 1992 .

[14]  F J M Q Melo,et al.  The linear elastic stress analysis of curved pipes under generalized loads using a reduced integration finite ring element , 1997 .

[15]  Igor Orynyak First approximation to elastic analysis of end-effects in pipe bends , 2002 .

[16]  E. M. M. Fonsecaa,et al.  Determination of flexibility factors in curved pipes with end restraints using a semi-analytic formulation , 2002 .

[17]  E.M.M. Fonseca,et al.  The thermal and mechanical behaviour of structural steel piping systems , 2005 .

[18]  E.M.M. Fonseca,et al.  Numerical analysis of piping elbows for in-plane bending and internal pressure , 2006 .

[19]  E. M. M. Fonsecaa,et al.  Numerical analysis of piping elbows for in-plane bending and internal pressure , 2006 .