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Modelling the creep of a pipe weld using Cosserat theory

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Abstract

A mathematical model is developed which describes the steady state creep in a welded pipe which is subjected to a constant uniaxial end load and/or uniform internal and external pressure. The model is based on the Cosserat theory of plates and shells and a generalisation of Norton's law. Both asymptotic and analytical solutions are found and the results reveal that bending and thinning of the pipe take place on different length scales.

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Hawkes, T.D., Craine, R.E. Modelling the creep of a pipe weld using Cosserat theory. J Eng Math 29, 517–535 (1995). https://doi.org/10.1007/BF00044120

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