Solution to time dependent strains for the following composite pressure vessel p

Question

Solution to time dependent strains for the following composite pressure vessel problem. Thanks!

The time-dependent axial stress, sigma x,(t), and the time-dependent circumferential stress, sigma y(t), in the wall of the filament-wound, thin-walled composite pressure vessel are caused by the internal pressure p(t), where t is time. The required dimensions of the vessel are the wall thickness h and the mean radius r. Note that x and y are not the principal material axes, but rather, are the longitudinal and transverse axes for the vessel. The variation of p(t) with time is also shown in the figure below. If the creep compliances associated with the x and y axes are given m contracted notation by where the and the are material constants, determine all the time-dependent strains along the x and y axes for t > 2T0. Answers should be given m terms of po: r, h. To, t and the individual and

Explanation / Answer

by hookes law stress is proportional to strain

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