Creep Buckling of Shells

A review article gives a thorough review of creep instability of steel and other metal shells and pressure vessels at elevated temperatures. Some of the same analyses can be adopted here for polymers at lower temperatures, for example, room temperature. For example, consider the axisymmetric buckling mode of a cylindrical shell under compression. (The beam column mode can be included under column buckling. Section 4.2.) For the axisymmetric mode, where axisymmetric buckling waves occur for RJh 33, the critical buckling stress in compression is given by 

Find the critical time and the critical strain for creep buckling for an axisymmetric mode of a cylindrical shell under compression for 0, = 1600 psi, where h = 0.1 in., R = 3.0 in., v = 0.4. The solution involves an iterative method. 

This result is close for hIR = 0.1/3. For other values of /t/R iteration on estimated stress and modulus is required. 

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