A More Rational Approach to the Stress Analysis of Gun Tubes,
ROCK ISLAND ARSENAL ILL GENERAL THOMAS J RODMAN LAB
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On the basis of the Prandlt-Reuss stress-strain rule, the von Mises flow criterion, and the strain-hardening and compressibility properties of a material, an incremental theory is proposed in this paper for solving the problem of elastoplastic thick-walled tubes subjected to both mechanical and transient thermal loadings. In the developed method, incremental stresses and strains are directly used as variables hence, numerical differentiation in the evaluation of stresses and strains is not required. Moreover, since no assumption is made on the displacement field, this method can provide better results than those of the finite-element methods. Since the consideration of stress, strain, loading, and temperature history is involved in the analysis, the present theory is particularly suitable for predicting stress and strain distribution, and location of elastic-plastic boundaries of a thick-walled cylinder such as a gun tube subjected to nonproportionate mechanical and transient thermal loadings.