Calculations via Successive Approximations of Stress and Strain Distribution in Thick-Walled Concentric Tubes Due to a Radial Temperature Gradient.
ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
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When thick-walled tubes are subjected to radial temperature gradients, cooler portions of the tubes impose constraints on the thermal expansion of hotter segments. For example, in an internally heated tube, outer portions of the tube contain the expansion of the inner layer. Constraint of the thermal expansion results in triaxial stress and strain distributions. A sequence of successive approximations has been used to calculate such stress and strain fields, while accounting for the mutual effect between the stress and strain fields, as described by the constitutive equations. Equilibrium is satisfied in all three mutually orthogonal coordinate directions, and compatibility or conservation and continuity of matter requirements are being complied with. Temperature dependence of the modulus of elasticity of the material is accounted for. The Mises numbers field is computed to detect potential yielding. The total strain thermal and elastic, which at the boundaries inner and outer diameter surfaces and the axial ends of the tube represents the dilation of the tubes, is also calculated. Thick-Walls tubes, Thermal dilation, Temperature gradient.