THERMALLY INDUCED DEFORMATIONS OF COMPOSITE TUBES SUBJECTED TO A NONUNIFORM HEAT SOURCE

摘要

Analytical solutions are obtained for thermally induced axisymmetric elastic and elastic-plastic deformations in nonuniform heat-generating composite tubes with fixed ends. Thermoelastic solutions are obtained using four different boundary conditions: (ⅰ) free, (ⅱ) radially constrained and free, (ⅲ) free and pressurized, (ⅳ) free and radially constrained. Elastic-plastic solutions are obtained for a composite tube having free inner and radially constrained outer boundaries using Tresca 's yield condition and its associated flow rule. The first two stages of elastic-plastic deformations are studied considering nonlinearly hardening, linearly hardening, and perfectly plastic material behavior. The theory developed is illustrated in several numerical examples.