Variational Principle for High-Temperature Plasticity in Alloy-Type Solid Solutions

概要

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A variational principle is proposed for the energy dissipation rate in two deformation modesin alloy-type Al -Mg solid solutions at high temperatures. For constant-stress creep the principle leads to the steady-creep law and a partial differential equation for the net dislocation-multiplication rate in nonsteady state. The solution to this equation gives the time developmentof dislocation density, from which the time development of creep strain is obtained. Fittinga theoretical creep strain vs time curve to an experimental one allows us to determine therelaxation time of creep and provides a method of measuring the average energy of a disloca-tion. For constant-strain-rate deformation, on the other luand, the principle leads to the steadydeformation law and another partial differential equation for the net dislocation-multiplicationrate in nonsteady state, On the basis of the solution to this equation, a stress vs strain relationis obtained.
社団法人日本物理学会の論文
1996-02-15