一次元的温度分布を有する矩形板の熱弾塑性応力問題に関する研究(第2報)

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This paper is concerned with the elastoplastic thermal stresses in rectangular plate subjected to repeated thermal cycles which has unsymmetrical temperature distribution. The basic assumptions and the theory used herein are the same as in the previous report. Hence, the general equations are briefly reviewed in dimensionless forms. Some numerical calculations are performed for the typical cases as shown in Fig. 1,in order to investigate the effects of repeating of the thermal cycles and strain-hardening of the material.It is demonstrated that the uniform heating or cooling does not necessarily cause simultaneous loading or unloading respectively, and for such cases a step-by-step procedure in time must be used inevitably. The experimental verifications are also performed in which the thermally induced deflections and the residual stresses after the given thermal cycles are measured. Although it is indicated that the theoretical values are somewhat lower because of the notable hardening in the early stage of the plastic deformation of the material at elevated temperatures, the results of the analyses are practically good compared with the experimental measurements.
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