部分加熱による板材の二次元熱弾塑性曲げ変形解析

概要

論文の詳細を見る
In this paper, making use of the strain increment theorem, the transient thermoelastoplastic bending problem of an infinite plate is discussed. In order to develop the analysis for the temperature field, the methods of Fourier cosine and Laplace transforms are introduced, and the theoretical solution is obtained. On the other hand, for the development of the thermoelastoplastic field, both the analytical technique of Airy's stress function method for thermoelastic behavior and the numerical technique of the finite difference method for the plastic behavior are applied. However, difficulty in applying the finite difference method may occur. It is clearly impossible to cover an infinite region with a finite difference grid. Thus we have introduced the assumption that plastic deformation is restricted to a local region. Thereafter, based on Dixon's experimental results that the stress field outside the plastic region is the same as the elastic stress field, namely, the elastic solution prevails outside the plastic region, the finite difference method is applied to the finite region predicted to show the plastic deformation. Some numerical results, such as the plastic deformation in the out-of-plane direction, are shown in figures and discussed briefly.
社団法人日本機械学会の論文
1996-03-25