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本文用连续应力——应变折线来拟合真实应力——应变曲线,根据平面应变和体积不可压缩假设,从全量理论导出了宽板弹塑性弯曲的三维应力和外力矩的解析公式,并根据求得的外力矩,计算了弹复后的中性层半径。与幂强化或刚线性强化(包括理想刚塑性)导出的解相比,本解析法明显地提高了计算精度。
In this paper, the continuous stress-strained polyline is used to fit the true stress-strain curve. According to the plane strain and volume incompressible assumptions, the analytic formulas for the three-dimensional stress and external moment of the wide-plate elastic-plastic bending are derived from the full-quantity theory, and based on the The resulting external moment calculates the radius of the neutral layer after rebound. Compared with the solution derived from power enhancement or rigid linear reinforcement (including ideal rigid plasticity), this analytical method significantly improves the computational accuracy.