论文部分内容阅读
建立适合铝合金材料的各向同性线性强化薄板在平面应力状态下塑性变形时厚向应变的求解模型。当加载于薄板的应力分量之比在平面内塑性变形过程中为常数时,薄板的应变分量间呈线性关系,研究发现这一系列不同应力比例和对应的应变比例值构成直线方程,即η-η线。因此,当应力分量间呈恒比例关系加载于薄板时,其厚度方向的应变可以通过η-η线方程快速得到,避免了积分和微分运算。当薄板处于更加复杂的加载状态时,其厚度可以通过提出的迭代优化算法模型得到。研究表明,计算结果与现有理论和有限元仿真结果的相对误差小于0.75%,其精度达到工程应用要求。该模型可用于航空高强铝合金厚板预拉伸工艺分析等实际应用。
A model for calculating the thickness-strain at plastic deformation of isotropic linearly-strengthened sheets suitable for aluminum alloy under plane stress is established. When the ratio of the stress components loaded on the sheet is constant during the plastic deformation in the plane, the strain components of the sheet have a linear relationship. It is found that the series of different stress ratios and corresponding strain ratios form a straight line equation, that is, η- η line. Therefore, when the stress components in a constant proportional relationship between the load on the sheet, the thickness of the strain can be obtained by η-η line equation quickly, to avoid the integral and differential operations. When the sheet is in a more complex state of loading, its thickness can be obtained by the proposed iterative optimization algorithm model. The research shows that the relative error between the calculated results and the existing theoretical and finite element simulation results is less than 0.75%, and the accuracy meets the engineering application requirements. The model can be used in aviation high strength aluminum alloy plate pre-stretching process analysis and other practical applications.