Construction and solution of strain model along thickness of aluminum alloy plate under plastic deformation  

塑性变形下铝合金板材厚向应变模型的构建和求解（英文）

作　　者：张舒原[1,2] 廖凯[1] 吴运新[2] 

机构地区：[1]中南林业科技大学机电工程学院,长沙410004 [2]中南大学机电工程学院,长沙410083

出　　处：《Transactions of Nonferrous Metals Society of China》2015年第10期3381-3388,共8页中国有色金属学报（英文版）

基　　金：Project(51475483)supported by the National Natural Science Foundation of China;Project(2014FJ3002)supported by Science and Technology Project of Hunan Province,China;Project supported by Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province,China

摘　　要：A thickness strain model of aluminium alloy plate under plastic deformation,based on thin plate assumption was proposed.It is found that when ratio of stress fractions is constant during in-plane loading,ratios of strain components under various loading conditions are linearly related and these points of ratios form a η-η line.Under these simple loadings,strains in thickness direction can be easily calculated by the η-η line equation without integral and differential work.When the plate is under more complicated loading conditions,the thickness can be computed by the proposed optimization and piecewise calculation model.Validation computations indicate that the relative error of the results of the presented model is less than 0.75% compared with the proven theories and FE simulation.Therefore,the developed model can be applied to engineering calculation,e.g.pre-stretching analysis of aerospace aluminium thick plate,with acceptable accuracy.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。

关 键 词：isotropic linear hardening thick plate strain model plastic deformation aluminum alloy 

分 类 号：TG146.21[一般工业技术—材料科学与工程]