| 引用本文: | 姜兴睿,章顺虎,王春举,李寅雪,田文皓.积分中值屈服准则解析厚板轧制椭圆速度场[J].哈尔滨工业大学学报,2020,52(5):41.DOI:10.11918/201910203 |
| JIANG Xingrui,ZHANG Shunhu,WANG Chunju,LI Yinxue,TIAN Wenhao.Analysis of elliptical velocity field in heavy plate rolling by integral mean value yield criterion[J].Journal of Harbin Institute of Technology,2020,52(5):41.DOI:10.11918/201910203 |
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| 积分中值屈服准则解析厚板轧制椭圆速度场 |
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姜兴睿1,章顺虎1,王春举2,3,李寅雪1,田文皓1
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(1.苏州大学 沙钢钢铁学院,江苏 苏州 215021; 2.苏州大学 机电工程学院,江苏 苏州 215021; 3.哈尔滨工业大学 金属精密热加工国家级重点实验室,哈尔滨 150001)
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| 摘要: |
| 为解决非线性Mises比塑性功率积分困难以及由此导致的轧制功率解析式难以获得的问题,本文通过建立并利用线性比塑性功率表达式对提出的椭圆速度场进行能量分析,得到了轧制力能参数的解析解.文中通过对变角度屈服函数求积分中值,构建了一个新的屈服准则,它是主应力分量的线性组合,在π平面上的轨迹是逼近Mises圆的等边非等角的十二边形,其基于Lode参数表达式的理论结果也与实验数据吻合较好.同时,根据厚板轧制时金属流动速度从入口到出口逐渐增大的特点,提出了水平速度分量满足椭圆方程的速度场,该速度场满足运动许可条件.通过相应的轧制能量分析,获得了基于线性屈服准则的内部变形功率以及基于应变矢量内积法上的摩擦功率与剪切功率.在此之上,通过泛函的极值变分导出了轧制力矩、轧制力以及应力状态系数的解析解,并与现场实测数据进行了对比,结果表明利用本文提出的屈服准则与速度场所建立的轧制力矩与轧制力模型与实测值吻合较好,其中轧制力误差小于5.3%,轧制力矩误差在6%左右. |
| 关键词: 屈服准则 塑性变形 轧制力 速度场 解析解 |
| DOI：10.11918/201910203 |
| 分类号:TG331 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(U5,6)； 江苏省优秀青年基金(BK20180095)； 苏州市重点产业技术创新项目-前瞻性应用研究(SYG201806) |
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| Analysis of elliptical velocity field in heavy plate rolling by integral mean value yield criterion |
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JIANG Xingrui1,ZHANG Shunhu1,WANG Chunju2,3,LI Yinxue1,TIAN Wenhao1
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(1.School of Iron and Steel, Soochow University, Suzhou 215021, Jiangsu, China; 2.School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215021, Jiangsu, China; 3.National Key Laboratory for Precision Hot Processing of Metals, Harbin Institute of Technology, Harbin 150001, China)
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| Abstract: |
| In order to solve the problems that it is difficult to integrate the nonlinear Mises specific plastic power and that the corresponding total rolling power is hard to be calculated analytically, this paper establishes the expression of an linear specific plastic power to analyze the energy of the proposed elliptical velocity field and obtains an analytical solution of rolling force and energy parameters. In this paper, a new yield criterion linearly combined of principle stress components is established by calculating the integral mean value of the variable angle yield function. Its locus on the π-plane is a dodecagonal shape with equal sides and unequal angles, and its Lode parameter expression result was in good agreement with the experimental data. Meanwhile, according to the characteristic that the metal flow velocity increases gradually from the entrance to the exit of heavy plate, a velocity field whose horizontal velocity component satisfies the elliptic equation was proposed, which meets the kinematic admission condition. With the rolling energy analysis, the internal deformation power based on the proposed linear yield criterion, as well as the friction power and the shear power based on the strain vector internal product method were obtained. On this basis, the analytical solutions of rolling torque, rolling force, and stress state coefficient were obtained by the extreme variation of functional, which were compared with the measured data. Results show that the rolling torque and the rolling force obtained by using the yield criterion and the velocity field proposed in this paper were in good agreement with the measured values, where the rolling force error was less than 5.3% and the rolling torque error was about 6%. |
| Key words: yield criterion plastic deformation rolling force velocity field analytical solution |
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