中文摘要：

采用混合交换法修正无网格移动最小二乘近似函数,以便直接施加边界条件;采用伽辽金法构建速度场刚度矩阵;采用配点法构建温度场刚度矩阵;采用间接耦合法将速度场与温度场耦合求解;最终推导出了刚塑性无网格法热力耦合计算公式,实现了纵连轧过程的热力耦合模拟。通过数值模拟与实验研究对比表明,模拟结果与实验结果吻合度较高,充分验证了本文给出的无网格法的可靠性和正确性。

英文摘要：

In this paper,the meshless moving least square approximated functions were corrected by using the mixed transformation method in order to enforce the essential boundary conditions.The stiffness matrices of the velocity field were the temperature field were constructed using the meshless Galerkin method and the meshless collocation method,respectively.The solutions of the two coupled fields were calculated with the indirect coupling method.Finally a formula was derived for the rigid-plastic meshless thermo-mechanically coupled analysis for the simulation of the continual mandrel rolling process.The comparison between the simulation and the experiments shows good accordance,validating the reliability and precision of our meshless method.