Abstract In this work we study, from the numerical point of view, a thermoelastic problem involving a microstretch plate. The variational problem is written as a linear system composed of parabolic equations written in terms of the velocity field, the microrotations speed, the microstretch speed and the temperature. Then, a fully discrete approximation is introduced by using the finite element method and an Euler scheme. A priori error estimates are proved and the linear convergence of the algorithm is shown. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximations and the behavior of the solution.

中文翻译：

---

微拉伸弹性板热问题的数值分析

摘要 在这项工作中，我们从数值的角度研究了一个涉及微拉伸板的热弹性问题。变分问题被写成一个线性系统，由以速度场、微旋转速度、微拉伸速度和温度表示的抛物线方程组成。然后，通过使用有限元方法和欧拉格式引入了完全离散的近似。证明了先验误差估计并显示了算法的线性收敛性。最后，给出了一些数值模拟来证明近似的准确性和解的行为。