In this paper, we study the long-time dynamics of solutions to strain gradient viscoelastic plates equations taking into account micro-inertia effects and subjected to three different types of external nonlinear terms. First we derive briefly the equations of strain gradient viscoelastic plate corresponding to anti-plane shear deformations which is assumed to be consistent with the Mindlin Form II. Based on semigroup theory, we prove the existence and uniqueness of global solution. Then, we show that the existence of finite dimensional global attractors depends on the value of the micro-inertia parameter (whether or not zero) and on the assumptions on the external non-linearities. Sufficient conditions on existence of exponential and global minimal attractors can be deduced. Finally, we show the upper-semicontinuity of global attractors with respect to the micro-inertia parameter.

在本文中，我们研究了考虑微惯性效应并受到三种不同类型的外部非线性项的应变梯度粘弹性板方程解的长期动力学。首先，我们简要地推导出应变梯度粘弹性板对应于反平面剪切变形的方程，假设与Mindlin 形式II 一致。基于半群理论，我们证明了全局解的存在唯一性。然后，我们表明有限维全局吸引子的存在取决于微惯性参数的值（无论是否为零）和对外部非线性的假设。可以推导出指数和全局最小吸引子存在的充分条件。最后，