具有界面滑移和无限记忆的层合梁
Laminated Timoshenko beams with interfacial slip and infinite memories
摘要：
本文研究了三种具有界面滑移和两种对横向位移和转角有影响的无限记忆的结构的适定性和稳定性。我们考虑了一个大类的内核，并证明了该系统有一个唯一的解决方案，满足一些正则性。此外，没有限制的参数的值，我们表明，解决方案在无穷远趋于零，并给出了它的收敛速度在无穷远的增长的内核方面的信息。对所得理论结果进行了数值分析。
英文摘要：
We study in this paper the well-posedness and stability of three structures with interfacial slip and two infinite memories effective on the transverse displacement and the rotation angle. We consider a large class of kernels and prove that the system has a unique solution satisfying some regularity properties. Moreover, without restrictions on the values of the parameters, we show that the solution goes to zero at infinity and give an information on its speed of convergence in terms of the growth of kernels at infinity. A numerical analysis of the obtained theoretical results will be also given.
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