论文标题
混合参数配方，并应用于线性粘弹性
A mixed parameter formulation with applications to linear viscoelasticity
论文作者
论文摘要
在这项工作中，我们提出并分析了基于第二类的Volterra积分的混合变异公式的抽象依赖模型。为了进行分析，我们考虑了对Volterra方程设置中经典混合理论的适当适应，并证明了所得混合粘弹性配方的良好性。使用可用的volterra方程结果得出了错误估计，其中所有估计都与扰动参数无关。我们考虑了开发理论在粘弹性蒂莫申科束中的应用，并报告数值实验，以评估扰动参数的独立性。
In this work we propose and analyze an abstract parameter dependent model written as a mixed variational formulation based on Volterra integrals of second kind. For the analysis, we consider a suitable adaptation to the classic mixed theory in the Volterra equations setting, and prove the well posedness of the resulting mixed viscoelastic formulation. Error estimates are derived, using the available results for Volterra equations, where all the estimates are independent of the perturbation parameter. We consider an application of the developed theory in a viscoelastic Timoshenko beam, and report numerical experiments in order to assess the independence of the perturbation parameter.
