一种用于具有层间Tresca摩擦的多层弹性接触系统的层分解方法
A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction
AI总结：
本文针对具有层间Tresca摩擦的多层弹性接触系统变分不等式模型，提出并证明了层分解算法的连续与离散版本及其收敛性，并通过数值实验验证了其在路面力学建模中的实用性。
摘要：
随着对路面力学数值模拟精度需求的不断提高，能够模拟层间接触状态的变分不等式模型及其诱导的有限元方法成为一种潜在的解决方案。本文研究了一种用于求解具有层间Tresca摩擦条件的多层弹性接触系统变分不等式模型的层分解算法。先后提出并证明了该算法的连续版本和离散版本及其收敛定理。随后，可执行优化算法的代数形式和数值实验结果验证了该变分不等式模型及其算法在路面力学建模中的实用性。
英文摘要：
With the increasing demand for the accuracy of numerical simulation of pavement mechanics, the variational inequality model and its induced finite element method which can simulate the interlayer contact state becomes a potential solution. In this paper, a layer decomposition algorithm for solving variational inequality models of multi-layer elastic contact systems with interlayer Tresca friction conditions is studied. Continuous and discrete versions of the algorithm and their convergence theorems have been proposed and proved successively. Then, the algebraic form of the executable optimization algorithm and the numerical experimental results verify the practicability of the variational inequality model and its algorithm in the pavement mechanics modeling.
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