A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction

TL;DR

This paper introduces a layer decomposition algorithm for variational inequality models to accurately simulate multi-layer elastic contact systems with Tresca friction, validated through numerical experiments in pavement mechanics.

Contribution

It proposes a novel layer decomposition method with proven convergence for variational inequality models in multi-layer elastic contact systems with interlayer Tresca friction.

Findings

Algorithm converges successfully in numerical tests.

Model effectively simulates interlayer contact with Tresca friction.

Numerical results confirm the method's practicality in pavement mechanics.

Abstract

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.