3 papers
math.NA2024
Mixed Finite Element Method for Multi-layer Elastic Contact Systems
Zhizhuo Zhang, Mikaël Barboteu, Xiaobing Nie +3
With the development of multi-layer elastic systems in the field of engineering mechanics, the corresponding variational inequality theory and algorithm design have received more a…
math.NA2024
A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction
Zhizhuo Zhang, Xiaobing Nie, Mikaël Barboteu +1
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…
math.NA2024
Variational inequalities of multilayer elastic systems with interlayer friction: existence and uniqueness of solution and convergence of numerical solution
Zhizhuo Zhang, Xiaobing Nie, Jinde Cao
Based on the mathematical-physical model of pavement mechanics, a multilayer elastic system with interlayer friction conditions is constructed. Given the complex boundary condition…