Boundary optimal control for antiplane contact problems with power-law friction

作者：

Highlights：

• A variational inequality models the antiplane shear deformation of a body in frictional contact with a foundation.

• The distance between the solution of the variational inequality and a given target can be minimized by acting with a boundary control force.

• The boundary control can be approximated by using linearization and fixed point method.

摘要

•A variational inequality models the antiplane shear deformation of a body in frictional contact with a foundation.•The distance between the solution of the variational inequality and a given target can be minimized by acting with a boundary control force.•The boundary control can be approximated by using linearization and fixed point method.

论文关键词：Nonlinear boundary value problem,Antiplane contact model,Power-law friction,Optimal control,Optimality conditions,Fixed point,Approximation

论文评审过程：Received 4 July 2019, Revised 23 February 2020, Accepted 7 June 2020, Available online 26 June 2020, Version of Record 26 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125448