@article{oai:kanazawa-u.repo.nii.ac.jp:00049556,
 author = {赤川, 佳穂 and 小俣, 正朗 and Akagawa, Yoshiho and Morikawa, Shuichi and Omata, Seiro},
 journal = {The Science Reports of Kanazawa University, The Science Reports of Kanazawa University},
 month = {},
 note = {We investigate a rolling contact problem in elastodynamics. Contact problems
in elasticity appear in various fields such as manufacturing and earthquake engineering. In
particular, we have in mind the application to printers, where paper sheets are driven through
the printer by rollers. A typical problem for such printers is that the roller may produce a
squeaking sound. As a step towards preventing such a sound, we study a simplified model
in which the roller is modeled as an elastic body driven by a rotation. The paper sheet is
modeled as a rigid obstacle. For simplicity, we assume no frictional forces between the
roller and the obstacle. The resulting equations of motion are of hyperbolic type with a free
boundary. The aim of the paper is to develop a numerical scheme to solve these equations
of motion. The scheme is based on a variational method called the discrete Morse flow. The
novelty is that this scheme has not been applied to a hyperbolic system with a free boundary
where the unknown function is vector-valued.},
 pages = {29--44},
 title = {A numerical approach based on variational methods to an elastodynamic contact problem},
 volume = {63},
 year = {2019}
}