What question did this study set out to answer?

The aim is to develop a numerical scheme to solve elastodynamic contact problems using variational methods.

April 1, 2026Open Access

A numerical approach based on variational methods to an elastodynamic contact problem

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Investigates a numerical scheme addressing elastodynamic contact problems in manufacturers, suggesting solutions to reduce noise in printers.

The aim is to develop a numerical scheme to solve elastodynamic contact problems using variational methods.
Investigated a rolling contact problem in elastodynamics.
Modeled the roller as an elastic body and the paper sheet as a rigid obstacle.
Assumed no friction between the roller and the obstacle.
Utilized a variational method known as discrete Morse flow for solving equations of motion.
Developed a novel numerical scheme applicable to hyperbolic systems with free boundaries.
Demonstrated the scheme's applicability to vector-valued functions in elastodynamics.

Akagawa et al. (2019) studied this question.

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Investigates a numerical scheme addressing elastodynamic contact problems in manufacturers, suggesting solutions to reduce noise in printers.