C. M. Murea
Abstract: We study numerically the dynamic impact/contact of an elastic body on a moving foundation using the mid-point algorithm. Stability results are presented when the foundation is decreasing. Numerical simulations on two-dimensional problems are included and we show that the energy is absorbed in the case of a decreasing foundation compared to the fixed one.
MSC: 74H15, 74S05, 65M12.
keywords: dynamic elasticity, frictionless contact, numerical methods, stability.
DOI 10.56082/annalsarscimath.2023.1-2.352
†cornel.murea@uha.fr, Département de Mathématiques, IRIMAS, Université de Haute Alsace, France.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
