Finite element simulation of contact interaction on the crack interface by the harmonic balance method

0549207 - ÚT 2022 ES eng A - Abstrakt
Kopačka, Ján - Kruisová, Alena - Kober, Jan
Finite element simulation of contact interaction on the crack interface by the harmonic balance method.
YIC GACM 2021. Valencie: Universitat Politecnica de Valencia, 2021. s. 46.
[ECCOMAS Young Investigators Conference (YIC) /6./. 07.07.2021-09.07.2021, Valencie]
Grant CEP: GA ČR(CZ) GA19-14237S
Institucionální podpora: RVO:61388998
Klíčová slova: contact-impact * finite element method * harmonic balance method
Obor OECD: Applied mechanics
https://yic2021.upv.es/wp-content/uploads/2021/07/Book-of-abstracts-YIC2021.pdf

In this work, we deal with the problem of harmonic stress wave propagation through a specimen with crack taking into account contact non-linearity. The contact initial-boundary value problem describing the problem of wave propagation is governed by the wave partial differential equation. Spatial discretization is performed by the finite element method with the linear ansatz. The resulting semi-discrete system of ordinary differential equations of second order is then integrated in time by the central difference method. Given the dimensions of the specimen and the accuracy requirements on the solution, it is necessary to choose a very fine finite element mesh and time step, which entails considerable time demands. In this work, we propose to use the harmonic balance method to speed up the calculation.
Trvalý link: http://hdl.handle.net/11104/0327460