Asynchronously in Time Integrated Interface Dynamics Problem While Maintaining Zero Interface Energy

Abstract

The problem of the linear elastodynamics including domain decomposition via localized Lagrange multipliers method is solved using finite element method and direct time integration. The time integration of the subdomains is performed separately with different time steps with arbitrary ratio. The asynchronous integrator scheme is generalized for multiple subdomain problem with any number of constraints between them. The exact continuity of the displacement, velocity, and acceleration fields at the interface is satisfied. The proposed method is applied to the rectangular step pulse propagation problem considering the linearly varying Young modulus in space as well as the bi-material interface problem. To prove the robustness and the accuracy, the comparison with analytical solution and conventional codes output is provided. 1947COMPDYN 2023 9 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis (eds.