Co-Investigators:
Annotation:
The proposed project deals with the development of innovative and robust numerical dynamics methods specialized for solving high-speed impact problems. In the first phases of the project, the objective will be to complete a finite element method (FEM) solver considering nonlinear material models and large deformations with an implemented method for domain (spatial) decomposition via Localized Lagrange Multiplier Method (LLM), which will allow robust parallelization of the computations. The benefits of parallelization lie in the potential to solve complex nonlinear problems of millions of degrees of freedom in acceptable time period. The LLM method will be applied for coupling domains of different dimensions (typically 1D and 3D), allowing the structure of modern materials to be directly modelled, rather than using homogenised constitutive models. In the area of time discretization, advanced methods for direct time integration will be developed. Namely, an asynchronous integration algorithm will be generalized to allow computations to be performed on individual domains with their own time step, and a procedure considering Helmholtz decomposition of the displacement field will be developed to separately compute longitudinal and shear waves that differ in phase velocity and hence in the critical time step that enters the computation. These procedures have a critical impact on the quality of the solution of dynamic impact problems using FEM and direct time integration, which is prone to dispersion. The synergy of parallel computation, mastered domain decomposition using LLM, and the use of innovative methods for direct time integration will enable direct and precise computation of materials of complex structures by large-scale numerical models, e.g., even with time-varying material parameters (piezoelectricity). In the advanced phases of the project, the primary focus will be on smooth particle hydrodynamics (SPH) method, material point method (MPM), particle finite e
Department:
Year:
2022 - 2024
Program:
Studentská grantová soutěž ČVUT - SGS22/196/OHK2/3T/16