Discontinuous Finite Cell Method for the Problems of Solid Mechanics

• Applicant: Professor Jamshid Parvizian, Ph.D.
• Subject Area: Applied Mechanics, Statics and Dynamics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 549387979

The primary objective of this research is to investigate and develop the discontinuous variant of the Finite Cell Method (FCM) and explore its potential in simulating problems with or without discontinuities. By dividing the computational domain into cells, each with its own approximation functions, the discontinuous version of FCM can also enhance the convergence rate of the FCM, and its capacities in dealing with complex geometries. This research endeavors also to examine the effectiveness of the discontinuous FCM in accurately modeling solid mechanics problems, including those involving intentional discontinuities such as material or geometric interfaces. The proposal provides a comprehensive overview of the research methodology, encompassing the theoretical framework, numerical implementation strategies, and validation techniques. Additionally, the project includes an in-depth analysis of the advantages and limitations of the discontinuous variant in comparison to existing methods such as the finite element method or traditional FCM.

• DFG Programme: Research Grants