2017/06/05 by Erik Burman, Burman, Erik, Peter Hansbo +3
Decision Sciences · Engineering · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering #Probabilistic and Robust Engineering Design
paper · pdf · doi:10.48550/arxiv.1706.01222
openalex publication_date 2017/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We present a new approach for adding Bernoulli beam reinforcements to Kirchhoff plates. The plate is discretised using a continuous/discontinuous finite element method based on standard continuous piecewise polynomial finite element spaces. The beams are discretised by the CutFEM technique of letting the basis functions of the plate represent also the beams which are allowed to pass through the plate elements. This allows for a fast and easy way of assessing where the plate should be supported, for instance, in an optimization loop.