A simple approach for finite element simulation of reinforced plates

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Cut finite element method

Discontinuous Galerkin

Euler–Bernoulli beam

Kirchhoff–Love plate

Reinforced plate

Galerkin methods

Plates (structural components)

Reinforcement

Bernoulli

Finite element simulations

Finite element space

Kirchhoff

Optimization loop

Piecewise polynomials

Finite element method

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