GOAL-ORIENTED MODEL ADAPTIVITY IN STOCHASTIC ELASTODYNAMICS: SIMULTANEOUS CONTROL OF DISCRETIZATION, SURROGATE MODEL AND SAMPLING ERRORS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal for Uncertainty Quantification Année : 2020

GOAL-ORIENTED MODEL ADAPTIVITY IN STOCHASTIC ELASTODYNAMICS: SIMULTANEOUS CONTROL OF DISCRETIZATION, SURROGATE MODEL AND SAMPLING ERRORS

Pierre Kerfriden
S. Claus
  • Fonction : Auteur
I. Mihai
  • Fonction : Auteur
Pedro Bonilla-Villalba
  • Fonction : Auteur
A. Kundu

Résumé

Abstract We develop a novel unfitted finite element solver for composite materials with quasi-1D fibrous reinforcements. The method belongs to the class of mixed-dimensional non-conforming finite element solvers. The fibres are treated as 1D structural elements that may intersect the mesh of the embedding structure in an arbitrary manner. No meshing of the unidimensional elements is required. Instead, fibre solution fields are described using the trace of the background mesh. A regularised “cut” finite element formulation is carefully designed to ensure that analyses using such non-conforming finite element descriptions are stable. We also design a dedicated primal/dual operator splitting scheme to resolve the coupling between structure and fibrous reinforcements efficiently. The novel computational strategy is applied to the solution of stiff computational models whereby fibrous reinforcements may lose their bond to the embedding material above a certain level of stress. It is shown that the primal-dual 1D/3D CutFEM scheme is convergent and well-behaved in variety of scenarios involving such highly nonlinear structural computations.

Dates et versions

hal-03507515 , version 1 (03-01-2022)

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Citer

Pierre Kerfriden, S. Claus, I. Mihai, Pedro Bonilla-Villalba, A. Kundu. GOAL-ORIENTED MODEL ADAPTIVITY IN STOCHASTIC ELASTODYNAMICS: SIMULTANEOUS CONTROL OF DISCRETIZATION, SURROGATE MODEL AND SAMPLING ERRORS. International Journal for Uncertainty Quantification, 2020, 10 (3), pp.195-223. ⟨10.1615/Int.J.UncertaintyQuantification.2020031735⟩. ⟨hal-03507515⟩
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