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Open AccessArticle

Failure Assessment of Layered Composites Subject to Impact Loadings: a Finite Element, Sigma-Point Kalman Filter Approach

Politecnico di Milano, Dipartimento di Ingegneria Strutturale, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Algorithms 2009, 2(2), 808-827; https://doi.org/10.3390/a2020808
Received: 1 April 2009 / Accepted: 27 May 2009 / Published: 4 June 2009
(This article belongs to the Special Issue Numerical Simulation of Discontinuities in Mechanics)
We present a coupled finite element, Kalman filter approach to foresee impactinduced delamination of layered composites when mechanical properties are partially unknown. Since direct numerical simulations, which require all the constitutive parameters to be assigned, cannot be run in such cases, an inverse problem is formulated to allow for modeling as well as constitutive uncertainties. Upon space discretization through finite elements and time integration through the explicit ®¡method, the resulting nonlinear stochastic state model, wherein nonlinearities are due to delamination growth, is attacked with sigma-point Kalman filtering. Comparison with experimental data available in the literature and concerning inter-laminar failure of layered composites subject to low-velocity impacts, shows that the proposed procedure leads to: an accurate description of the failure mode; converged estimates of inter-laminar strength and toughness in good agreement with experimental data. View Full-Text
Keywords: layered composites; impact-induced delamination; Kalman filter; sigma-point transformation layered composites; impact-induced delamination; Kalman filter; sigma-point transformation
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Mariani, S. Failure Assessment of Layered Composites Subject to Impact Loadings: a Finite Element, Sigma-Point Kalman Filter Approach. Algorithms 2009, 2, 808-827.

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