Calibration of adhesion models based on the extended Kalman filtering

ABSTRACT

This paper presents a strategy to be used for the calibration of adhesion models using a modified extended Kalman filter algorithm. A constitutive model coupling unilateral contact, adhesion and damage is considered for the analysis. The effect of the uncertainties in the constitutive adhesion parameters onto the adhesion reaction force is performed considering four uncertain scenarios. Furthermore, the effect of the speed in the loading-unloading of the system is also taken into account for these analyses. The parameter estimation strategy is assessed considering noise-corrupted synthetic data, two loading profiles and two possible measurement scenarios. The results indicate the key-role played by the sensitivity analysis when estimating the constitutive adhesion parameters and highlights the low sensitivity of system responses with respect to the viscous parameter when compared to the elastic parameter and also to the parameter associated with the energy of decohesion.

KEYWORDS:

• Damage mechanics
• Kalman filter
• mechanical properties of adhesives
• statistical analysis
• uncertainty quantification

Acknowledgments

The authors would like to express their gratitude to the National Council for Scientific and Technological Development (CNPq) for its financial support under grant number 483391/2013, to Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) for its financial support under grant number AUXPE n.1197/2014, to the National Foundation of Studies and Projects (FINEP) for its financial support [grant number 01.12.0226.00.]