An Energetic Approach to Rate Independent Delamination with Cohesive Contact - An SGBEM Implementation


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A mathematical model for analysis of contact delamination problems has been developed and implemented into the program Matlab by means of the Symmetric Galerkin Boundary Element Method (SGBEM). The SGBEM numerical algorithm enables to exploit an energetic formulation which governs interface rupture. A rate-independent model of the delamination process is obtained, considering an interface damage variable. A numerical algorithm has been proposed to provide maximallydissipative local solution which yields numerically stable time-discretization. The developed 2-dimensional sample example of mathematical model demonstrates the model behaviour and its suitability in many aspects of engineering practise.



Edited by:

Kamila Kotrasova and Eva Kormanikova




J. Kšiňan and R. Vodička, "An Energetic Approach to Rate Independent Delamination with Cohesive Contact - An SGBEM Implementation", Advanced Materials Research, Vol. 969, pp. 24-27, 2014

Online since:

June 2014




* - Corresponding Author

[1] T. Roubíček, M. Kružík and J. Zeman, Delamination and adhesive contact models and their mathematical analysis and numerical treatment, in: V. Mantič (Ed. ), Mathematical Methods and Models in Composites, Imperial College Press, Prague, 2013, pp.349-400.


[2] R. Vodička, V. Mantič, An energetic approach to mixed mode delamination problem-an SGBEM implementation, in: Advances in Boundary Element and Meshless Techniques 13, Prague Czech Republic: Eastleigh: EC, Ltd., Prague, 2012, pp.319-324.

[3] R. Vodička, V. Mantič and T. Roubíček, An SGBEM implementation of quasi-static rate-independent mixed-mode delamination model: submitted to Mechanica (2014).