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A Quasi-static Computational Model for Fracture in Multidomain Structures with Inclusions

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Proceedings of the 5th International Conference on Numerical Modelling in Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

A computational model for dealing with fracture in materials with inclusions is considered. The proposed model allows to predict crack initiation and growth in quasi-brittle materials. The inclusions cause that cracks may appear inside the matrix materials or along matrix-inclusion interfaces. The present model can treat them both using two internal variables in a form considered in damage mechanics so that crack formation process is a consequence of a material degradation. The first of the damage variables is defined at matrix-inclusion interfaces which are represented by a thin degradable adhesive layer so that an adequate stress-strain relation is rendered as in common cohesive zone models. The second variable is defined in the structural domains, matrix plus inclusions, as a phase-field fracture variable which causes domain elastic properties degradation in a narrow material strip that results in a diffuse form of a crack. Both these damaging schemes are expressed by a quasi-static energy evolution process. The numerical solution approach is thus rendered from a variational form obtained by a staggered time-stepping procedure related to a separation of deformation variables from the damage ones and using sequential quadratic programming algorithms implemented together within a MATLAB finite element code. The numerical simulations with the model include simplified structural and material elements containing one or more inclusions.

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Acknowledgements

The author acknowledges support from The Ministry of Education, Science, Research and Sport of the Slovak Republic by the grants VEGA 1/0374/19 and VEGA 1/0363/21.

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Authors and Affiliations

  1. Faculty of Civil Engineering, Technical University of Košice, Vysokoškolská 4, 042 00, Košice, Slovakia

    Roman Vodička

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  1. Roman Vodička
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Correspondence to Roman Vodička .

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Editors and Affiliations

  1. Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium

    Magd Abdel Wahab

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Vodička, R. (2023). A Quasi-static Computational Model for Fracture in Multidomain Structures with Inclusions. In: Abdel Wahab, M. (eds) Proceedings of the 5th International Conference on Numerical Modelling in Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-0373-3_4

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  • DOI: https://doi.org/10.1007/978-981-99-0373-3_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-0372-6

  • Online ISBN: 978-981-99-0373-3

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