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| The usage of composites in high performance products such as aerospace components, storage tanks or racing car bodies is increasing. Typically, a lightweight yet strong material is sought, capable of withstanding harsh loading conditions. Such conditions are prone to the occurrence of cracking. The prediction of this phenomenon on composite materials is therefore an important task. Many authors have proposed methods for modelling crack propagation on homogeneous linear elastic materials. Extending these for highly heterogeneous materials presents several issues. The equations describing the elastic behaviour of composites are quite complex due to their highly oscillating coefficients. Accounting for how the internal material interfaces influence the direction of crack propagation is an added difficulty. Here a multiscale model is proposed to deal with brittle crack propagation on highly heterogeneous elastic two-phase composites. An automated incremental algorithm is employed to predict the path of a pre-existent crack in a 2D plate. Elasticity problems are solved employing homogenisation and a finite element analysis. The maximum circumferential stress criterion is adopted and the interactions between the crack and the material interfaces are modelled. It is shown that this procedure allows virtually the same accuracy as a full mesoscopic analysis, requiring reasonable computational effort. | 235.93 KB | Adobe PDF |
Authors
Advisor(s)
Abstract(s)
The usage of composites in high performance products such as aerospace components, storage tanks or racing car bodies is increasing. Typically, a lightweight yet strong material is sought, capable of withstanding harsh loading conditions. Such conditions are prone to the occurrence of cracking. The prediction of this phenomenon on composite materials is therefore an important task. Many authors have proposed methods for modelling crack propagation on homogeneous linear elastic materials. Extending these for highly heterogeneous materials presents several issues. The equations describing the elastic behaviour of composites are quite complex due to their highly oscillating coefficients. Accounting for how the internal material interfaces influence the direction of crack propagation is an added difficulty. Here a multiscale model is proposed to deal with brittle crack propagation on highly heterogeneous elastic two-phase composites. An automated incremental algorithm is employed to predict the path of a pre-existent crack in a 2D plate. Elasticity problems are solved employing homogenisation and a finite element analysis. The maximum circumferential stress criterion is adopted and the interactions between the crack and the material interfaces are modelled. It is shown that this procedure allows virtually the same accuracy as a full mesoscopic analysis, requiring reasonable computational effort.
Description
Conference date - 30 August 2010 - 3 September 2010; Conference code - 93905
Fontes: https://research.tue.nl/en/publications/an-iterative-method-for-the-prediction-of-crack-propagation-on-hi/ https://scholar.google.com/scholar?q=An%20iterative%20method%20for%20the%20prediction%20of%20crack%20propagation%20on%20highly%20heterogeneous%20media
Fontes: https://research.tue.nl/en/publications/an-iterative-method-for-the-prediction-of-crack-propagation-on-hi/ https://scholar.google.com/scholar?q=An%20iterative%20method%20for%20the%20prediction%20of%20crack%20propagation%20on%20highly%20heterogeneous%20media
Keywords
Brittle crack propagation inclusions highly heterogeneous materials mesoscopic length scale
Pedagogical Context
Citation
Patricio Dias, M. J., & Hochstenbach, M. E. (2010). An iterative method for the prediction of crack propagation on highly heterogeneous media. In Proceedings of the 18th European Conference on Fracture (ECF18, Dresden, Germany, August 30-September 3, 2010). (pp. 1-6). Technische Universiteit Eindhoven.
Publisher
Technical University of Eindhoven
CC License
Without CC licence
