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November 21, 2022
Crack Label Matrix 8.0
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The main advantage of the results presented in this paper is to provide a new analytical approach to solve a complex damage problem for composites with small-scale heterogeneity. In order to effectively predict fracture propagation, a novel damage model is proposed. The key in the model is to introduce a volume fraction function associated with both the damage and the mortar elements. By including the mortar elements, the final crack propagation paths can be predicted, which are continuous and do not contain sharp cracks.
The only assumptions in the model are that the gradient of the volume fraction function is zero on the crack tip and the final crack direction is parallel to the direction of the crack tip. The model predicts the positions of the crack tip accurately and it is not sensitive to the exact values of the traction at the crack tip. The positions of the crack tip can be extrapolated on complex crack propagation paths.
We present a multiscale analysis of composite damage by a semi-infinite crack in an infinite orthotropic thin plate. The problem is analysed using a fractional calculus approach. We show that the solution can be written as a linear combination of two definite and non-singular contour integrals. The results are verified by means of a comparison with an analytical solution and a finite element simulation. A detailed numerical evaluation will be presented in a separate publication.
The paper presents new approaches for modelling damage and predicting fracture behavior in composite materials. The objective of this paper is to predict the fracture behavior of composite material reinforced by dispersed particles, for example, in a concrete matrix, so that we can develop effective strategies to avoid or retard the damage propagation in the matrix. First, a novel model for predicting damage propagation in composites is developed. The key idea is to introduce a volume fraction function associated with both the damage and the mortar elements. Next, based on our numerical results, we develop an effective property model for predicting damage propagation across the matrix. Then, a multiscale analysis of composite damage by a semi-infinite crack in an infinite orthotropic thin plate is performed and detailed numerical results are presented. The model is validated by an analytical solution, finite element simulation and a finite element simulation.
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