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Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution

Abstract : We use a simple discrete system in order to model deformation and fracture within the same theoretical and numerical framework. The model displays a rich behavior, accounting for different fracture phenomena, and in particular for crack formation and growth. A comparison with standard Finite Element simulations and with the basic Griffith theory of fracture is provided. Moreover, an ‘almost steady’ state, i.e. a long apparent equilibrium followed by an abrupt crack growth, is obtained by suitably parameterizing the system. The model can be easily generalized to higher order interactions corresponding, in the homogenized limit, to higher gradient continuum theories.
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Submitted on : Friday, April 21, 2017 - 11:06:13 AM
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Alessandro Della Corte, Antonio Battista, Francesco Dell'Isola, Ivan Giorgio. Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution. Mathematical Modelling in Solid Mechanics, 2017, Volume 69 of the series Advanced Structured Materials. ⟨hal-01511528⟩

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