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See detailImplementation of a new strain split to model unilateral contact within the phase field method
Nguyen, Thanh Tung; Yvonnet, Julien; Waldmann, Danièle UL et al

in International Journal for Numerical Methods in Engineering (2020)

A new orthogonal decomposition of strain tensor into compressive/tensile parts is implemented in the phase eld model to maintain the physical crack propagation behavior. An e cient operator split scheme ... [more ▼]

A new orthogonal decomposition of strain tensor into compressive/tensile parts is implemented in the phase eld model to maintain the physical crack propagation behavior. An e cient operator split scheme with the introduction of projection tensors is proposed to facilitate the numerical implementation of the new spectral decomposition. Formulations of the present failure model accounting the unilateral contact condition are given analytically and explicitly, which implies an extremely robust computational model. In particular, compared to the existing models, the present framework is general, which can be applied to all possible elastic behavior, such as isotropic, orthotropic, and totally anisotropic elastic material. A detailed comparison of fracture response predicted by the present models with the literature approaches is then provided. It is shown that orthogonal decomposition is able to simulate various failure scenarios. Especially, this formulation shows a very remarkably prediction compared to experimental observation for the case of compression load. [less ▲]

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See detailModelling of interfacial crack propagation in strongly heterogeneous materials by using phase field method
Nguyen, Thanh-Tung; Yvonnet, Julien; Waldmann, Danièle UL et al

in Proceedings of the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry (2019, August 28)

Phase field model has been proved to be a useful tool to study the fracture behaviors in heterogeneous materials. This method is able to model complex, multiple crack fronts, and branching in both 2D/3D ... [more ▼]

Phase field model has been proved to be a useful tool to study the fracture behaviors in heterogeneous materials. This method is able to model complex, multiple crack fronts, and branching in both 2D/3D without ad-hoc numerical treatments. In this study, a new interfacial cracking model in the phase field framework is proposed. The effects of both stiff and soft interphases on the fracture response of composite materials are considered. A dimensional-reduced model based on a rigorous asymptotic analysis is adapted to derive the null thickness imperfect interface models from an original configuration containing thin interphase. The idea of mixing the bulk and interfacial energy within the phase field framework is then used to describe the material degradation both on the interface and in bulk. Moreover, in order to ensure the physical crack propagation patterns, a unilateral contact condition is also proposed for the case of spring imperfect interface. The complex cracking phenomena on interfaces such as initiation, delamination, coalescence, deflection, as well as the competition between the interface and bulk cracking are successfully predicted by the present method. Concerning the numerical aspect, the one-pass staggered algorithm is adapted, providing an extremely robust approach to study interfacial cracking phenomena in a broad class of heterogeneous materials. [less ▲]

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See detailPhase field modeling of interfacial damage in heterogeneous media with stiff and soft interphases
Nguyen, Thanh Tung UL; Yvonnet, Julien; Waldmann, Danièle UL et al

in Engineering Fracture Mechanics (2019), 218

Detailed reference viewed: 119 (9 UL)