Towards crack paths simulations in media with a random fracture energy. (February 2020)

• Record Type: Journal Article
• Authors: Jeulin, Dominique
• Is Part Of: International journal of solids and structures. Volume 184(2020)
• Page Start: 279
• Page End: 286
• Publication Date: 2020-02
• Subjects: Fracture energy -- anisotropy -- crack path -- crack initiation -- phase field -- Fourier transform; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2019.06.017
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Simple probabilistic models of fracture of 3D polycrystals involving transgranular and intergranular cracks are proposed, based on undamaged paths and appropriate percolation thresholds. In a second part, we propose theoretical extensions of phase field models for crack initiation and propagation to the case of locally heterogeneous and anisotropic fracture energy, and their implementation to get full field solutions by means of iterations of Fourier transforms to replace the standard finite element approach.