Journal
INTERNATIONAL JOURNAL OF FRACTURE
Volume 173, Issue 2, Pages 135-146Publisher
SPRINGER
DOI: 10.1007/s10704-011-9671-1
Keywords
Damage; Fracture; Crack growth; Brittle materials; FFT
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In this paper, we present a damage model and its numerical solution by means of Fast Fourier Transforms (FFT). The FFT-based formulation initially proposed for linear and non-linear composite homogenization (Moulinec and Suquet in CR Acad Sci Paris Ser II 318:1417-1423 1994; Comput Methods Appl Mech Eng 157:69-94 1998) was adapted to evaluate damage growth in brittle materials. A non-local damage model based on the maximal principal stress criterion was proposed for brittle materials. This non-local model was then connected to the Griffith criterion with the aim of predicting crack growth. By using the proposed model, we carried out several numerical simulations on different specimens in order to assess the fracture process in brittle materials. From these studies, we can conclude that the present FFT-based analysis is capable of dealing with crack initiation and crack growth in brittle materials with high accuracy and efficiency.
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