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Introduction Unlike ductile materials, (quasi)brittle materials often undergo sudden failures without any prior warning.
The numerical modeling of the onset of such catastrophic failures is further complicated by the presence of a strong size dependence in the mechanical response of such materials [1, 2, 3].
A numerical model must capture the multiscale nature of the damage phenomena in order to reproduce the experimentally observed size effect in quasibrittle materials.
Ostoja-Starzewski in: Handbook of Damage Mechanics: Nano to Macro Scale for Materials and Structures, edited by G.Z.
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Shandong Provincial Key Laboratory of Eco-Environmental Science for Yellow River Delta, Binzhou University, Binzhou, 256603, China 2.
sponsored by: 1) Supported by the Fundamental Research Funds for the Central Universities(2009QH20) 2) Funded By Open Research Fund Program of Shandong Key Laboratory for Eco-Environmental Science of Yellow River Delta, Binzhou China (2007KFJJ06).
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Acknowledgements It is grateful for Natural Science Foundation of China (51074170) for financial support of this research.
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