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Title
Japanese: 
English:Failure Modeling of Quasi-Brittle Materials by Low-Order Finite Elements and Stress-Based Gradient Damage Model 
Author
Japanese: BUI TINH QUOC, Nguyen Tuan Hoang Anh, 廣瀬 壮一.  
English: Tinh Quoc Bui, Tuan H.A. Nguyen, Sohichi Hirose.  
Language English 
Journal/Book name
Japanese: 
English:Poromechanics VI 
Volume, Number, Page         pp. 1789-1796
Published date June 2017 
Publisher
Japanese: 
English:American Society of Civil Engineers 
Conference name
Japanese: 
English:Sixth Biot Conference on Poromechanics, Paris, France 
Conference site
Japanese:Paris 
English:Paris 
Official URL https://ascelibrary.org/doi/abs/10.1061/9780784480779.221
 
Abstract Failure modeling of quasi-brittle materials in terms of continuum damage mechanics model and finite element approach is presented in this paper. A stress-based implicit gradient-enhanced damage model using low-order finite elements is developed in which the characteristic length is a stress level dependent parameter. A simple formula for the calculation of the characteristic length of failure localization in the spatial discretization of materials is also taken, which is to additionally suppress the sensitivity of geometrical meshes. The displacements and nonlocal equivalent strain fields are approximated in the framework of low-order finite elements, i.e., the same interpolation functions are used for both primary variables. The spurious damaged zones and stress oscillation induced by the standard strain-based gradient damage can be overcome by using the proposed damage approach. Quasi-brittle materials such as concrete and limestone are considered and some numerical examples with different configuration are examined. The obtained numerical results are analyzed and are validated against reference solutions including experimental data and other existing numerical approaches

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