A coupled constitutive model for fracture in plain concrete based on continuum theory with non-local softening and eXtended Finite Element Method
Abstract
The paper presents a constitutive model for concrete which combines a continuous and discontinuous fracture description. In a continuum regime, two different constitutive laws were used. First, a plasticity model with a Rankine failure criterion and an associated fl ow rule was used. Second, a constitutive law based on isotropic damage mechanics was formulated. In order to capture the width of a localized zone and to obtain mesh-independent results, both models were equipped with a characteristic length of micro-structure by applying a non-local theory of an integral format. In order to describe a macro-crack as a displacement jump along/across a localized zone, the eXtended Finite Element Method (XFEM) was used. A transition algorithm between a non-local continuum model and XFEM was formulated. The implementation details of a coupled approach were given. The performance of two coupled models were numerically analysed based on several 2D benchmarks with a dominating mode-I (e.g. uniaxial tension and bending) and under mixed-mode conditions. The numerical results were compared with our experimental ones. The advantages of a continuous – discontinuous coupling in describing crack patterns were outlined.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
FINITE ELEMENTS IN ANALYSIS AND DESIGN
no. 114,
pages 1 - 21,
ISSN: 0168-874X - Language:
- English
- Publication year:
- 2016
- Bibliographic description:
- Bobiński J., Tejchman-Konarzewski A.: A coupled constitutive model for fracture in plain concrete based on continuum theory with non-local softening and eXtended Finite Element Method// FINITE ELEMENTS IN ANALYSIS AND DESIGN. -Vol. 114, (2016), s.1-21
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.finel.2016.02.001
- Verified by:
- Gdańsk University of Technology
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