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A meshless approach to non-local damage modelling of concrete

Behzad Vasheghani Farahani (UGent) , J. Belinha, F. M. Andrade Pires, Antonio J. M. Ferreira and P. M. G. P. Moreira
(2017) ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. 79. p.62-74
Author
Organization
Abstract
A non-linear continuum damage mechanics model for concrete constructions is analysed using a radial point interpolation meshless method (RPIM). The fundamental mathematical relations and the material model are fully characterized. The 2D plane stress RPIM formulation is extended to a rate-independent standard (local) damage model considering both tension and compression static states. Additionally, in this work, the local damage formulation is modified considering a non-local constitutive damage criterion with regard to a Helmholtz free energy potential. Here, the internal variational fields, such as local and non-local damage variables, are determined by a return-mapping damage algorithm. Due to the non-linear nature of the phenomenon, a displacement controlled Newton-Raphson iterative approach is adopted to attain the non-linear damage solution. In the end, the performance of the proposed non-local damage model is evaluated using an experimental test of a notched-three-point bending beam available in the literature. The obtained solution shows that the meshless methods are capable to effectively analyse concrete structures assuming a non-linear non-local continuum damage model.
Keywords
Non-linear, Constitutive damage model, Meshless method, Concrete, RPIM, CONTINUUM, FORMULATION, PLASTICITY, FRACTURE, PLATES

Citation

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MLA
Vasheghani Farahani, Behzad, et al. “A Meshless Approach to Non-Local Damage Modelling of Concrete.” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 79, 2017, pp. 62–74, doi:10.1016/j.enganabound.2017.04.002.
APA
Vasheghani Farahani, B., Belinha, J., Pires, F. M. A., Ferreira, A. J. M., & Moreira, P. M. G. P. (2017). A meshless approach to non-local damage modelling of concrete. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 79, 62–74. https://doi.org/10.1016/j.enganabound.2017.04.002
Chicago author-date
Vasheghani Farahani, Behzad, J. Belinha, F. M. Andrade Pires, Antonio J. M. Ferreira, and P. M. G. P. Moreira. 2017. “A Meshless Approach to Non-Local Damage Modelling of Concrete.” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 79: 62–74. https://doi.org/10.1016/j.enganabound.2017.04.002.
Chicago author-date (all authors)
Vasheghani Farahani, Behzad, J. Belinha, F. M. Andrade Pires, Antonio J. M. Ferreira, and P. M. G. P. Moreira. 2017. “A Meshless Approach to Non-Local Damage Modelling of Concrete.” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 79: 62–74. doi:10.1016/j.enganabound.2017.04.002.
Vancouver
1.
Vasheghani Farahani B, Belinha J, Pires FMA, Ferreira AJM, Moreira PMGP. A meshless approach to non-local damage modelling of concrete. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. 2017;79:62–74.
IEEE
[1]
B. Vasheghani Farahani, J. Belinha, F. M. A. Pires, A. J. M. Ferreira, and P. M. G. P. Moreira, “A meshless approach to non-local damage modelling of concrete,” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 79, pp. 62–74, 2017.
@article{01H084BQC9433MBD23JHWPD88G,
  abstract     = {{A non-linear continuum damage mechanics model for concrete constructions is analysed using a radial point interpolation meshless method (RPIM). The fundamental mathematical relations and the material model are fully characterized. The 2D plane stress RPIM formulation is extended to a rate-independent standard (local) damage model considering both tension and compression static states. Additionally, in this work, the local damage formulation is modified considering a non-local constitutive damage criterion with regard to a Helmholtz free energy potential. Here, the internal variational fields, such as local and non-local damage variables, are determined by a return-mapping damage algorithm. Due to the non-linear nature of the phenomenon, a displacement controlled Newton-Raphson iterative approach is adopted to attain the non-linear damage solution. In the end, the performance of the proposed non-local damage model is evaluated using an experimental test of a notched-three-point bending beam available in the literature. The obtained solution shows that the meshless methods are capable to effectively analyse concrete structures assuming a non-linear non-local continuum damage model.}},
  author       = {{Vasheghani Farahani, Behzad and  Belinha, J. and  Pires, F. M. Andrade and  Ferreira, Antonio J. M. and  Moreira, P. M. G. P.}},
  issn         = {{0955-7997}},
  journal      = {{ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS}},
  keywords     = {{Non-linear,Constitutive damage model,Meshless method,Concrete,RPIM,CONTINUUM,FORMULATION,PLASTICITY,FRACTURE,PLATES}},
  language     = {{eng}},
  pages        = {{62--74}},
  title        = {{A meshless approach to non-local damage modelling of concrete}},
  url          = {{http://doi.org/10.1016/j.enganabound.2017.04.002}},
  volume       = {{79}},
  year         = {{2017}},
}
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