This paper simulates fracture in notched mortar beams under three-point bending using extended finite element method (XFEM) and peridynamics. A three-phase microstructure (i.e., cement paste, aggregates, and paste-aggregate interface) is used for constitutive modeling of the mortar to obtain the elastic properties for simulation. In the XFEM approach, the simulated homogenized elastic modulus is used along with the total fracture energy of the cement mortar in a damage model to predict the fracture response of the mortar including crack propagation and its fracture parameters (Mode I stress intensity factor, KIC and critical crack tip opening displacement, CTODC). The damage model incorporates a maximum principal stress-based damage initiation criteria and a traction-separation law for damage evolution. In the peridynamics approach, a bond-based model involving a prototype microelastic brittle (PMB) material model is used. The elastic properties and fracture energy release rates are used as inputs in the PMB model, along with the choice of peridynamic horizon size. Comparison with experimental fracture properties (KIC, CTODC) as well as crack propagation paths from digital image correlation show that both the approaches yield satisfactory results, particularly for KIC and crack extension. Furthermore, both these methods can be adopted for fracture simulation of cement-based materials.
Das, Sumanta, et al. "Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics." Journal of Engineering Mechanics, vol. 145, no. 7, Jul. 2019. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001628
Das, Sumanta, Hoffarth, Canio, Ren, Bo, et al., "Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics," Journal of Engineering Mechanics 145, no. 7 (2019), https://doi.org/10.1061/(ASCE)EM.1943-7889.0001628
@article{osti_1572459,
author = {Das, Sumanta and Hoffarth, Canio and Ren, Bo and Spencer, Benjamin and Sant, Gaurav and Rajan, Subramaniam D. and Neithalath, Narayanan},
title = {Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics},
annote = {This paper simulates fracture in notched mortar beams under three-point bending using extended finite element method (XFEM) and peridynamics. A three-phase microstructure (i.e., cement paste, aggregates, and paste-aggregate interface) is used for constitutive modeling of the mortar to obtain the elastic properties for simulation. In the XFEM approach, the simulated homogenized elastic modulus is used along with the total fracture energy of the cement mortar in a damage model to predict the fracture response of the mortar including crack propagation and its fracture parameters (Mode I stress intensity factor, KIC and critical crack tip opening displacement, CTODC). The damage model incorporates a maximum principal stress-based damage initiation criteria and a traction-separation law for damage evolution. In the peridynamics approach, a bond-based model involving a prototype microelastic brittle (PMB) material model is used. The elastic properties and fracture energy release rates are used as inputs in the PMB model, along with the choice of peridynamic horizon size. Comparison with experimental fracture properties (KIC, CTODC) as well as crack propagation paths from digital image correlation show that both the approaches yield satisfactory results, particularly for KIC and crack extension. Furthermore, both these methods can be adopted for fracture simulation of cement-based materials.},
doi = {10.1061/(ASCE)EM.1943-7889.0001628},
url = {https://www.osti.gov/biblio/1572459},
journal = {Journal of Engineering Mechanics},
issn = {ISSN 0733-9399},
number = {7},
volume = {145},
place = {United States},
publisher = {American Society of Civil Engineers (ASCE)},
year = {2019},
month = {07}}
