Computational modeling of high performance steel fiber reinforced concrete using a micromorphic approach
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A finite element methodology for simulating the failure of high performance fiber reinforced concrete composites (HPFRC), with arbitrarily oriented short fibers, is presented. The composite material model is based on a micromorphic approach. Using the framework provided by this theory, the body configuration space is described through two kinematical descriptors. At the structural level, the displacement field represents the standard kinematical descriptor. Additionally, a morphological kinematical descriptor, the micromorphic field, is introduced. It describes the fiber–matrix relative displacement, or slipping mechanism of the bond, observed at the mesoscale level. In the first part of this paper, we summarize the model formulation of the micromorphic approach presented in a previous work by the authors. In the second part, and as the main contribution of the paper, we address specific issues related to the numerical aspects involved in the computational implementation of the model. The developed numerical procedure is based on a mixed finite element technique. The number of dofs per node changes according with the number of fiber bundles simulated in the composite. Then, a specific solution scheme is proposed to solve the variable number of unknowns in the discrete model. The HPFRC composite model takes into account the important effects produced by concrete fracture. A procedure for simulating quasi-brittle fracture is introduced into the model and is described in the paper. The present numerical methodology is assessed by simulating a selected set of experimental tests which proves its viability and accuracy to capture a number of mechanical phenomenon interacting at the macro- and mesoscale and leading to failure of HPFRC composites.
KeywordsHigh performance fiber reinforced concrete (HPFRC) Failure of HPFRC Short reinforcement fibers Micromorphic materials Material multifield theory Morphological descriptors
The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 320815 (ERC Advanced Grant Project “Advanced tools for computational design of engineering materials” COMP-DES-MAT). The Spanish Ministry of Science and Innovation, and the Catalan Government Research Department, are also gratefully acknowledged for their financial support to this research under Grants BIA2011-24258 and 2009 SGR 1510, respectively.
- 3.Capriz G (1989) Continua with microstructure. Springer, Berlin Google Scholar
- 4.Dias IM (2012) Strain injection techniques in numerical modeling of propagating material failure. PhD Thesis, Technical University of Catalunya, BarcelonaGoogle Scholar
- 5.Dias IF, Oliver J, Huespe AE (2011) Strain injection, mixed formulations and strong discontinuities in fracture modeling of quasi-brittle materials. In: Proceedings of the congress on numerical methods in engineering 2011, Coimbra, Portugal, 14–17 June, 2011, pp 163–202. APMTAC, LIsbonGoogle Scholar
- 10.Linero DL (2006) A model of material failure for reinforced concrete via Continuum Strong Discontinuity Approach and mixing theory. PhD Thesis, E.T.S. Enginyers de Camins, Canals i Ports, Technical University of Catalonia (UPC), Barcelona, 2006. CIMNE Monograph Number, M106Google Scholar
- 19.R. T. 162-TDF (2002) Recommendations of RILEM TC 162-TDF: test and design methods for steel fibre reinforced concrete: bending test. Mater Struct 35:579–582Google Scholar
- 21.Suwannakarn SW (2009) Post-cracking characteristics of high performance fiber reinforced cementitious composites. PhD Thesis, University of MichiganGoogle Scholar