Analytical and finite element analysis of the concrete stress intensity factor with carbon fibers

Authors

  • Fábio Santos de Sousa
  • Alcebíades Negrão Macedo

DOI:

https://doi.org/10.34117/bjdv9n1-279

Keywords:

laminate, carbon fibers, finite element methods, stress intensity factor

Abstract

Concrete is a material with low tensile strength and fracture resistance. One way to improve these properties is through the insertion of synthetic fibers such as carbon fibers into the concrete. This work determined the stress intensity factor for concrete with aligned carbon fibers (laminate) using an analytical model and finite element methods – macro-mechanical analysis of the composite laminate using the ABAQUS finite element package. Symmetrical laminate models were used with carbon fibers ranging from ± 15° to ± 75°. A single-edge notch bending specimen geometry was used to determine the KI of the laminates. The mechanical properties of the laminate were obtained through analytical models of the laminate theory. Results indicate that the fiber angles influence the stress intensity factor. The behavior is practically linear and a strong correlation was observed between the angle of the fibers and the KI through Pearson’s r. The laminate with a fiber angle of ± 75° showed a higher KI value compared to the others (x14 about ± 15°). Comparisons of the analytical and numerical results showed good agreement in the determined KI.

References

ANDERSON, Ted L. Fracture mechanics: fundamentals and applications. CRC press, 2017.

BARBERO E. J. Introduction to composite materials design. 3th ed. Boca Raton: CRC Press, 2017. 534p.

BARBERO E. J., Finite element analysis of composite materials using Abaqus TM, Florida: CRC press, 2013.

BAUER E., VASCONCELOS P.H AND GRANATO J.E, Materiais de Construção Civil e Princípios de Ciência e Engenharia de Materiais. São Paulo: Ed G. C. Isaia,2007.

BLANDFORD, GEORGE E.; INGRAFFEA, ANTHONY R.; LIGGETT, JAMES A. Two‐dimensional stress intensity factor computations using the boundary element method. International Journal for Numerical Methods in Engineering, v. 17, n. 3, p. 387-404, 1981.

BLANDFORD, George E.; INGRAFFEA, Anthony R.; LIGGETT, James A. Two‐dimensional stress intensity factor computations using the boundary element method. International Journal for Numerical Methods in Engineering, v. 17, n. 3, p. 387-404, 1981.

BOUIADJRA, B. Bachir; BELHOUARI, M.; SERIER, B. Computation of the stress intensity factors for repaired cracks with bonded composite patch in mode I and mixed mode. Composite Structures, v. 56, n. 4, p. 401-406, 2002.

CARPINTERI, Andrea et al. Mode I fracture toughness of fiber reinforced concrete. Theoretical and Applied Fracture Mechanics, v. 91, p. 66-75, 2017.

CARPINTERI, Andrea et al. Mode I fracture toughness of fibre reinforced concrete. Theoretical and Applied Fracture Mechanics, v. 91, p. 66-75, 2017.

CHARI, KJ Brahma. Investigation on Mode–I Fracture Parameters Using Steel Fibers in High Strength Concrete. International Journal of Scientific Engineering and Research (IJSER), ISSN (Online), p. 2347-3878.

CHAUHAN, Darshan R.; TEWANI, Hridyesh R.; KALYANA RAMA, J. S. Application of Principles of Linear Elastic Fracture Mechanics for Concrete Structures: A Numerical Study. In: Applied Mechanics and Materials. Trans Tech Publications Ltd, 2018. p. 282-288.

DONG, Chensong. Flexural properties of symmetric carbon and glass fibre reinforced hybrid composite laminates. Composites Part C: Open Access, v. 3, p. 100047, 2020.

EL-HAJJAR, Rani; HAJ-ALI, Rami. Mode-I fracture toughness testing of thick section FRP composites using the ESE (T) specimen. Engineering fracture mechanics, v. 72, n. 4, p. 631-643, 2005.

FARON, ADRIAN; ROMBACH, GÜNTER AXEL. Simulation of crack growth in reinforced concrete beams using extended finite element method. Engineering Failure Analysis, v. 116, p. 104698, 2020.

GAWIL B.I., Finite Element Modeling of Frp Strengthened Concrete Beams and Columns at Different Temperatures, Ph.D., thesis, Wayne State University, Detroit, U.S,2016.

GEBRU, E., Effect of Fiber Orientation Angle on Stress Intensity Factor of Composite Laminated Crack Plate, Int J Appl Sci Eng Tech, v.6, p.4700-4706,2018.

GRIFFITH, Alan Arnold. VI. The phenomena of rupture and flow in solids. Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, v. 221, n. 582-593, p. 163-198, 1921.

HENSHELL, R. D.; SHAW, K. G. Crack tip finite elements are unnecessary. International journal for numerical methods in engineering, v. 9, n. 3, p. 495-507, 1975.

HENSHELL, R. D.; SHAW, K. G. Crack tip finite elements are unnecessary. International journal for numerical methods in engineering, v. 9, n. 3, p. 495-507, 1975.

HUANG, YUCHENG et al. Characterization of mortar fracture based on three-point bending test and XFEM. International Journal of Pavement Research and Technology, v. 11, n. 4, p. 339-344, 2018.

IRWIN, George Rankin. Onset of fast crack propagation in high strength steel and aluminum alloys. Naval Research Lab Washington DC, 1956.

JORBAT, Mitra Hatami; HOSSEINI, Mehdi; MAHDIKHANI, Mahdi. Effect of polypropylene fibers on the mode I, mode II, and mixed-mode fracture toughness and crack propagation in fiber-reinforced concrete. Theoretical and Applied Fracture Mechanics, v. 109, p. 102723, 2020

KARAMLOO, Mohammad; AFZALI-NANIZ, Oveys; DOOSTMOHAMADI, Alireza. Impact of using different amounts of polyolefin macro fibers on fracture behavior, size effect, and mechanical properties of self-compacting lightweight concrete. Construction and Building Materials, v. 250, p. 118856, 2020.

KHAJI, N.; YAZDANI, M. Determination of stress intensity factors of 2D fracture mechanics problems through a new semi‐analytical method. Fatigue & Fracture of Engineering Materials & Structures, v. 39, n. 4, p. 467-478, 2016.

KHITAB, Anwar et al. Fracture toughness and failure mechanism of high performance concrete incorporating carbon nanotubes. Frattura ed Integrità Strutturale, v. 11, n. 42, p. 238-248, 2017.

KHITAB, Anwar et al. Fracture toughness and failure mechanism of high performance concrete incorporating carbon nanotubes. Frattura ed Integrità Strutturale, v. 11, n. 42, p. 238-248, 2017.

KIMM, Magdalena; PICO, Davide; GRIES, Thomas. Investigation of surface modification and volume content of glass and carbon fibres from fibre reinforced polymer waste for reinforcing concrete. Journal of hazardous materials, v. 390, p. 121797, 2020.

KURNIAWAN, P., KASYANTO, H., MAULUDIN, L. M., Numerical modeling of low strength reinforced concrete column strengthened with CFRP jacketing, In Journal of Physics: Conference Series, v. 1839, n. 1, p. 012007,2021.

KURNIAWAN, P.; KASYANTO, H.; MAULUDIN, L. M. Numerical modeling of low strength reinforced concrete column strengthened with CFRP jacketing. In: Journal of Physics: Conference Series. IOP Publishing, 2021. p. 012007.

LI, JIAN-BO et al. A nonlinear crack model for concrete structure based on an extended scaled boundary finite element method. Applied Sciences, v. 8, n. 7, p. 1067, 2018.

LIU B., GUO J., ZHOU J., WEN X., DENG Z., WANG H., et al., The mechanical properties and microstructure of carbon fibers reinforced coral concrete. Construction and Building Materials, v. 249, p. 118771 ,2020.

LIU, Xi; WU, Tao; LIU, Yang. Stress-strain relationship for plain and fibre-reinforced lightweight aggregate concrete. Construction and Building Materials, v. 225, p. 256-272, 2019.

MARQUES, Ana S. et al. Study of aggregate size effect on fracture toughness of petreous macrocomposites (concrete). In: Materials Science Forum. Trans Tech Publications Ltd, 2010. p. 1342-1348.

N. PERES, Mixed-Mode Fracture Mechanics, 3th ed, In: Fracture Mechanics, 2017.

NETO F., PARDINI L.C., Compósitos estruturais: ciência e tecnologia, 1rd ed, Editora Blucher, São Paulo,2016

PEREZ, Nestor. Mixed-mode fracture mechanics. In: Fracture Mechanics. Springer, Cham, 2017. p. 289-325.

RAJAGOPAL S., GUPTA N., Mesh free modelling of fracture—a comparative study of different methods. Meccanica,2011, v.46, p.1145-1158,2011.

RAMESH, M.; NIJANTHAN, S. Mechanical property analysis of kenaf–glass fiber reinforced polymer composites using finite element analysis. Bulletin of Materials Science, v. 39, n. 1, p. 147-157, 2016.

REIS, J. M. L.; FERREIRA, A. J. M. Assessment of fracture properties of epoxy polymer concrete reinforced with short carbon and glass fibers. Construction and Building Materials, v. 18, n. 7, p. 523-528, 2004.

SAAD, Marawan et al. Improving the brittle behavior of high strength concrete using banana and palm leaf sheath fibers. Mechanics of Advanced Materials and Structures, p. 1-10, 2020.

SAFIUDDIN, Md; YAKHLAF, M.; SOUDKI, K. A. Key mechanical properties and microstructure of carbon fibre reinforced self-consolidating concrete. Construction and building materials, v. 164, p. 477-488, 2018.

SANGI, M. et al. Experimental verification and simulation of fracture behavior of CFRP reinforced self-consolidating concrete beams with initial notch. SN Applied Sciences, v. 2, n. 3, p. 1-13, 2020.

SANGI, M. et al. Experimental verification and simulation of fracture behavior of CFRP reinforced self-consolidating concrete beams with initial notch. SN Applied Sciences, v. 2, n. 3, p. 1-13, 2020.

SANGI, M., AMIRI, J. V., ABDOLLAHZADEH, G., DEHESTANI, M., Experimental verification and simulation of fracture behavior of CFRP reinforced self-consolidating concrete beams with initial notch, SN Applied Sciences, v. 2, n. 3, p. 1-13, 2020.

SANTANA, Elvis Pereira de. Análise do crescimento à fadiga, interação e coalescência de múltiplas trincas com o método dos elementos de contorno dual. 2015.

SHAH S. P., SWARTZ S.E., OUYANG C., Fracture mechanics of concrete: applications of fracture mechanics to concrete, rock and other quasi-brittle materials, New York: John Wiley and Sons, 1995.588p.

SHI ZIHAI., Computer Program for Mixed-Mode Type Crack Analysis in Concrete Using EFCM (CAIC-M12.FOR), In:B.Heinemann, Crack Analysis in Structural Concrete, v.1,n.1,p.303-315, 2009.

SOUSA, F.S., Comportamento mecânico à tração e tenacidade à fratura de compósitos com fibras vegetais in natura e tratadas. 2019.Msc, thesis, Universidade Federal do Pará, Belém, Pa,2019

YAZDANI, M.; KHAJI, N.; KHODAKARAMI, M. I. Development of a new semi-analytical method in fracture mechanics problems based on the energy release rate. Acta Mechanica, v. 227, n. 12, p. 3529-3547, 2016.

ZÁRATE, FRANCISCO; CORNEJO, ALEJANDRO; OÑATE, EUGENIO. A three-dimensional FEM–DEM technique for predicting the evolution of fracture in geomaterials and concrete. Computational particle mechanics, v. 5, n. 3, p. 411-420, 2018.

ZIĘBA, JOANNA; BUDA-OŻÓG, LIDIA; SKRZYPCZAK, IZABELA. Probabilistic method and FEM analysis in the design and analysis of cracks widths. Engineering Structures, v. 209, p. 110022, 2020.

Downloads

Published

2023-01-19

How to Cite

Sousa, F. S. de, & Macedo, A. N. (2023). Analytical and finite element analysis of the concrete stress intensity factor with carbon fibers. Brazilian Journal of Development, 9(1), 4036–4056. https://doi.org/10.34117/bjdv9n1-279

Issue

Section

Original Papers