Skip to main content
Log in

An Experimental-Computational Correlated Study for Describing the Failure Characteristics of Concrete across Two Scale Levels: Mixture and Structural Component

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The failure characteristics of concrete, which are often brittle, are complex due variability in mix design, heterogeneity of the final man-made composite product, and the complexity associated with describing the corresponding mechanical response across different scale levels. Numerous experimental methods as well as numerical models have been developed to characterize the mechanical behavior of cementitious composites, but the major of these methods have focused on describing bulk response and are not well suited to characterize localized phenomena. Recent advances in the areas of multi-scale modeling and computational mechanics have shown promise for improving current capabilities, but these approaches also require experimental validation. This manuscript explores the extension of Digital Image Correlation (DIC) to fully characterize the behavior of concrete across different structural scales. The investigation leverages results from an experimental testing program at both mixture and structural member scale levels to evaluate the performance of two representative plasticity-based numerical models commonly used to describe the failure characteristics of concrete subjected to various states of stresses. The experimental study consisted of a series of compression, split tensile, and flexural tests. For the numerical models, the finite element method (FEM) was used to simulate concrete specimens at different scale levels. A comparison of the experimental and numerical results demonstrated that the numerical models are capable in predicting the ultimate capacities and global responses of the tested specimens. The minimum discrepancy between the results was observed in the pure compression tests, with less agreement observed in the presence of tensile stresses (i.e. split tensile and flexural tests at both scale levels). This can be attributed to the limitations of the selected material models in describing the tensile behavior of concrete beyond the elastic limit as well as the current shortcomings associated with numerical analyzes and their capabilities in describing the localized behavioral features such as crack initiation and propagation. Results from this investigation highlight the potential of DIC as a non-contact measurement technology to improve the performance of existing material models for traditional civil engineering materials, but also underscores its capabilities in development of new constitutive models for the next generation of innovative high performance materials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Mindess S, Young JF, Darwin D (2003) Concrete. Pearson Education Inc., Upper Saddle River

    Google Scholar 

  2. Roddenberry M, Kampmann R, Ansley MH, Bouchard N, Ping WV (2011) Failure Behavior of Concrete Cylinders under Different End Conditions. ACI Mater J 108(1):79

    Google Scholar 

  3. ASTM International. Cement Standards and Concrete Standards. Am Soc Test Mater http://www.astm.org/Standards/cement-and-concrete-standards.html. Accessed Oct 2015

  4. RILEM. International Union of laboratories and Experts in Construction Materials, Systems and Structures. http://www.rilem.org/gene/main.php. Accessed Oct 2015

  5. CSA. Codes and Standards. Canadian Standards Association http://www.csagroup.org/global/en/services/codes-and-standards. Accessed Oct 2015

  6. ASTM C39 / C39M - 14a (2014) Standard Test Method for Compressive Strength of Cylindrical Concrete Specimens. ASTM International, West Conshohocken

    Google Scholar 

  7. ASTM C496 / C496M - 11 (2011) Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete Specimens. ASTM International, West Conshohocken

    Google Scholar 

  8. Zi G, Kim J, Bažant ZP (2014) Size Effect on Biaxial Flexural Strength of Concrete. ACI Mater J 111(3):319

    Google Scholar 

  9. Bažant ZP, Yu Q (2011) Size-effect testing of cohesive fracture parameters and nonuniqueness of work-of-fracture method. J Eng Mech 137:580

    Article  Google Scholar 

  10. Bažant ZP (1984) Size Effect in Blunt Fracture: Concrete, Rock, Metal. J Eng Mech 110(4):518–535

    Article  Google Scholar 

  11. Bazant ZP, Planas J (1997) Fracture and size effect in concrete and other quasibrittle materials. CRC press

  12. Fehling, E., Schmidt, M., Walraven, J., Leutbecher, T., and Fröhlich, S. (2014). Ultra-High Performance Concrete UHPC: Fundamentals, Design, Examples. John Wiley & Sons

  13. Graybeal BA (2006) Material property characterization of ultra-high performance concrete. Federal Highway Administration Report No. FHWA-HRT-06-103, McLean

  14. Li VC (2003) On engineered cementitious composites (ECC). J Adv Concr Technol 1(3):215–230

    Article  Google Scholar 

  15. Maalej M, Li VC (1994) Flexural/tensile-strength ratio in engineered cementitious composites. J Mater Civ Eng 6(4):513–528

    Article  Google Scholar 

  16. Hillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6(6):773–781

    Article  Google Scholar 

  17. Etse GA, Willam K (1994) Fracture Energy Formulation for Inelastic Behavior of Plain Concrete. J Eng Mech 120(9):1983–2011

    Article  MATH  Google Scholar 

  18. Bazant ZP, Cedolin L (1980) Fracture mechanics of reinforced concrete. J Eng Mech Div 106(6):1287–1306

    Google Scholar 

  19. Elfgren L (1989) Fracture mechanics of concrete structures from theory to applications: Report of the Technical Committee 90-FMA Fracture Mechanics to Concrete/Applications, RILEM (the International Union of Testing and Research Laboratories for Materials and Structures). Taylor and Francis Group

  20. Carpinteri A (1982) Application of fracture mechanics to concrete structures. J Struct Div 108(4):833–848

    Google Scholar 

  21. Anderson TL, Anderson T (2005) Fracture mechanics: fundamentals and applications. CRC press, New York

    MATH  Google Scholar 

  22. Shah SP, Swartz SE, Ouyang C (1995) Fracture mechanics of concrete: applications of fracture mechanics to concrete, rock and other quasi-brittle materials. John Wiley & Sons, New York

    Google Scholar 

  23. Chen WF (2007) Plasticity in reinforced concrete. J. Ross Publishing

  24. Meschke G, Macht J, Lackner R (1998) A damage-plasticity model for concrete accounting for fracture-induced anisotropy. Computational modelling of concrete structures: Proceedings of the EURO-C 1998 Conference on Computational Modelling of Concrete Structures, Badgastein, 31 March - 3 April 1998, vol. 1

  25. Lee J, Fenves GL (1998) Plastic-Damage Model for Cyclic Loading of Concrete Structures. J Eng Mech 124(8):892–900

    Article  Google Scholar 

  26. Lubliner J, Oliver J, Oller S, Oñate E (1989) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326

    Article  Google Scholar 

  27. Wu JY, Li J, Faria R (2006) An energy release rate-based plastic-damage model for concrete. Int J Solids Struct 43(3–4):583–612

    Article  MATH  Google Scholar 

  28. Yazdani S, Schreyer HL (1990) Combined Plasticity and Damage Mechanics Model for Plain Concrete. J Eng Mech 116(7):1435–1450

    Article  Google Scholar 

  29. Pantazopoulou IIASJ (1989) Fracture Energy-Based Plasticity Formulation of Plain Concrete. J Eng Mech 115(6):1183–1204

    Article  Google Scholar 

  30. Voyiadjis GZ, Taqieddin ZN, Kattan PI (2008) Anisotropic damage–plasticity model for concrete. Int J Plast 24(10):1946–1965

    Article  MATH  Google Scholar 

  31. Mazars J, Pijaudier-Cabot G (1989) Continuum damage theory-application to concrete. J Eng Mech 115(2):345–365

    Article  Google Scholar 

  32. Moës N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng Fract Mech 69(7):813–833

    Article  Google Scholar 

  33. Roth S-N, Léger P, Soulaïmani A (2015) A combined XFEM–damage mechanics approach for concrete crack propagation. Comput Methods Appl Mech Eng 283:923–955

    Article  MathSciNet  Google Scholar 

  34. Asferg JL, Poulsen PN, Nielsen LO (2007) A consistent partly cracked XFEM element for cohesive crack growth. Int J Numer Methods Eng 72(4):464–485

    Article  MATH  Google Scholar 

  35. Lilliu G, van Mier JGM (2003) 3D lattice type fracture model for concrete. Eng Fract Mech 70(7–8):927–941

    Article  Google Scholar 

  36. Liu JX, Deng SC, Zhang J, Liang NG (2007) Lattice type of fracture model for concrete. Theor Appl Fract Mech 48(3):269–284

    Article  Google Scholar 

  37. Cusatis G, Bažant ZP, Cedolin L (2006) Confinement-shear lattice CSL model for fracture propagation in concrete. Comput Methods Appl Mech Eng 195(52):7154–7171

    Article  MATH  Google Scholar 

  38. Li S, Liu WK (2002) Meshfree and particle methods and their applications. Appl Mech Rev 55(1):1–34

    Article  Google Scholar 

  39. William K, Warnke E (1975) Constitutive model for the triaxial behavior of concrete

  40. MacGregor JG, Wight JK, Teng S, Irawan P (1997) Reinforced concrete: Mechanics and design. Prentice Hall, Upper Saddle River

    Google Scholar 

  41. ACI Committee. Building code requirements for structural concrete (ACI 318–08) and commentary. American Concrete Institute, International Organization for Standardization

  42. Gheitasi A, Harris DK (2014) Failure characteristics and ultimate load-carrying capacity of redundant composite steel girder bridges: Case study. J Bridg Eng 20:05014012

    Article  Google Scholar 

  43. Gheitasi A, Harris DK (2014) Overload flexural distribution behavior of composite steel girder bridges. J Bridg Eng 20(5):04014076

    Article  Google Scholar 

  44. Gheitasi A, Harris DK (2015) Redundancy and Operational Safety of Composite Stringer Bridges with Deteriorated Girders. J Perform Constr Facil 30(2):04015022

    Article  Google Scholar 

  45. Gheitasi A, Harris DK (2015) Performance assessment of steel–concrete composite bridges with subsurface deck deterioration. Structure 2:8–20

    Article  Google Scholar 

  46. Sofi FA, Steelman JS (2017) Parametric Influence of Bearing Restraint on Nonlinear Flexural Behavior and Ultimate Capacity of Steel Girder Bridges. J Bridg Eng 22(7):04017033

    Article  Google Scholar 

  47. Ross BE, Hamilton HT (2011) Evaluation of strain gage lengths for testing limestone and granite aggregate concretes. Constr Build Mater 25(1):406–408

    Article  Google Scholar 

  48. Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer Science & Business Media

  49. Ghorbani R, Matta F, Sutton M (2014) Full-field deformation measurement and crack mapping on confined masonry walls using digital image correlation. Exp Mech 55(1):227–243

    Article  Google Scholar 

  50. Croom BP, Sutton MA, Zhao X, Matta F, Ghorbani R (2015) Modeling of asphalt roof shingle-sealant structures for prediction of local delamination under high wind loads. Eng Struct 96:100–110

    Article  Google Scholar 

  51. Sadek S, Iskander M, Liu J (2003) Accuracy of Digital Image Correlation for Measuring Deformations in Transparent Media. J Comput Civ Eng 17(2):88–96

    Article  Google Scholar 

  52. Chehab G, Seo Y, Kim Y (2007) Viscoelastoplastic Damage Characterization of Asphalt–Aggregate Mixtures Using Digital Image Correlation. Int J Geomechanics 7(2):111–118

    Article  Google Scholar 

  53. Kemeny J, Devgan A, Hagaman R, Wu X (1993) Analysis of Rock Fragmentation Using Digital Image Processing. J Geotech Eng 119(7):1144–1160

    Article  Google Scholar 

  54. Dutton M, Take W, Hoult N (2013) Curvature Monitoring of Beams Using Digital Image Correlation. J Bridg Eng 19(3):05013001

    Article  Google Scholar 

  55. Lin D, Wang H, Luo H (2004) Assessment of Fire-Damaged Mortar Using Digital Image Process. J Mater Civ Eng 16(4):383–386

    Article  Google Scholar 

  56. Divya P, Viswanadham B, Gourc J (2013) Evaluation of Tensile Strength-Strain Characteristics of Fiber-Reinforced Soil through Laboratory Tests. J Mater Civ Eng 26(1):14–23

    Article  Google Scholar 

  57. McGinnis M, Pessiki S (2015) Experimental Study of the Core-Drilling Method for Evaluating In Situ Stresses in Concrete Structures. J Mater Civ Eng 28:04015099

    Article  Google Scholar 

  58. Chu T, Ranson W, Sutton MA (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244

    Article  Google Scholar 

  59. Lu H, Cary P (2000) Deformation measurements by digital image correlation: implementation of a second-order displacement gradient. Exp Mech 40(4):393–400

    Article  Google Scholar 

  60. Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20(6):062001

    Article  Google Scholar 

  61. Schreier H, Orteu J-J, Sutton MA (2009) Image correlation for shape, motion and deformation measurements. Springer US, New York

    Book  Google Scholar 

  62. ANSYS v. 15.0 (2014) ANSYS Reference Manual. ANSYS, Inc., Canonsburg

    Google Scholar 

  63. ASTM C78 / C78M - 16 (2016) Standard Test Method for Flexural Strength of Concrete (Using Simple Beam with Third-Point Loading). ASTM International, West Conshohocken

    Google Scholar 

  64. Gheitasi A (2014) Performance Evaluation of Damage-Integrated Composite Steel Girder Highway Bridges. Doctor of Philosophy, University of Virginia, Charlottesville

    Book  Google Scholar 

  65. Gheitasi A, Harris DK A Performance-Based Framework for Bridge Preservation Based on Damage-Integrated System-Level Behavior. Proc., Transportation Research Board 93rd Annual Meeting

  66. Alipour M, Sherif M, Bagheri A, Gheitasi A, Harris DK, Ozbulut OE Application of Systematic FE Model Updating using Digital Image Correlation for Full-Field Non-Contact Measurement. Proc 2015 International Digital Image Correlation Society (IDICS) Workshop and Conference

  67. Dizaji MS, Alipour M, Harris DK (2017) Leveraging Vision for Structural Identification: A Digital Image Correlation Based Approach. International Digital Imaging Correlation Society, Springer, pp 121–124

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. K. Harris.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gheitasi, A., Harris, D.K. & Hansen, M. An Experimental-Computational Correlated Study for Describing the Failure Characteristics of Concrete across Two Scale Levels: Mixture and Structural Component. Exp Mech 58, 11–32 (2018). https://doi.org/10.1007/s11340-017-0319-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-017-0319-6

Keywords

Navigation