Development of William-Warnke failure criteria based on experimental studies of scaled masonry materials

Document Type : Original Article

Authors

1 Ph.D. Candidate, Civil Engineering Department Najafabad Branch, Islamic Azad University, Najafabad, Iran.

2 Assistant Professor, Civil Engineering Department, Najafabad Branch, Islamic Azad University, Najafabad, Iran.

3 Assistant Professor, Civil Engineering Department Najafabad Branch, Islamic Azad University, Najafabad, Iran.

Abstract

Due to the great importance of traditional structures and masonry materials and their high application, the effective parameters in the load-bearing capacity of these structural forms should be examined. In order to study the behaviour of building materials in traditional buildings and structures, due to the high cost and time-consuming laboratory studies, it is necessary to use software methods with accurate failure criteria. To achieve more acceptable and realistic results in the analysis of brick masonry structures, the Willam-Warnke fracture criterion, which is specific to brittle materials, is generally used. In this paper, the aim is to obtain the Willam-Warnke fracture criterion parameters for the combination of brick and mortar materials in macro modelling. For this purpose, with the help of laboratory studies on the combined materials of brick and mortar, the mechanical properties of these materials have been obtained. Finally, in order to validate the obtained parameters, these parameters were included in the numerical modelling of a semi-circular arch of building materials and compared with laboratory results. The results show that the developed parameters of Willam-Warnke fracture criterion predict the behaviour of building materials with a maximum error of about ten percent and a suitable and acceptable agreement is observed between the results of the analytical and laboratory model.

Keywords

Main Subjects

References

[1] P, Lourenço. (1998). Experimental and Numerical Issues in the Modeling of the Mechanical Behaviour of Masonry. Int. Seminar on Structural Analysis of Historical Construction II. Espagne: Barcelona, Pages 57–91.
[2] Y, Korany. (2003). Mechanics and Modeling of URM Structures. Germany, Dresden university of Technology.
[3] T, Hughes and N, Kitching. (2000). Small Scale Testing of Masonry. Proceedings of the 2th International Brick Block Masonry Conference. Madrid, Spain, Pages 893–902.
[4] G, Milani and A, Tralli. (2012). A Simple Meso-Macro Model Based on SQP for the Non-Linear Analysis of Masonry Double Curvature Structures. Int. J. Solids Struct, 49(5), Pages  808–834.
[5] P, B, Loureçno., G, Vasconcelos., P, Medeiros and J, Gouveia. (2010). Vertically Perforated Clay Brick Masonry for Loadbearing and non-Loadbearing Masonry Walls. Constr. Build. Mater, 24(11), Pages 2317–2330.
[6] A, Tzamtzis and P, Asteris. (2003). Finite Element Analysis of Masonry Structures Part1-Review of Pervious Work. 9th North American Masonry Conference. Clemson, South Carolina, USA, Pages 101–107.
[7] M, Hejazi and F, Mehdizadeh Saradj. (2014). Persian Architectural Heritage: Architecture, Structure and Conservation. WIT Press, Southampton and Boston.
[8] A, Mohammed., T, G, Hughes and A, Abubakar. (2015). Importance of Sand Grading on the Compressive Strength and Stiffness of Lime Mortar in Small Scale Model Studies. Open J. Civ. Eng, Vol 5, Pages 372–378.
[9] S, M, Moayedian and M, Hejazi. (2021). Stress-strain relationships for scaled gypsum mortar and cement mortar brick masonry. J. Build. Eng, Vol 33, Pages 101861.
[10] Dorji, J., Zahra, T., Thambiratnam, D., & Lee, D. (2021). Strength assessment of old masonry arch bridges through moderate destructive testing methods. Construction and Building Materials, 278, 122391.
 
[11] Gönen, S., & Soyöz, S. (2021). Seismic analysis of a masonry arch bridge using multiple methodologies. Engineering Structures, 226, 111354.
 
[12] Demirel, I. O., & Aldemir, A. (2021). Simplified Approach for Seismic Performance Assessment of Dry-Joint Masonry Arch Bridges. Buildings, 11(7), 313.
 
[13] Jahangir, H., & Esfahani, M. R. (2022). Bond Behavior Investigation Between Steel Reinforced Grout Composites and Masonry Substrate. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 1-17.
[14] BSI, BS EN 1052-1. (1998). Methods of Test for Masonry - Determination of Compressive Strength. British Standards Institution.
[15] BSI, BS EN 1052-2. (1999). Methods of Test for Masonry Units - Determination of Flexural Strength, British Standards Institution, 3(1).
[16] Triaxial Willam, K, J and Warnke, E, P. (1957). Constitutive Models Behavior of Concrete. Proceedings of the International Association for Bridge and Structural Engineering, Vol 19, Pages 1-30.
[17] Chen, W, F., Han, D, J. (1988). Plasticity for structural engineers. Springer, New York.
[18] K, Peter. (2016). Theory reference for ANSYS and ANSYS workbench. Release 17, Canonsburg: Pennsylvania.
[19] Betti, M., Orlando, M. and Vignoli, A. (2011). Static behaviour of an Italian medieval castle: damage assessment by numerical modelling,’ Computers and Structures, 89(21-22), Pages 1956-1970.
[20] Pineda, P., Robador, M and Gil-Marti, M. (2011). Seismic damage propagation prediction in ancient masonry structures: an application in the non-linear range via numerical models. The Open Construction and Building Technology Journal, Vol 5, pages 71-79.
[21] Basic Analysis Guide for ANSYS 16. (2016). SAS IP Inc. New York.
Journal of Structural and Construction Engineering
Volume 9, Issue 11 - Serial Number 64
February 2023
Pages 215-231

Files

History

  • Receive Date: 20 February 2022
  • Revise Date: 16 April 2022
  • Accept Date: 07 May 2022

Share

How to cite

Statistics