Statistical Analysis of b-value Parameter under Unconfined Uni-axial Compression Testing

Document Type : Original Article

Authors

Department of Civil Engineering, National Institute of Technology, Srinagar.

Abstract

In this paper, statistical analysis of Acoustic Emission (AE) based b-value parameter has been carried out. In the initial phase, multi-linear regression was carried out on AE parameters released during uniaxial compression of twelve cylindrical samples. The study exhibited that Counts, RMS values and reciprocal of Absolute Energy are promising parameters to quantify the b-value. In the similar analysis, the AE behavior measured in terms of b-value was studied for standard cubes and cylinders. Firstly, the two-way ANOVA test was done on Counts, RMS values and reciprocal of Absolute Energy and a hypothesis was made that b-value measured in the said parameters would be same. The results support the hypothesis and prove statistically that three variables are same no matter whether they are taken from cubic specimens or from cylindrical specimens even though the cracking behavior of cubes and cylinders is different. The results are also verified by one-tailed F-test.

Keywords

Main Subjects

Copyright © 2022 Shahid Gulzar Wani. This is an open access paper distributed under the Creative Commons Attribution License. Journal of Civil Engineering and Materials Application is published by Pendar Pub; Journal p-ISSN 2676-332X; Journal e-ISSN 2588-2880.

References

[1] Shahidan S, Zuki SS, Rahim MA, Ali N, Mohamad N. Amplitude distribution of emission wave for cracking process. InMATEC Web of Conferences 2016 (Vol. 47, p. 02013). EDP Sciences. [View at Google Scholar]; [View at Publisher].  
[2] Farhidzadeh A, Salamone S, Luna B, Whittaker A. Acoustic emission monitoring of a reinforced concrete shear wall by b-value–based outlier analysis. Structural Health Monitoring. 2013 Jan;12(1):3-13. [View at Google Scholar]; [View at Publisher].
[3] Shah SG, Kishen JC. Use of acoustic emissions in flexural fatigue crack growth studies on concrete. Engineering Fracture Mechanics. 2012 Jun 1;87:36-47. [View at Google Scholar]; [View at Publisher].
[4] Carpinteri A, Lacidogna G, Puzzi S. From criticality to final collapse: Evolution of the “b-value” from 1.5 to 1.0. Chaos, Solitons & Fractals. 2009 Jul 30;41(2):843-53. [View at Google Scholar]; [View at Publisher].
[5] Sagar RV. Importance of acoustic emission based b-value in the study of fracture process in reinforced concrete structures. InProceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-9, Berkeley, CA, USA 2016 May 28 (pp. 3-17). [View at Google Scholar]; [View at Publisher].
[6] Zhang Q, Zhang XP. A numerical study on cracking processes in limestone by the b-value analysis of acoustic emissions. Computers and Geotechnics. 2017 Dec 1;92:1-0. [View at Google Scholar]; [View at Publisher].
[7] Zhang Y, Ma J, Sun D, Zhang L, Chen Y. AE characteristics of rockburst tendency for granite influenced by water under uniaxial loading. Frontiers in Earth Science. 2020 Mar 11;8:55. [View at Google Scholar]; [View at Publisher].
[8] Zhou J. A study of acoustic emission technique for concrete damage detection. 2011. [View at Google Scholar]; [View at Publisher].
[9] Mukhopadhyay CK, Jayakumar T, Raj B, Venugopal S. Statistical analysis of acoustic emission signals generated during turning of a metal matrix composite. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2012;34:145-54. [View at Google Scholar]; [View at Publisher].
[10] Sagar RV, Deepak S, Desai PR. Statistical analysis of acoustic emissions generated during unconfined uniaxial compression of cementitious materials. Construction and Building Materials. 2019 Nov 20;225:692-708. [View at Google Scholar]; [View at Publisher].
[11] Colombo IS, Main IG, Forde MC. Assessing damage of reinforced concrete beam using “b-value” analysis of acoustic emission signals. Journal of materials in civil engineering. 2003 Jun;15(3):280-6. [View at Google Scholar]; [View at Publisher].
[12] Keijo Ruohuen, Statistics I, 2011. [View at Google Scholar]; [View at Publisher].
[13] Gupta SC, Kapoor VK. Fundamentals of Mathematical Statistics (A Modern Approach), S. Chand & Sons, New Delhi. 2000:10-. [View at Google Scholar]; [View at Publisher].
[14] Larson MG. Analysis of variance. Circulation. 2008 Jan 1;117(1):115-21. [View at Google Scholar]; [View at Publisher].
[15] Uyanık GK, Güler N. A study on multiple linear regression analysis. Procedia-Social and Behavioral Sciences. 2013 Dec 10;106:234-40. [View at Google Scholar]; [View at Publisher].
[16] Standard I. Methods of phsical tests for hydraulic cement. Bureau of Indian Standards (BIS), New Delhi, India, IS. 1988:4031-1988. [View at Google Scholar]; [View at Publisher].
[17] Specification for coarse and fine aggregates from natural sources for concrete, Bureau of Indian Standards, New Delhi. IS: 383:1970, [View at Publisher].
[18] Van Mier JG. Failure of concrete under uniaxial compression: An overview. Fracture mechanics of concrete structures. 1998;2:1169-82. [View at Google Scholar]; [View at Publisher].
[19] Lochhead JV. On the robustness of certain tests for homogeneity of variance, 1973. [View at Google Scholar]; [View at Publisher].
Journal of Civil Engineering and Materials Application
Volume 6, Issue 3
September 2022
Pages 131-148

Files

History

  • Receive Date: 01 July 2022
  • Revise Date: 13 August 2022
  • Accept Date: 09 September 2022
  • First Publish Date: 09 September 2022

Share

How to cite

Statistics