Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T06:59:58.420Z Has data issue: false hasContentIssue false
  • English
  • Français

A Model of Damage and Creep Interaction in a Quasi-Brittle Composite Material Under Axial Loading

Published online by Cambridge University Press:  05 May 2011

M. M. Reda Taha  and
N. G. Shrive
M. M. Reda Taha*
Affiliation:
Department of Civil Engineering, University of New Mexico, Albuquerque, UM87131, U.S.A.
N. G. Shrive*
Affiliation:
Department of Civil Engineering, University of Calgary, Calgary, Canada
*
*Assistant Professor
**Killam Memorial Research Chair
Get access

Abstract

Creep is the time-dependent, viscoelastic strain observed in materials under constant stress. Creep can increase structural strains/deformations to non-serviceable levels or alter the stress distribution among structural components. While stress redistribution can be helpful in composite materials by relieving the stress on one component, it might have a detrimental effect on another, especially if it leads to overstressing.

A step-by-step in time approach for modeling creep in quasi-brittle materials such as concrete and masonry is utilized, and a new continuum damage model based on Weibull's failure rate distribution is introduced. A multiplicative approach to integrate the creep and damage effects within the step-by-step in time analysis is invoked. The significance of the proposed approach is exemplified through analysis of a clay masonry column filled with grout and subjected to concentric axial load. It is shown that the proposed approach can provide insights on the stress evolution in both components of the composite material that might not be inferred using classical methods of analysis.

Keywords

CreepTime-dependent effectsComposite action and damage
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 4 , December 2006 , pp. 339 - 347
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Neville, A. M., Dilger, W. H. and Brooks, J. J., Creep of Plain and Structural Concrete, 1st Ed., Construction Press, UK (1983).Google Scholar
2.Binda, L., Gatti, G., Mangano, G., Poggi, C. and Sacchi Landriani, G., “The Collapse of the Civic Tower of Pavia: A Survey of the Materials and Structure,” Masonry International, 6, pp. 11–20 (1992).Google Scholar
3.Lenczner, D., “Creep in Model Brickwork,” Proceedings of Designing Engineering and Construction with Masonry Products, Johnston, F. B., Ed. Houston, U.S.A. pp. 58–67 (1969).Google Scholar
4.Ghali, A. and Favre, R., Concrete Structures: Stresses and Deformations, 2nd Ed., E&FN SPON, London, UK (1994).Google Scholar
5.Hilton, H., “Creep Collapse of Viscoelastic Columns with Initial Curvature,” Journal of the Aeronautical Sciences, 19, pp. 844–846 (1952).CrossRefGoogle Scholar
6.Shenoi, R. A., Allen, H. G., and Clark, S. D.“Cyclic Creep and Creep-Fatigue Interaction in Sandwich Beams,” Journal of Strain Analysis, 32, pp. 1–18 (1997).CrossRefGoogle Scholar
7.Oh, Y. J., Nam, S. W. and Hong, J. H., “A Model for Creep-Fatigue Interaction in Terms of Crack-Tip Stress Relaxation,” Metallurgical and Materials Transactions A,31, pp. 1761–1775(2000).CrossRefGoogle Scholar
8.Wang, E. Z., and Shrive, N. G., “Brittle Fracture in Compression: Mechanisms, Models and Criteria,” Engineering Fracture Mechanics, 52, pp. 1107–1126 (1995).CrossRefGoogle Scholar
9.Shah, S. P., Swartz, S. E. and Ouyang, C., Fracture Mechanics of Concrete: Applications of Fracture Mechanics to Concrete, Rock and Other Quasi-Brittle Materials, John Wiley & Sons Inc., NY, U.S.A. (1995).Google Scholar
10.Cox, B. N. and Marshall, D. B., “Concepts for Bridged Cracks in Fracture and Fatigue,” Acta Metallurgica et Materialia, 42, pp. 341–363 (1994).CrossRefGoogle Scholar
11.Van Zijl, G. P. A. G., de Brost, R. and Rots, J. G., “The Role of Crack Rate Dependence in the Long-Term Behaviour of Cementitious Materials,” International Journal of Solids and Structures, 38, pp. 5063–5079 (2001).CrossRefGoogle Scholar
12.Valluzi, M. R., Binda, L. and Modena, C., “Mechanical Behaviour of Historic Masonry Structures Strengthened by Bed Joints Structural Repointing,” Journal of Construction and Building Materials, 19, pp. 63–73 (2005).CrossRefGoogle Scholar
13.Bažant, Z. P., “Asymptotic Temporal and Spatial Scaling of Coupled Creep, Aging Diffusion and Fracture Process.” Creep, Shrinkage and Durability Mechanics of Concrete and Other Quasi-Brittle Materials., Ulm, et al., Ed., pp. 121–145 (2001).Google Scholar
14.England, G. L., “Steady-State Stresses in Concrete Structures Subjected to Sustained Loads and Temperatures,” Parts I and II. Nuclear Engineering and Design, 3, pp. 54–65 & pp. 246–255.CrossRefGoogle Scholar
15.Young, F. J., Mindess, S., Gray, R. J. and Bentur, A., The Science and Technology of Civil Engineering Materials, Prentice Hall, NJ, U.S.A. (1998).Google Scholar
16.Van Zijl, G. P. A. G., A Numerical Formulation for Masonry Creep, Shrinkage and Cracking, Series 11, Engineering Mechanisms, Delft Univ. Press, The Netherlands (1999).Google Scholar
17.Harvey, R. J. and Hughes, T. G., “On the Representation of Masonry Creep by Rheological Analogy,” Proceedings of the ASCE Structural Congress - Restructuring: America and Beyond, pp. 385–396 (1995).Google Scholar
18.Lemaitre, J., A Course on Damage Mechanics, 2nd Ed., Springer, Germany (1996).CrossRefGoogle Scholar
19.Sukontasukkul, P., Nimityongskul, P. and Mindess, S., “Effect of Loading Rate on Damage of Concrete,” Cement and Concrete Research, 34, pp. 2127–2134 (2004).CrossRefGoogle Scholar
20.Massart, T. J., Peerlings, R. H. J., Geers, M. G. D. and Gottcheiner, S., “Mesoscopic Modeling of Failure in Brick Masonry Accounting for Three-Dimensional Effects,” Engineering Fracture Mechanics, 72, pp. 1238–1253 (2005).CrossRefGoogle Scholar
21.van den Boogaard, A. H., de Borst, R. and van den Bogert, P. A. J., “An Adaptive Time-Stepping Algorithm for Quasistatic Processes,” Communication in Numerical Methods in Engineering, 10, pp. 837–844 (1994).CrossRefGoogle Scholar
22.Løland, K. E., “Continuous Damage Model for Load-Response Estimation of Concrete,” Cement and Concrete Research, 10, pp. 395–402 (1980).CrossRefGoogle Scholar
23.Mirza, S., “A Framework for Durability Design of Infrastructure,” Proc. First Canadian Conf. on Effective Design of Structures, Hamilton, Canada, pp. 67–103 (2005).Google Scholar
24.Ulm, F. J. and Coussy, O., “Strength Growth as Chemoplastic Hardening in Early Age Concrete,” Journal of Engineering Mechanics, 122, pp. 1123–1132(1996).CrossRefGoogle Scholar
25.Gérard, B., Pijaudier-Cabot, G. and La Borderie, C., “Coupled Diffusion-Damage Modeling and the Implications on Failure due to Strain Localisation,” International Journal of Solid Structures, 35, pp. 4105–4120 (1998).CrossRefGoogle Scholar
26.Saetta, A., Scotta, R. and Vitaliani, R., “Coupled Environmental- Mechanical Damage Model for RC Structures,” J. ofEng. Mechanics, 125, pp. 930–940 (1999).Google Scholar
27.Bellego, C. L., Pijaudier-Cabot, G., Gerard, B., Dube, J-F. and Molez, L., “Coupled Mechanical and Chemical Damage in Calcium Leached Cementitous Structures,” Journal of Engineering Mechanics, 129, pp. 333–341 (2003).CrossRefGoogle Scholar
28.Anzani, A., Garavagila, E. and Binda, L., “A Probabilistic Approach for Interpretation of Long Term Damage of Historic Masonry,” Proc. of the 10th Canadian Masonry Symposium, Banff, Canada,(2005).Google Scholar
29.van Zijl, G. P. A. G., de Brost, R. and Rots, J. G., “A Numerical Model for the Time-Dependent Cracking of Cementitious Materials,” International Journal for Numerical Methods in Engineering, 53, pp. 637–654 (2001).CrossRefGoogle Scholar
30.Bažant, Z. P., “Prediction of Concrete Creep Effects Using Age-Adjusted Effective Modulus Method,” Journal Proc. of Amer. Conc. Institute, 69, pp. 212–217 (1972).Google Scholar
31.Reda Taha, M. M., Noureldin, A., El-Sheimy, N. and Shrive, N. G., “Feedforward Neural Networks for Modelling Time-Dependent Creep Deformations in Masonry Structures,” Proc. of the Ins. of Civil Engineers, Structures in Buildings, 157, Issue SB4, pp. 279–292 (2004).CrossRefGoogle Scholar
32.Gardner, J. and Lockman, M. J., “Design Provisions for Drying Shrinkage and Creep of Normal Strength Con- crete,” ACI Materials Journal, 98, pp. 159–167(2001).Google Scholar
33.Shrive, N. G. and England, G. L., “Elastic, Creep and Shrinkage Behaviour of Masonry,” Int. Journal of Masonry Construction, 1, pp. 103–109 (1983).Google Scholar
34.Hibbler, R. C., Mechanics of Materials, 6th Ed., Pearson, Prentice-Hall, Upper Saddle River, NJ, U.S.A., (2005).Google Scholar
35.Kachanov, L. M., Introduction to Continuum Damage Mechanics, Kluwer Academic Publishing, Dordecht (1986).CrossRefGoogle Scholar
36.Anzani, A., Binda, L., Ramalho, M. A. and Taliercio, A., “Historic Multi-Leaf Masonry Walls: Experimental and Numerical Research,” Masonry International, 18, pp. 101–114(2005).Google Scholar