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Thermal load produced part-through cracks in cement mortar layer on foamed concrete system floors

Published: 19 September 2001 Publication History
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  • Abstract

    This paper analyzes the cracks with average spacing in the top cement mortar layer of a foamed concrete floor system due to thermal loading. The cracks are assumed to propagate transversely in one parallel direction with a uniform spacing across the cement mortar layer. The analysis includes the characteristic of the formed cracks reaching only a part of the thickness of the cement mortar layer. The cement mortar layer supported by foamed concrete, rubber, and reinforced concrete slab layers can be considered as a beam with a variable crack depth profile. The material properties of foamed concrete floor system as an elastic foundation will be discussed. The cracks are modeled using the Rice-Levy nonlinear softening line spacing model. The cement mortar layer with cracks is analyzed using a compliance function for bending moments and axial forces in the crack plane. The parallel crack is divided into vertical strips. The cement mortar material behavior of elastic strength, plastic yield, fracture criterions are included in the analysis. The maximum thermal load is reached when the largest vertical crack growth reaches its limit where the growth becomes insignificant. The numerical calculations will be discussed in detail.

    References

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    {1} A.P. Hong, Y.N. Li, and Z.P. Bazant, "Theory of Crack Spacing in Concrete Pavement", J. of Eng. Mech., ASCE, Vol.123, No. 3, pp.267-275, 1997.
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    {2} Z.P. Bazant and J.J.H. Kim, "Size Effect in Penetration of Sea Ice", J. of Eng. Mech., ASCE, Vol. 124 (12), pp.1310-1324, 1998.
    [3]
    {3} Z.P. Bazant, J.J.H. Kim and Y.N. Li, "Part-through bending cracks in sea ice plates: Mathematical modeling", ICE MECHANICS-1995, J.P. Dempsey & Y. Rajapakse (eds.), ASME AMD, Vol. 207, pp.97-105, 1995.
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    {4} Z.P. Bazant and H. Ohtsubo, "Stability conditions for propagations of a system of cracks in a brittle solid", Mech. Res. Communications, 4(5), pp.353-366, 1977.
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    {5} K.J. Byun, H.W. Song, Y.C. Song and S.S. Park, "Development of Structural Lightweight Foamed Concrete Using Polymer Foam Agent", ICPIC-98, 1998.
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    {6} J.J.H. Kim, "Failure mechanism and Size Effect of Quasi-Brittle Materials: Ice, Steel Reinforced Concrete, and Fiber Composite", Chapter 3, 1998.
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    {7} H. Okmura, K. Watanabe and T. Takano, "Applications of the compliance concept in fracture mechanics", Proc., 6th Nat. Symp. On Fracture Mech., Progress in Flaw Growth and Fracture Toughness Testing, Spec. Tech. Publ. No. 536, Am. Soc. Of Mech. Engrs. (ASME). New York, N.Y., pp.423-439, 1972.
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    {8} J.R. Rice and N. Levy, "The part-through surface crack in an elastic plate", J. Appl. Mech., 39, pp.185-194, 1972.
    [9]
    {9} H. Tada, P.C. Paris and G.R. Irwin, "Stress analysis of cracks handbook", Del Research Corp., Hellertown, Pa., 1985.

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    Published In

    cover image Guide Proceedings
    ICAAISE '01: Proceedings of the eighth international conference on The application of artificial intelligence to civil and structural engineering computing
    September 2001
    308 pages
    ISBN:0948749768

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    Civil-Comp Press

    Publication History

    Published: 19 September 2001

    Author Tags

    1. Rice-Levy nonlinear softening line spring model
    2. compliance function
    3. elastic strength
    4. foamed concrete floor system
    5. fracture criterions
    6. plastic yield

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