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CivilComp Proceedings
ISSN 17593433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 5
Stochastic Simulation of Damage Evolution Processes in a Reinforced Concrete Shortpier Shear Wall Specimen J. Li and Y. Cao
Department of Building Engineering, Tongji University, Shanghai, China J. Li, Y. Cao, "Stochastic Simulation of Damage Evolution Processes in a Reinforced Concrete Shortpier Shear Wall Specimen", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", CivilComp Press, Stirlingshire, UK, Paper 5, 2006. doi:10.4203/ccp.83.5
Keywords: density evolution theory, stochastic simulation, damage evolution process, shortpier shear wall, mean, standard deviation, coefficients of variation, probability density function, contours of equal probability.
Summary
Based on a new density evolution theory this paper has carried out a
stochastic simulation of the damage evolution processes in a reinforced concrete
shortpier shear wall specimen with twin coupling beams.
Due to the deficiency of the classical Monte Carlo method and many stochastic finite element (SFE) methods [1,2,3] and even the poor accuracy of obtaining qualitative information in stochastic systems, a much more elaborate but accurate approach covering the probability distributions of structural responses is employed in the present study [4,5,6]. A considerable simplified numerical procedure is also adopted in this paper to implement a successful stochastic simulation of a shortpier shear wall specimen, which is mainly composed of a deterministic nonlinear analysis procedure, choice of sampling points with a numbertheoretical method and the stochastic analysis based on probability density evolution. By using a novel elastoplastic damage constitutive model for concrete, the loaddisplacement curves between experimental result and analytical prediction are firstly compared to validate the deterministic nonlinear analysis of shortpier shear wall specimen with twin coupling beams. By means of the numbertheoretical method, 217 combinations of Young's modulus and the compressive strength are selected as the final sampling points. A series of structural loads, tensile damage and shear damage curves with regard to the freeend displacement are first extracted from the shortpier shear wall model using 217 combinations of the Young's modulus and the compressive strength and then converted into the corresponding equidistant stochastic processes. By using density evolution theory, the characteristics of means, standard deviations and coefficients of variation of the structural load, tensile and shear damage at the root of the compression side are calculated respectively; moreover, the probability density functions of abovementioned structural response at typical levels of displacement together with their corresponding contours of equal probability at the ultimate state are also obtained, which clearly illustrated the fact that the diversity and complexity of the stochastic damage evolutions are covered by the deterministic representation of the macro structural response. Although the stochasticity of the damage evolutions is remarkably greater than that of macro mechanical response, abundant stochastic fluctuations might lead to stable and uniform structural behaviours in the end. References
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