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On determining the undrained bearing capacity coefficients of variation for foundations embedded on spatially variable soil

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Języki publikacji
EN
Abstrakty
EN
This paper presents an efficient method and its usage for the three-dimensional random bearing capacity evaluation for square and rectangular footings. One of the objectives of the study is to deliver graphs that can be used to easily estimate the approximated values of coefficients of variations of undrained bearing capacity. The numerical calculations were based on the proposed method that connects three-dimensional failure mechanism, simulated annealing optimization scheme and spatial averaging. The random field is used for describing the spatial variability of undrained shear strength. The proposed approach is in accordance with a constant covariance matrix concept, that results in a highly efficient tool for estimating the probabilistic characteristics of bearing capacity. As a result, numerous three-dimensional simulations were performed to create the graphs. The considered covariance matrix is a result of Vanmarcke’s spatial averaging discretization of a random field in the dissipation regions to the single random variables. The matrix describes mutual correlation between each dissipation region (or between those random variables). However, in the presented approach, the matrix was obtained for the expected value of undrained shear strength and keep constant during Monte Carlo simulations. The graphs were established in dimensionless coordinates that vary in the observable in practice ranges of parameters (i.e., values of fluctuation scales, foundation sizes and shapes). Examples of usage were given in the study to illustrate the application possibility of the graphs. Moreover, the comparison with the approach that uses individually determined covariance matrix is shown.
Wydawca
Rocznik
Strony
125--136
Opis fizyczny
Bibliogr. 29 poz., tab., rys.
Twórcy
  • Wroclaw University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
  • [1] Ali A, Lyamin AV, Huang J, Sloan SW, Cassidy MJ. Effect of Spatial Correlation Length on the Bearing Capacity of an Eccentrically Loaded Strip Footing. 6th APSSRA 2016, 311–316.
  • [2] Bagińska I, Kawa M, Janecki W. Estimation of spatial variability properties of mine waste dump using CPTu results – case study. Proceedings of the 4th International Symposium on Cone Penetration Testing (CPT’18), Delft, The Netherlands, 21-22 June 2018; eds. Michael A. Hicks, Federico Pisanò, Joek Peuchen. Leiden : CRC Press/Balkema, cop. 2018. s. 109–115.
  • [3] Chen F, Wang L, Zhang W.Reliability assessment on stability of tunnelling perpendicularly beneath an existing tunnel considering spatial variabilities of rock mass properties. Tunnelling and Underground Space Technology, 88 (2019), 276- 289. https://doi.org/10.1016/j.tust.2019.03.013
  • [4] Ching J, Wu TJ, Stuedlein AW, Bong T. Estimating horizontal scale of fluctuation with limited CPT soundings. Geoscience Frontiers, 2018; Volume 9, Issue 6, 1597–1608. https://doi. org/10.1016/j.gsf.2017.11.008
  • [5] Ching J, Phoon KK, Sung SP. Worst case scale of fluctuation in basal heave analysis involving spatial variable clays, Structural Safety, 68 (2017), pp. 28–42
  • [6] Ching J, Phoon KK, Sung SP. Worst case scale of fluctuation in basal heave analysis involving spatially variable clays. Structural Safety, Vol. 68, 28–42. https://doi.org/10.1016/j. strusafe.2017.05.008
  • [7] Chwała M. (2019a). Undrained bearing capacity of spatially random soil for rectangular footings. Soils and Foundations 59 (2019) 1508–1521. https://doi.org/10.1016/j.sandf.2019.07.005
  • [8] Chwała M. (2019b). Bearing Capacity for Spatially Random Soil Considering Cone Penetration Test Locations. In: Ching, J., Li, D. Q. & Zhang, J., (Eds), Proceedings, 7th International Symposium on Geotechnical Safety and Risk, Research Publishing, 2019, 11–13 December, 2019, Taipei, Taiwan, 899pp. ISBN : 978-981- 11-2725-0, DOI : 10.3850/9789811127250-toc.
  • [9] Fenton GA, Griffiths DV. Risk assessment in geotechnical engineering. Wiley; 2008.
  • [10] Goh Anthony TC , Zhang WG, Wong KS. Deterministic and reliability analysis of basal heave stability for excavation in spatial variable soils. Computers and Geotechnics, 108 (2019), 152–160. https://doi.org/10.1016/j.compgeo.2018.12.015
  • [11] Gourvenec S, Randolph M, Kingsnorth O. Undrained Bearing Capacity of Square and Rectangular Footings. International Journal of Geomechanics, 2006; Vol. 6, 3, 147–157.
  • [12] Horn RA, Johnson CR. Matrix Analysis. Cambridge University Press, 1985.
  • [13] Huang J, Lyamin AV, Griffiths DV, Sloan SW, Krabbenhoft K, Fenton GA. Undrained bearing capacity of spatially random clays by finite elements and limit analysis. Proceedings of the 18th ICSMGE, Paris (2013), pp. 731–734
  • [14] Johari A, Hosseini SM, Keshavarz. Reliability analysis of seismic bearing capacity of strip footing by stochastic slip lines method. Computers and Geotechnics, 91 (2017), 203–217. https://doi.org/10.1016/j.compgeo.2017.07.019
  • [15] Kawa M, Puła W. 3D bearing capacity probabilistic analyses of footings on spatially variable c–φ soil. Acta Geotechnica, June 2019. DOI: 10.1007/s11440-019-00853-3
  • [16] Kirkpatrick S, Gelatt CD, Vecchi MP. Optimization by Simulated Annealing. Science, 1983; 220, 671–680.
  • [17]Kirkpatrick S. Optimization by Simulated Annealing: Quantitative Studies. Journal of Statistical Physics, 1984; Vol. 34, Nos. 5/6.
  • [18] Lu Q, Xiao Z, Zheng J, Shang Y.Probabilistic assessment of tunnel convergence considering spatial variability in rock mass properties using interpolated autocorrelation and response surface method. Geoscience Frontiers, 9(6), 2018, 1619–1629. https://doi.org/10.1016/j.gsf.2017.08.007
  • [19] Nuttall JD. Estimation of Horizontal and Vertical Scales of Fluctuation from CPT Data Using Neural Networks and Random Fields. In: Ching, J., Li, D. Q. & Zhang, J., (Eds), Proceedings, 7th International Symposium on Geotechnical Safety and Risk, Research Publishing, 2019, 11–13 December 2019, Taipei, Taiwan, 899pp. ISBN : 978-981-11-2725-0, DOI : 10.3850/9789811127250-toc.
  • [20] Pan Q, Dias D.Probabilistic Analysis of a Rock Tunnel Face Using Polynomial Chaos Expansion Method[J]. International Journal of Geomechanics, 2018, 18(4): 04018013. https://doi. org/10.1061/(ASCE)GM.1943-5622.0001116.
  • [21] Pieczyńska-Kozłowska JM. Comparison between two methods for estimating the vertical scale of fluctuation for modelling random geotechnical problems. Studia Geotechnica et Mechanica 37(2015), 4:95–103.
  • [22] Pieczyńska-Kozłowska JM, Puła W, Griffiths DV, Fenton GA. Influence of embedment, self-weight and anisotropy on bearing capacity reliability using the random finite element method. Computers and Geotechnics, 2015; 67, 229–238.
  • [23] Pieczyńska-Kozłowska JM, Puła W, Vessia G. A collection of fluctuation scale values and autocorrelation functions of fine deposits in Emilia Romagna Palin, Italy; Geo-Risk 2017; Reston: American Society of Civil Engineers, 290–299.
  • [24] Puła W. On some aspects of reliability computations in bearing capacity of shallow foundations. In: Griffiths DV, Fenton Gordon A, editors. Puła in: probabilistic methods in geotechnical engineering. CISM courses and lectures, Wien, New York: Springer, 2007; No. 491, 127–45.
  • [25] Puła W, Chwała M. On spatial averaging along random slip lines in the reliability computations of shallow strip foundations. Computers and Geotechnics, 2015; 68, 128–136. https://doi. org/10.1016/j.compgeo.2015.04.001
  • [26] Puła W, Pieczyńska-Kozłowska JM, Chwała M. Search for the Worst-Case Correlation Length in the Bearing Capacity Probability of Failure Analyses; Geo-Risk 2017; Reston: American Society of Civil Engineers, 534–544.
  • [27] Puła W, Chwała M. Random bearing capacity evaluation of shallow foundations for asymmetrical failure mechanisms with spatial averaging and inclusion of soil self-weight. Computers and Geotechnics, 2018; 101, 176–195. https://doi. org/10.1016/j.compgeo.2018.05.002
  • [28] Simoes JT, Neves LC, Antao AN, Guerra NMC. Probabilistic analysis of bearing capacity of shallow foundations using three-dimensional limit analyses. Int. J. Comput. Methods, 11 (02) (2014) pp. 1342008-1-20
  • [29] Vanmarcke EH. Random fields – analysis and synthesis. Cambridge: MIT Press, 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff35da03-27ae-48a3-bff5-f4fec7b968ff
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