Reliability analysis of drilled shaft behavior using finite difference method and Monte Carlo simulation

Misra, Anil; Roberts, Lance A.; Levorson, Steven M.

doi:10.1007/s10706-006-0007-2

Cited by 36 publications

(12 citation statements)

References 11 publications

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“…In this context, isogeometric numerical analysis (see, e.g., [21,22,60,62,113]) or other numerical methods (see, e.g., [19,20,23,25,59,61,114]) have been successfully applied to very similar mechanical problems. Remark that recently some alternative methods ( see, e.g., [32,68,74]) based on generalized cellular automata calculations have been proposed which seems suitable to describe numerically the time evolution of higher gradient continua.…”

Section: Experimental and Numerical Characterization Of Higher Gradiementioning

confidence: 99%

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

Scerrato

Giorgio

Rizzi

2016

Z. Angew. Math. Phys.

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Abstract. In this paper, we determine numerically a large class of equilibrium configurations of an elastic two-dimensional\ud continuous pantographic sheet in three-dimensional deformation consisting of two families of fibers which are parabolic\ud prior to deformation. The fibers are assumed (1) to be continuously distributed over the sample, (2) to be endowed of\ud bending and torsional stiffnesses, and (3) tied together at their points of intersection to avoid relative slipping by means of\ud internal (elastic) pivots. This last condition characterizes the system as a pantographic lattice (Alibert and Della Corte in\ud Zeitschrift f¨ur angewandte Mathematik und Physik 66(5):2855–2870, 2015; Alibert et al. in Math Mech Solids 8(1):51–73,\ud 2003; dell’Isola et al. in Int J Non-Linear Mech 80:200–208, 2016; Int J Solids Struct 81:1–12, 2016). The model that we\ud employ here, developed by Steigmann and dell’Isola (Acta Mech Sin 31(3):373–382, 2015) and first investigated in Giorgio\ud et al. (Comptes rendus Mecanique 2016, doi:10.1016/j.crme.2016.02.009), is applicable to fiber lattices in which threedimensional\ud bending, twisting, and stretching are significant as well as a resistance to shear distortion, i.e., to the angle\ud change between the fibers. Some relevant numerical examples are exhibited in order to highlight the main features of the\ud model adopted: In particular, buckling and post-buckling behaviors of pantographic parabolic lattices are investigated. The\ud fabric of the metamaterial presented in this paper has been conceived to resist more effectively in the extensional bias tests\ud by storing more elastic bending energy and less energy in the deformation of elastic pivots: A comparison with a fabric\ud constituted by beams which are straight in the reference configuration shows that the proposed concept is promising

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Section: Experimental and Numerical Characterization Of Higher Gradiementioning

confidence: 99%

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

Scerrato

Giorgio

Rizzi

2016

Z. Angew. Math. Phys.

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“…The capacity of the pile at a given settlement can be calculated using the load transfer method, in which both the soil around the pile and the soil below the pile toe are modeled as non-linear springs. The load transfer method adopted in this study is similar to that used in Misra et al (2007), as summarized in the APPENDIX. As a closed-form solution to the capacity of the pile corresponding to a settlement of 25 mm is not available, â nite diŠerence program is developed by the authors to calculate the pile capacity numerically based on the load transfer method.…”

Section: Example 1: Deep Foundation Serviceability Reliabilitymentioning

confidence: 99%

“…The statistics of the four variables are summarized in Table 1. As suggested in Misra et al (2007), the soil spring parameters are non-negative and are modeled as lognormal variables.…”

Section: Example 1: Deep Foundation Serviceability Reliabilitymentioning

confidence: 99%

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Kriging Numerical Models for Geotechnical Reliability Analysis

Zhang

Tang

2011

Soils and Foundations

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“…In the field of geomechanics, Monte Carlo analyses are often combined with numerical modelling techniques [10,[12][13][14][15][16][17]. In this example of its use, the Monte Carlo analysis proceeds by solving a numerical model where the input parameter values are selected at random from their representative statistical distribution, thereby treating each parameter as a random variable.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic analysis of a coal mine roadway including correlation control between model input parameters

Booth

Marshall

Stace

2016

Computers and Geotechnics

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription.For more information, please contact eprints@nottingham.ac.uk Abstract:Probabilistic analysis and numerical modelling techniques have been combined to analyse a deep coal mine roadway. Using the Monte Carlo method, a correlation control algorithm and a FLAC 2D finite difference model, a probability distribution of roof displacements has been calculated and compared to a set of measurements from an actual mine roadway. The importance of correlation between input parameters is also considered. The results show that the analysis performs relatively well, but does tend to over predict the magnitude of displacements. Correlation between parameters is shown to be very important, particularly between the three model stresses.

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Reliability analysis of drilled shaft behavior using finite difference method and Monte Carlo simulation

Cited by 36 publications

References 11 publications

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

Kriging Numerical Models for Geotechnical Reliability Analysis

Probabilistic analysis of a coal mine roadway including correlation control between model input parameters

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