참고문헌
- Baecher, G.B. and Christian, J.T. (2003), Reliability and statistics in geotechnical engineering: John Wiley & Sons.
- Box, G.E.P. and Tiao, G.C. (1992), Bayesian inference in statistical analysis: Wiley.
- Caspeele, R. and Taerwe, L. (2013), "Numerical Bayesian updating of prior distributions for concrete strength properties considering conformity control", Adv. Concrete Construct., 1(1), 85-102. https://doi.org/10.12989/acc.2013.1.1.085
- Cressie, N.A.C. (1993), Statistics for spatial data: J. Wiley.
- Duprat, F. (2007), "Reliability of RC beams under chloride-ingress", Construct. Build. Mater., 21(8), 1605-1616. https://doi.org/10.1016/j.conbuildmat.2006.08.002
- Emery, X. and Cornejo, J. (2010), "Truncated Gaussian simulation of discrete-valued, ordinal coregionalized variables", Comput. Geosci., 36(10), 1325-1338. https://doi.org/10.1016/j.cageo.2010.03.013
- Emery, X. and Lantuejoul, C. (2006), "TBSIM: A computer program for conditional simulation of threedimensional Gaussian random fields via the turning bands method", Comput. Geosci., 32(10), 1615-1628. https://doi.org/10.1016/j.cageo.2006.03.001
- Engelund, S. (1997), Probabilistic Models and Computational Methods for Chloride Ingress in Concrete. . Aalborg University, Aalborg
- Fenton, G. (1994), "Error evaluation of three random field generators", J. Eng. Mech., 120(12), 2478-2497. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:12(2478)
- Firouzi, A. and Rahai, A.R. (2011), Prediction of extent and liklihood of corrosion-induced cracking in reinforced concrete bridge decks, Int. J. Civil Eng., 9(3), 183-192.
- Gamerman, D. and Lopes, H.F. (2006), Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference, Second Edition: Taylor & Francis.
- Gelman, A., Carlin, J.B., Stern, H.S. and Rubin, D.B. (2003), Bayesian Data Analysis: Chapman & Hall/CRC.
- Ghosh, J.K., Delampady, M. and Samanta, T. (2010), An Introduction to Bayesian Analysis: Theory and Methods: Springer.
-
Gregory, P. (2005), Bayesian Logical Data Analysis for the Physical Sciences: A Comparative Approach with
$Mathematica^{(R)}$ Support: Cambridge University Press. - Griffiths, D., Fenton, G. and Manoharan, N. (2002), Bearing Capacity of Rough Rigid Strip Footing on Cohesive Soil: Probabilistic Stud, J. Geotech. Geoenviron. Eng., 128(9), 743-755. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:9(743)
- Griffiths, D.V., Huang, J. and Fenton, G.A. (2011), "Probabilistic infinite slope analysis", Comput. Geotech., 38(4), 577-584. https://doi.org/10.1016/j.compgeo.2011.03.006
- Hastings, W.K. (1970), "Monte Carlo sampling methods using Markov chains and their applications", Biometrika, 57(1), 97-109. https://doi.org/10.1093/biomet/57.1.97
- Kessler, S., Huber, M., Straub, D., Gehlen, C. and Moormann, C. (2010), Stochastic Evaluation of Active Corroding Areas in Concrete Structures, Paper presented at the 8th International Probabilistic Workshop, Szczecin.
- Lee, P.M. (2012), Bayesian Statistics: An Introduction: Wiley.
- Li, Y. (2004), Effect of Spatial Variability on Maintenance and Repair Decisions for Concrete Structures. Delft University Press.
- Liu, J.S. (2008), Monte Carlo Strategies in Scientific Computing: Springer.
- Mantoglou, A. and Wilson, J.L. (1982), "The Turning Bands Method for simulation of random fields using line generation by a spectral method, Water Resour. Res., 18(5), 1379-1394. https://doi.org/10.1029/WR018i005p01379
- Matheron, G. (1962), Traite de geostatistique appliquee (Vol. 14), Editions Technip.
- Matheron, G. (1973), "The itrinsic rndom fnctions and their aplications", Adv. Appl. Prob., 5(3), 439-468. https://doi.org/10.2307/1425829
- Most, T. and Bucher, C. (2006), Stochastic simulation of cracking in concrete structures using multiparameter random fields, Int. J. Reliab. Safety, 1(1/2), 168-187. https://doi.org/10.1504/IJRS.2006.010696
- Most, T. and Bucher, C. (2007), Probabilistic analysis of concrete cracking using neural networks and random fields, Prob. Eng. Mech., 22(2), 219-229. https://doi.org/10.1016/j.probengmech.2006.11.001
- Nicholas, M., Arianna, W.R., Marshall, N.R., Augusta, H.T. and Edward, T. (1953), "Equation of State Calculations by Fast Computing Machines", J. Chem. Phys., 21(6), 1087-1092. https://doi.org/10.1063/1.1699114
- Perrin, F.S., Pendola, M. and De Rocquigny, E. (2007), Comparison of Markov chain Monte Carlo simulation and FORM-based approach for Bayesian updating of mechanical models. Paper presented at the 10th int. Conf. on Applications of Statistics and Probaility in Civil Engineering, Tokyo.
- Robert, C. and Casella, G. (2010), Monte Carlo Statistical Methods: Springer.
- Santoso, A.M., Phoon, K.K. and Quek, S.T. (2011), Modified Metropolis-Hastings algorithm with reduced chain correlation for efficient subset simulation, Prob.Eng. Mech., 26(2), 331-341. https://doi.org/10.1016/j.probengmech.2010.08.007
- Stewart, M.G. and Mullard, J.A. (2007), "Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures", Eng. Struct., 29(7), 1457-1464. https://doi.org/10.1016/j.engstruct.2006.09.004
- Straub, D. (2011), Reliability updating with inspection and monitoring data in deteriorating reinforced concrete slabs. Paper presented at the Application of Statistics and Probability in Civil Engineering, London.
- Straub, D. and Fischer, J. (2011), Reliability Assessment of Corroding Reinforced Concrete Slabs with Inspection Data. Paper presented at the 9th International Probabilistic Workshop, TU Braunschweig, germany.
- Trefethen, L.N. and Bau, D. (1997), Numerical Linear Algebra: SIAM.
- Van Der Vurst, F., Caspeele, R., Desnerck, P., Schutter, G.D. and Peirs, J. (2014), Modification of existing shape factor models for self- compacting concrete strength by means of Bayesian updating techniques, Materials and Structures.
- Vanmarcke, E. (2010), Random Fields: Analysis and Synthesis: World Scientific.
- Vasconcellos Real, M.D., Filho, A.C. and Maestrini, S.R. (2003), "Response variability in reinforced concrete structures with uncertain geometrical and material properties", Nuclear Eng. Des., 226(3), 205-220. https://doi.org/10.1016/S0029-5493(03)00110-9
- Vu, K.A.T. (2003), Corrosion-induced cracking and spatial timedependent reliability analysis of reinforced concrete structures, The University of Newcastle, New South Wales, Australia.
피인용 문헌
- A computational framework for Bayesian inference in plasticity models characterisation vol.321, 2017, https://doi.org/10.1016/j.cma.2017.04.017