Crack simulation and probability analysis using irregular truss structure modeling equivalent to a continuum structure
Abstract
Keywords: crack simulation, probability analysis, irregular truss structure model, failure criteria, Monte Carlo simulation
DOI: 10.3965/j.ijabe.20171001.2024
Citation: Choi W, Yoon S, Lee J. Crack simulation and probability analysis using irregular truss structure modeling equivalent to a continuum structure. Int J Agric & Biol Eng, 2017; 10(1): 234–247.
Keywords
Full Text:
PDFReferences
Neville A M. Properties of concrete. New York, NY: John Wiley and Sons, 1996.
Park R, Paulay T. Reinforced concrete structures. New York, NY: John Wiley and Sons, 1975.
Corotis R B. Probability-based design codes. Concr. Int., 1985; 7(4): 42–49.
Hasofer A M, Lind N C. Exact and invariant second-moment code format. J. Eng. Mech. Div., ASCE, 1974; 100(1): 111–121.
Cornell C A. Bounds on the reliability of structural systems. J. Struct. Div., ASCE, 1967; 93(1): 171–00.
Freudenthal A M. Safety and the probability of structural failure. T. ASCE, 1956; 121(1): 1337–1397.
Shinozuka M. Basic analysis of structural safety. J. Struct. Div., ASCE, 1983; 109(3): 721–740.
Rackwitz R, Fiessler B. Note on discrete safety checking when using non-normal stochastic models for basic variables. Loads Project Working Session. Cambridge, MA: MIT. 1976.
Rackwitz R, Fiessler B. Structural reliability under combined random load sequences. Comput. Struct., 1978; 9(5): 489–494.
Hohenbichler M, Rackwitz R. Non-normal dependent vectors in structural safety. J. Eng. Mech. Div., ASCE, 1981; 107(6): 1227–1238.
Rosenblatt M. Remarks on a multivariate transformation. Ann. Math. Stat., 1952; 23(3): 470–472.
Fiessler B, Rackwitz R, Neumann H J. Quadratic limit states in structural reliability. J. Eng. Mech. Div., ASCE, 1979; 105(4): 661–676.
Breitung K. Asymptotic approximations for multinormal integrals. J. Eng. Mech. Div., ASCE, 1984; 110(3): 357–366.
Madsen H O, Krenk S, Lind N C. Methods of structural safety. Englewood Cliffs, NJ: Prentice-Hall, Inc. 1986.
Tvedt L. Two second-order approximations to the failure probability. Section on Structural Reliability. Hovik, Norway: A/S Vertas Research. 1984.
Tvedt L. On the probability content of a parabolic failure set in a space of independent standard normally distributed random variables. Section on Structural Reliability. Hovik, Norway: A/S Vertas Research. 1985.
Kiureghian A D, Lin H Z, Hwang S J. Second-order reliability approximations. J. Eng. Mech. Div., ASCE, 1986; 113(8): 1208–1225.
Lee J. Reliability analysis modeling of frame structures based on discretized ideal plastic method. PhD dissertation. Seoul, South Korea: Seoul National University, 1991, 2.
Park S. System reliability analysis of reinforced concrete frames. PhD dissertation. Seoul, South Korea: Seoul National University, 1992, 2.
Yang Y, Kim J. Probabilistic finite element analysis of plane frame. J. Comput. Struct. Eng. Inst. Korea, 1989; 2(4): 89–98.
Handa K, Anderson K. Application of finite element methods in stochastic analysis of structures. Proc. 3rd Intl. Conf. Structural Safety and Reliability. New York, NY: IASAR. 1981.
Ang A H-S, Amin M. Studies of probabilistic safety analysis of structures and structural systems. Urbana, IL: University of Illinois. 1967.
Ishizawa J. On the reliability of indeterminate structural systems. PhD dissertation. Urbana, IL: University of Illinois, 1968.
Stevenson J, Moses F. Reliability analysis of frame structures. J. Struct. Div., ASCE, 1970; 96(11): 2409–2427.
Gorman M. Automatic generation of collapse mode equation. J. Struct. Div., 1981; 107(7): 1350–1354.
Ma H-F, Ang A H-S. Reliability analysis of redundant ductile structural systems. Urbana, IL: University of Illinois. 1981.
Moses F. System reliability developments in structural engineering. Struct. Saf., 1982; 1(1): 3–13.
Moses F, Stahl B. Reliability analysis format for offshore structures. Proc. the 10th Ann. Offshore Technology Conference. Houston, TX: OTC. 1978.
Murotsu Y, Okada H, Taguchi K, Grimmelt M, Yonezawa M. Automatic generation of stochastically dominant failure modes of frame structures. Struct. Saf., 1984; 2(1): 17–25.
Thoft-Christensen P, Murotsu Y. Application of structural systems reliability theory. New York, NY: Springer-Verlag. 1986.
Ditlevsen O, Bjerager P. Reliability of highly redundant plastic structures. J. Eng. Mech., ASCE, 1984; 110(5): 671–693.
Grimmelt M, Schueller G I. Benchmark study on methods to determine collapse failure probabilities of redundant structures. Struct. Saf., 1982; 1(2): 93–106.
Melchers R E. Structural system reliability assessment using directional simulation. Struct. Saf., 1994; 16(1-2): 23–37.
Moses F, Fu G. Important sampling in structural system reliability. Proc. the 5th ASCE-EMD/GTD/STD Specialty Conf. Probabilistic Mechanics. Reston, VA: ASCE. 1988.
Rashedi M R. Studies on reliability of structural systems. PhD dissertation. Cleveland, OH: Case Western Reserve University, 1984.
Corotis R B, Nafday A M. Structural system reliability using linear programming and simulation. J. Struct. Eng., ASCE, 1989; 115(10): 2435–2447.
Kim D. Matrix-based system reliability analysis using the dominant failure mode search method. PhD dissertation. Seoul, South Korea: Seoul National University, 2009, 2.
Melchers R E. Structural reliability, analysis and prediction. West Suxess, England: Ellis Horwood, 1987.
Box G E P, Muller M E. A note on the generation of random normal deviates. Ann. Math. Stat., 1958; 29(2): 610–611.
Gálvez J C, Elices M, Guinea G V, Planas J. Mixed mode fracture of concrete under proportional and nonproportional loading. Int. J. Fracture, 1998; 94(3): 267–284.
Griffith A A. The phenomena of rupture and flow in solids. Philos. T. R. Soc. Lond., 1920; 221: 163–198.
Griffith A A. The Theory of rupture. Proc. 1th Intl. Congr. Applied Mechanics. New York, NY: John Wiley & Sons, Inc, 1924.
Irwin G R. Fracture mechanics. Proc. the 1th Sym. Naval Structural Mechanics. Elmsford, NY: Pergamon Press, 1956.
Copyright (c)