Stochastic fracture mechanics using polynomial chaos
暂无分享,去创建一个
[1] R. Forman,et al. Numerical Analysis of Crack Propagation in Cyclic-Loaded Structures , 1967 .
[2] F. Kozin,et al. Stochastic fatigue, fracture and damage analysis , 1986 .
[3] R. Rackwitz,et al. Comparison of analytical counting methods for Gaussian processes , 1993 .
[4] Igor Rychlik,et al. Wiener chaos expansions for estimating rain-flow fatigue damage in randomly vibrating structures with uncertain parameters , 2011 .
[5] W. S. Venturini,et al. On the performance of response surface and direct coupling approaches in solution of random crack propagation problems , 2011 .
[6] Sankaran Mahadevan,et al. Uncertainty quantification and model validation of fatigue crack growth prediction , 2011 .
[7] B. N. Rao,et al. Stochastic fracture mechanics by fractal finite element method , 2008 .
[8] Anne S. Kiremidjian,et al. Stochastic modeling of fatigue crack growth , 1988 .
[9] James W. Provan,et al. Probabilistic fracture mechanics and reliability , 1987 .
[10] Bruno Sudret,et al. Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach , 2008 .
[11] G. I. Schuëller,et al. The fitting of one- and two-dimensional Fatigue Crack Growth laws , 1993 .
[12] Yibing Xiang,et al. Application of inverse first-order reliability method for probabilistic fatigue life prediction , 2011 .
[13] Sharif Rahman,et al. A dimensional decomposition method for stochastic fracture mechanics , 2006 .
[14] A. Beck,et al. Bending of stochastic Kirchhoff plates on Winkler foundations via the Galerkin method and the Askey–Wiener scheme , 2010 .
[15] P. C. Paris,et al. A Critical Analysis of Crack Propagation Laws , 1963 .
[16] R. Ghanem,et al. Stochastic Finite Elements: A Spectral Approach , 1990 .
[17] André T. Beck,et al. Modeling random corrosion processes via polynomial chaos expansion , 2012 .
[18] Daniel Straub,et al. Risk based inspection planning for structural systems , 2005 .
[19] Alaa Chateauneuf,et al. Random fatigue crack growth in mixed mode by stochastic collocation method , 2010 .
[20] I. Rychlik,et al. Rain-flow fatigue damage due to nonlinear combination of vector Gaussian loads , 2007 .
[21] E. Wolf. Fatigue crack closure under cyclic tension , 1970 .
[22] P. Goel,et al. The Statistical Nature of Fatigue Crack Propagation , 1979 .
[23] Roger Ghanem,et al. Stochastic model reduction for chaos representations , 2007 .
[24] G. I. Schuëller,et al. A probabilistic criterion for evaluating the goodness of fatigue crack growth models , 1996 .
[25] Hisanao Ogura,et al. Orthogonal functionals of the Poisson process , 1972, IEEE Trans. Inf. Theory.
[26] R. Askey,et al. Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials , 1985 .
[27] W. S. Venturini,et al. MULTIPLE RANDOM CRACK PROPAGATION USING A BOUNDARY ELEMENT FORMULATION , 2011 .
[28] P. H. Wirsching,et al. Fatigue Under Wide Band Random Stresses Using the Rain-Flow Method , 1977 .
[29] Wen-Fang Wu,et al. A study of stochastic fatigue crack growth modeling through experimental data , 2003 .
[30] Michael Havbro Faber,et al. Sensitivities in Structural Maintenance Planning , 1996 .
[31] Alaa Chateauneuf,et al. Coupled reliability and boundary element model for probabilistic fatigue life assessment in mixed mode crack propagation , 2010 .
[32] P. H. Wirsching,et al. Advanced fatigue reliability analysis , 1991 .
[33] W. T. Martin,et al. The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals , 1947 .
[34] Igor Rychlik,et al. Uncertainty in fatigue life prediction of structures subject to Gaussian loads , 2009 .
[35] Robert E. Melchers,et al. Overload failure of structural components under random crack propagation and loading - a random process approach , 2004 .
[36] A. Beck,et al. DESIGN-POINT EXCITATION FOR CRACK PROPAGATION UNDER NARROW-BAND RANDOM LOADING , 2013 .
[37] George E. Karniadakis,et al. Time-dependent generalized polynomial chaos , 2010, J. Comput. Phys..
[38] Hamouda Ghonem,et al. Experimental study of the constant-probability crack growth curves under constant amplitude loading , 1987 .
[39] Bruno Sudret,et al. Efficient computation of global sensitivity indices using sparse polynomial chaos expansions , 2010, Reliab. Eng. Syst. Saf..
[40] Gerhart I. Schuëller. Reliability – Statistical methods in fracture and fatigue , 2007 .
[41] Hiroshi Ishikawa,et al. Reliability assessment of structures based upon probabilistic fracture mechanics , 1994 .
[42] Mircea Grigoriu,et al. On the accuracy of the polynomial chaos approximation for random variables and stationary stochastic processes. , 2003 .
[43] S. Winterstein,et al. Random Fatigue: From Data to Theory , 1992 .
[44] Christian Soize,et al. Reduced Chaos decomposition with random coefficients of vector-valued random variables and random fields , 2009 .
[45] Y. K. Lin,et al. On fatigue crack growth under random loading , 1992 .
[46] P. Beaurepaire,et al. Reliability-based optimization of maintenance scheduling of mechanical components under fatigue , 2012, Computer methods in applied mechanics and engineering.
[47] Roger Ghanem,et al. Simulation of multi-dimensional non-gaussian non-stationary random fields , 2002 .
[48] Dongbin Xiu,et al. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..
[49] N. Wiener. The Homogeneous Chaos , 1938 .
[50] André T. Beck,et al. Timoshenko versus Euler beam theory: Pitfalls of a deterministic approach , 2011 .
[51] Alfonso Fernández-Canteli,et al. A new probabilistic model for crack propagation under fatigue loads and its connection with Wöhler fields , 2010 .
[52] Anne S. Kiremidjian,et al. Time series analysis of fatigue crack growth rate data , 1986 .
[53] Gerhart I. Schuëller,et al. Design of maintenance schedules for fatigue-prone metallic components using reliability-based optimization , 2010 .
[54] G. Schuëller,et al. Time variant structural reliability analysis using diffusive crack growth models , 1989 .
[55] B. Sudret,et al. An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis , 2010 .
[56] Y. K. Lin,et al. A stochastic theory of fatigue crack propagation , 1985 .
[57] S. D. Manning,et al. A simple second order approximation for stochastic crack growth analysis , 1996 .
[58] M. Nagode,et al. A general multi-modal probability density function suitable for the rainflow ranges of stationary random processes , 1998 .
[59] Asok Ray,et al. A stochastic model of fatigue crack propagation under variable-amplitude loading , 1999 .
[60] Akira Tsurui,et al. Application of the Fokker-Planck equation to a stochastic fatigue crack growth model , 1986 .