Advances and Applications in Mechanical Engineering and Technology[1] Carsten Carstensen, Convergence of adaptive finite element methods
in computational mechanics, Appl. Numer. Math. 59 (2009), 2119-2130.
[2] Eurocode 3: Design of Steel Structures, European Committee for
Standardization, Brussels, 1992.
[3] G. Falsone and N. Impollonia, A new approach for the stochastic
analysis of finite element modelled structures with uncertain
parameters, Comput. Methods Appl. Mech. Engg. 191 (2002), 5067-5085.
[4] A. M. Hasofer and N. C. Lind, Exact and invariant second-moment
code format, ASCE, J. Engg. Mech. Div., 100 EM1 (1974), 111-121.
[5] S. Kadry, A proposed technique to evaluate the stochastic
mechanical response based on transformation with finite element
method, Int. J. Appl. Math. Mech. 2 (2006), 94-108.
[6] S. Kadry, On the generalization of probabilistic transformation
method, Appl. Math. Comput. 190(2) (2007), 1284-1289.
[7] A. Der Kiureghian and J.- B. Ke, The stochastic finite element
method in structural reliability, Probab. Engg. Mech. 3(2) (1988),
83-91.
[8] R. Lebrun, A. Dutfoy Do Rosenblatt and Nataf, Isoprobabilistic
transformation really differ?, Comput. Probab. Engg. Mech. 24 (2009),
577-584.
[9] M. Lemaire, Evaluation of reliability index associated to
structural mechanical models, French Journal of Mechanic 2 (1992),
145-154.
[10] M. Lemaire, A. Mohamed and O. Flores-Macias, The Use of Finite
Element Codes for the Reliability of Structural Systems, Frangopol,
1997.
[11] H. O. Madsen, S. Kenk and N. C. Lind, Methods of Structural
Safety, Prentice-Hall Inc., 1986.
[12] A. Mohamed and M. Lemaire, Linearized mechanical model to
evaluate reliability of offshore structures, Structural Safety 17
(1995), 167-193.
[13] G. Muscolino, G. Ricciardi and N. Impollonia, Improved dynamic
analysis of structures with mechanical uncertainties under
deterministic input, Probabilistic Engineering Mechanics, Struct. Saf.
15 (2000), 199-212.
[14] Benoit Van den Nieuwenhof and Jean-Pierre Coyette, Model
approaches for the stochastic finite element analysis of structures
with material and geometric uncertainties, Comput. Methods Appl. Mech.
Engg. 192 (2003), 3705-3729.
[15] M. Pendolaa, A. Mohamed, M. Lemaire and P. Horneta, Combination
of finite element and reliability methods in nonlinear fracture
mechanics, Reliability Engineering and System Safety 70 (2000), 15-27.
[16] R. Rackwitz, Reliability analysis-A review and some perspectives,
Struct. Saf. 23 (2001), 365-395.
[17] Bruno Sudreta and Armen Der Kiureghian, Comparison of finite
element reliability methods, Probab. Engg. Mech. 17 (2002),
337-348.
[18] Cheng Ying, Tu Hong-mao and Fan Hong-li, Implementation of an
optimum algorithm for structural reliability analysis based on FEM,
Front. Mech. Engg. China 4 (2006), 468-471.
