The Certain Generalized Stresses Method for static analysis of multilayered composite plates with variability of material and physical properties
Source abstract
Abstract
Abstract In this paper, the Certain Generalized Stresses Method (CGSM) is developed for static probabilistic analysis of multilayered composite plates modeled by finite elements. The material and the physical properties are considered as random parameters. The variability of a displacement can be evaluated by a Monte Carlo Simulation (MCS) using an explicit expression. For calculating the variability of a displacement, only one nominal finite element analysis with two load cases is required. The variability of strains, stresses and failure criteria can also be evaluated by using the CGSM. Two examples, a two-layer bending plate and an eight-layer bending plate, are studied. The results are compared with those obtained by the direct MCS, considered as a reference, and those presented in the literature. The comparison shows that the CGSM + MCS approach provides quite accurate results and highlights the high computational efficiency of the proposed method.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Probabilistic and Robust Engineering Design · Structural Health Monitoring Techniques · Fatigue and fracture mechanics
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References (33)
Show source-provided references
1. Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty10.1016/j.ijsolstr.2007.09.008 ↗
2. Kriging-based approximate stochastic homogenization analysis for composite materials10.1016/j.cma.2007.12.011 ↗
3. Effect of the stochastic nature of the constituents parameters on the predictability of the elastic properties of fibrous nano-composites10.1016/j.compscitech.2012.08.006 ↗
4. Homogenization of metallic fiber-reinforced composites under stochastic ageing10.1016/j.compstruct.2011.07.027 ↗
5. The use of Monte Carlo techniques in statistical finite element methods for the determination of the structural behaviour of composite materials structural components10.1016/0263-8223(95)00055-0 ↗
6. Application of the spectral stochastic finite element method for performance prediction of composite structures10.1016/j.compstruct.2005.11.009 ↗
7. Uncertain out-of-plane behavior of composite plates due to spatially random material properties10.4028/www.scientific.net/AMM.166-169.3352 ↗
8. Stochastic finite element method for laminated composite structures10.1177/073168449501400702 ↗
9. Spectral stochastic finite element analysis for laminated composite plates10.1016/j.cma.2008.07.003 ↗
10. From local to global importance measures of uncertainty propagation in composite structures10.1016/j.compstruct.2007.10.012 ↗
11. Response variability of laminate composite plates due to spatially random material parameter10.1016/j.cma.2011.03.020 ↗
12. Stochastic finite element analysis of composites plates considering spatial randomness of material properties and their correlations10.12989/scs.2011.11.2.115 ↗
13. Probabilistic strength analysis of rectangular FRP plates using Monte Carlo simulation10.1016/S0045-7949(99)00171-6 ↗
14. Buckling failure analysis of random composite laminates subjected to random loads10.1016/S0020-7683(99)00305-4 ↗
15. Reliability of fiber-reinforced composite laminate plates10.1016/S0266-8920(02)00054-1 ↗
16. Buckling of laminated plates with random material characteristics10.1023/A:1008878912150 ↗
17. Generalized buckling analysis of laminated plates with random material properties using stochastic finite elements10.1016/j.ijmecsci.2006.01.002 ↗
18. Probabilistic failure of laminated composite plates using the stochastic finite element method10.1016/j.compstruct.2005.06.006 ↗
19. Stochastic nonlinear failure analysis of laminated composite plates under compressive transverse loading10.1016/j.compstruct.2011.11.018 ↗
20. Lardeur P, Oudjene M. La méthode MEGC pour le calcul de dispersion du comportement statique des treillis. In: Actes du 16ème Congrès Français de Mécanique, Nice, 1–5 Septembre 2003.
21. Lardeur P, Oudjene M, Arnoult E. Une méthode rapide pour la prise en compte des incertitudes dans les structures minces; application aux treillis. In: Actes du 6ème Colloque National en Calcul des Structures, Giens, 20–23 May 2003.
22. Lardeur P, Demri A, Lionnet C, Arnoult E. Application de la méthode MEGC aux treillis de barres hyperstatiques. In: Actes du 7ème Colloque National en Calcul des Structures, Giens, 17–20 May 2005.
23. The Certain Generalized Stresses Method for the static finite element analysis of bar and beam trusses with variability10.1016/j.finel.2011.09.013 ↗
24. Mahjudin M, Druesne F, Katili I, Lardeur P. La méthode CGSM pour l’analyse statique des plaques avec variabilité. In: Actes du 11ème Colloque National en Calcul des Structures, Giens, 17–20 May 2013.
25. Stochastic finite element analysis of simple beams
26. On the local average of random field in stochastic finite element analysis
27. Stochastic FEM based on local averages of random vector fields
28. Ghanem · 2003
29. Reddy · 2004
30. A first-ply failure analysis of composite laminates10.1016/0045-7949(87)90130-1 ↗
31. 2013
32. Higher order weighted integral stochastic finite element method and simplified first-order application10.1016/j.ijsolstr.2006.11.013 ↗
33. A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: random field case10.1016/j.probengmech.2003.08.001 ↗