Steel and Composite Structures

  • 제11권2호
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  • Pages.115-130
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  • 2011
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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Stochastic finite element analysis of composite plates considering spatial randomness of material properties and their correlations

  • Noh, Hyuk-Chun (Department of Civil and Environmental Engineering, Sejong University)
  • 투고 : 2010.01.27
  • 심사 : 2011.02.14
  • 발행 : 2011.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

Considering the randomness of material parameters in the laminated composite plate, a scheme of stochastic finite element method to analyze the displacement response variability is suggested. In the formulation we adopted the concept of the weighted integral where the random variable is defined as integration of stochastic field function multiplied by a deterministic function over a finite element. In general the elastic modulus of composite materials has distinct value along an individual axis. Accordingly, we need to assume 5 material parameters as random. The correlations between these random parameters are modeled by means of correlation functions, and the degree of correlation is defined in terms of correlation coefficients. For the verification of the proposed scheme, we employ an independent analysis of Monte Carlo simulation with which statistical results can be obtained. Comparison is made between the proposed scheme and Monte Carlo simulation.

키워드

과제정보

연구 과제 주관 기관 : Korea Institute of Energy Technology Evaluation and Planning(KETEP)

참고문헌

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피인용 문헌

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  2. Reliability in composites – A selective review and survey of current development vol.43, pp.3, 2012, https://doi.org/10.1016/j.compositesb.2011.10.007
  3. Analysis of CFRP laminated plates with spatially varying non-Gaussian inhomogeneities using SFEM vol.112, 2014, https://doi.org/10.1016/j.compstruct.2014.02.025
  4. The Certain Generalized Stresses Method for static analysis of multilayered composite plates with variability of material and physical properties vol.140, 2016, https://doi.org/10.1016/j.compstruct.2015.12.070
  5. Stochastic model order reduction in uncertainty quantification of composite structures vol.128, 2015, https://doi.org/10.1016/j.compstruct.2015.03.045
  6. The influence of production inconsistencies on the functional failure of GRP pipes vol.19, pp.6, 2015, https://doi.org/10.12989/scs.2015.19.6.1369
  7. Stochastic analysis of functional failure pressures in glass fiber reinforced polyester pipes vol.67, 2015, https://doi.org/10.1016/j.matdes.2014.12.003
  8. Probabilistic mesh-independent discrete damage analyses of laminate composites vol.133, 2015, https://doi.org/10.1016/j.compstruct.2015.07.083
  9. Reliability analysis to resolve difficulty in choosing from alternative deflection models of RC beams vol.37, pp.1-2, 2013, https://doi.org/10.1016/j.ymssp.2012.06.024
  10. Uncertainty qualification for the free vibration of a functionally graded material plate with uncertain mass density vol.143, pp.1755-1315, 2018, https://doi.org/10.1088/1755-1315/143/1/012021
  11. th order perturbation isogeometric stochastic method vol.74, pp.9, 2018, https://doi.org/10.1080/10407782.2018.1538296
  12. Probabilistic optimal safety valuation based on stochastic finite element analysis of steel cable-stayed bridges vol.10, pp.2, 2011, https://doi.org/10.12989/sss.2012.10.2.089
  13. Reliability analysis of a composite laminate using estimation theory vol.26, pp.3, 2011, https://doi.org/10.1007/s11771-019-4037-3
  14. Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties vol.349, pp.None, 2011, https://doi.org/10.1016/j.cma.2019.02.004
  15. Perturbation based stochastic isogeometric analysis for bending of functionally graded plates with the randomness of elastic modulus vol.17, pp.7, 2011, https://doi.org/10.1590/1679-78256066
  16. Inverse Estimation Method of Material Randomness Using Observation vol.10, pp.6, 2011, https://doi.org/10.3390/cryst10060512