期刊文献+

Stochastic framework for modeling the linear apparent behavior of complex materials:Application to random porous materials with interphases

Stochastic framework for modeling the linear apparent behavior of complex materials:Application to random porous materials with interphases
下载PDF
导出
摘要 This paper is concerned with the modeling of randomness in multiscale analysis of heterogeneous materials. More specifically, a framework dedicated to the stochastic modeling of random properties is first introduced. A probabilistic model for matrix-valued second-order random fields with symmetry propertries, recently proposed in the literature, is further reviewed. Algorithms adapted to the Monte Carlo simulation of the proposed representation are also provided. The derivations and calibration procedure are finally exemplified through the modeling of the apparent properties associated with an elastic porous microstructure containing stochastic interphases. This paper is concerned with the modeling of randomness in multiscale analysis of heterogeneous materials. More specifically, a framework dedicated to the stochastic modeling of random properties is first introduced. A probabilistic model for matrix-valued second-order random fields with symmetry propertries, recently proposed in the literature, is further reviewed. Algorithms adapted to the Monte Carlo simulation of the proposed representation are also provided. The derivations and calibration procedure are finally exemplified through the modeling of the apparent properties associated with an elastic porous microstructure containing stochastic interphases.
机构地区 Universit Paris-Est
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2013年第6期773-782,共10页 力学学报(英文版)
基金 supported by the French National Research Agency(ANR)(ANR-12-JS09-0001-01)
关键词 Apparent properties MAXENT Probabilistic model Apparent properties MaxEnt Probabilistic model
  • 相关文献

参考文献22

  • 1Ostoja-Starzewski, M.: Microstructural Randomness and Scal-ing in Mechanics of Materials. Chapman and Hall-CRC, USA(2008).
  • 2Torquato, S.: Random Heterogeneous Materials: Microstruc-ture and Macroscopic Properties. Springer, New York (2002).
  • 3Serra, J.: Image Analysis and Mathematical Morphology. Aca-demic Press, London (1982).
  • 4Clement, A., Soize, C., Yvonnet, J.: Computational nonlinearstochastic homogenization using a non-concurrent multiscaleapproach for hyperelastic heterogeneous microstructures anal-ysis. International Journal of Numerical Methods in Engineer-ing 91, 799-824 (2012).
  • 5Tootkaboni, M., Graham-Brady, L.L.: A multi-scale spec-tral stochastic method for homogenization of multi-phase pe-riodic composites with random material properties. Interna-tional Journal of Numerical Methods in Engineering 83,59-90(2010).
  • 6Soize, C.: Tensor-valued random fields for meso-scale stochas-tic model of anisotropic elastic microstructure and probabilisticanalysis of representative volume element size. ProbabilisticEngineering Mechanics 23, 307-323 (2008).
  • 7Ta, Q.A., Clouteau, D., Cottereau, R.: Modeling of randomanisotropic elastic media and impact on wave propagation.European Journal of Computational Mechanics 19, 241-253(2010).
  • 8Soize, C.: A non parametric model of random uncertainties onreduced matrix model in structural dynamics. Probabilistic En-gineering Mechanics 15, 277-294 (2000).
  • 9Guilleminot, J., Soize, C.: Stochastic model and generator forrandom fields with symmetry properties: Application to themesoscopic modeling of elastic random media. SIAM Mul-tiscale Modeling and Simulation 11, 840-870 (2013).
  • 10Soize, C.: Non-gaussian positive-definite matrix-valued ran-dom fields for elliptic stochastic partial differential operators.Computer Methods in Applied Mechanics and Engineering195, 26-64 (2006).

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部