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Application of homogenization techniques for inflow transport approximation on light water reactor analysis

Nuclear Science and techniques 2022年第1期33卷 67-80页

作者： Xiang Xiao Kan Wang Tong-Rui Yang Yi-Xue Chen Department of Engineering Physics Tsinghua UniversityBeijing 100084China State Power Investment Corporation Research Institute Co.LtdBeijing 100029China

The transport cross-section based on inflow transport approximation can significantly improve the accuracy of light water reactor(LWR)analysis,especially for the treatment of the anisotropic scattering effect.The previous inflow transport approximation is based on the moderator cross-section and normalized fission source,which is approximated using transport theory.Although the accuracy of reactivity is increased,the P0 flux moment has a large error in the Monte Carlo code.In this study,an improved inflow transport approximation was introduced with homogenization techniques,applying the homogenized cross-section and accurate fission source.The numerical results indicated that the improved inflow transport approximation can increase the P0 flux moment accuracy and maintain the reactivity calculation precision with the previous inflow transport approximation in typical LWR cases.In addition to this investigation,the improved inflow transport approximation is related to the temperature factors.The improved inflow transport approximation is flexible and accurate in the treatment of the anisotropic scattering effect,which can be directly used in the temperature-dependent nuclear data library.

关键词： Inflow transport approximation Anisotropic scattering effect homogenization techniques Light water reactor

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Strength criterion of porous media: Application of homogenization techniques

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Journal of Rock Mechanics and Geotechnical Engineering 2017年第1期9卷 62-73页

作者： L. Dormieux E. Lemarchand D. Kondo S. Brach CNRS UMR 8205 ENPC Laboratoire Navier 6 et 8 avenue Blaise Pascal 77455 Marne-la-Vallée France UPMC Institut Jean le Rond d’Alembert Paris France

The present paper aims at giving some general ideas concerning the micromechanical approach of the strength of a porous material. It is shown that its determination theoretically amounts to solving a nonlinear boundary value problem defined on a representative elementary volume(REV). The principle of nonlinear homogenization is illustrated based on the case of a solid phase having a Green’s strength criterion. An original refinement of the so-called secant method(based on two reference strains) is also provided. The paper also describes the main feature of the Gurson’s model which implements the principle of limit analysis on a conceptual model of hollow sphere. The last part of the paper gives some ideas concerning poromechanical couplings.

关键词： Strength criterion Porous media homogenization techniques Nonlinear behavior Limit analysis Gurson’s model

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