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10月29日力学系与湍流国家重点实验室——Effective Properties of Porous and Poroelastic Materials & Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical System



讲座题目:报告一:Effective Properties of Porous and Poroelastic Materials 

报告人:G. BONNET

报告内容摘要
      The construction of constitutive equations for heterogeneous materials can be effected from a phenomenological approach or from the approach of “homogenization” which allows the obtaining of constitutive equations and the “effective” macroscopic properties from the properties of constituting materials. In a first step, the application of the asymptotic theory for homogenization of porous media is presented, allowing to recover the structure of constitutive equations and to build the equations at the microscopic level. An example of application to the dynamics of porous media is presented. In a second step, the integration of the equations at the microscopic scale by the method of Fourier series is presented, allowing to compute the effective physical parameters at the macroscopic scale. Examples are given in the field of porous materials, including the case of slip flow related to gas permeability.

报告人简介
      G. BONNET is currently a professor at Université Paris-Est-Marne la Vallée,he serves as Head of Master in Mechanics and Civil Engineering since 2006. His main research interests include Mathematical physics, Structural Engineering, Mechanics of Materials, and Seismic Engineering.

报告二:Stochastic Reduced Order Models for Uncertain Infinite-Dimensional Geometrically Nonlinear Dynamical System

报告人:C. SOIZE

报告内容摘要
      The application of the nonparametric stochastic modeling technique to reduced order models of geometrically nonlinear structures recently proposed is here further demonstrated. The complete methodology: selection of the basis functions, determination and validation of the mean reduced order model, and introduction of uncertainty is first briefly reviewed. Then, it is applied to a cantilevered beam to study the effects of uncertainty on its response to a combined loading composed of a static inplane load and a stochastic transverse excitation representative of earthquake ground motions. The analysis carried out using a 7-mode reduced order model permits the efficient determination of the probability density function of the buckling load and of the uncertainty bands on the power spectral densities of the stochastic response, transverse and inplane, of the various points of the structure.

报告人简介
      C. Soize is currently a Professor at Universit? e Paris-Est Marne-la-Vallée. His research interests include: Modeling and computational methods in linear and nonlinear structural dynamics, structural acoustics, vibroacoustics and coupled systems; Stochastic dynamics, random vibration for linear and nonlinear dynamical systems; Probabilistic approaches for uncertainties modeling, their quanti?cation and their propagation for complexstructures and vibroacoustic systems and in mechanics of materials including live tissues; Stochastic approaches in micro-mechanics and multi-scale mechanics of heterogeneous materials.

时 间:10月29日(周五)下午2:30-4:30
地 点:力学楼434会议室
主持人王建祥(教授)