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Calculation of Heterogenous Material Properties by Using of Eshelby based and BEM Methods

Yazdanparast, Reza | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44445 (45)
  4. University: Sharif University of Technology
  5. Department: aerospace engineering
  6. Advisor(s): Hosseini Kordkheili, Ali
  7. Abstract:
  8. To days the heterogeneous material are used extensively in the engineering materials. Optimization ability is a key feature of these materials to reach desired properties. Heterogeneous materials are the materials that make up from the constituents of multiphase materials in lower length scale such as mesoscopic, microscopic or/and Nano scales. So the properties of these materials at each scale are depending on to several characteristics of heterogeneities such as geometry, material and packing. In these materials the effects of heterogeneities at the lower scales are very significant and the constitutive equations are different for each range of scale. The proper selection of this range scales are depended on the heterogeneities length scale and related constitutive equation. Wide researches have been done on the heterogeneous materials analyzing and designing at the resent century.The most of proposed methods due to the heterogamete’s microscopic length scale accomplished in micro mechanic fields. In these methods in order to determine the overall material properties, the micro mechanical constitutive equations are used. This thesis we devote the some study on above proposed methods. These analytical methods with related constitutive relations are used to approximate overall materials properties and micro scale stress and stress fields. Since the analytical micromechanic methods aren’t able for applying in high complexity heterogeneities arrangement, the numerical BEM are proposed. In order to calculate the overall properties we need down scale information that are determined by related constitutive equations. So create a proper connection between related scale are very necessary. In this thesis in order to implementation of this connection, the Multiscale modeling has been used
  9. Keywords:
  10. Heterogeneous Materials ; Multiscale Modeling ; Micromechanics ; Boundary Element Method ; Eshelbi Method

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