Multiscale Modeling of Microstructure Discontinuities in Saturated Porous Media Using XFEM

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Misaghi Bonabi, Amin | 2020

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 53647 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Khoei, Amir Reza
Abstract:
The main purpose of this study is computational modeling of saturated deformable porous media using multiscale finite element method and explicit modeling of discontinuities such as microcracks at the microscopic scale. The real engineering problems we deal with in the simulation of the phenomenas happening in nature or industrial applications, in contrast to the simplifications being assumed, occur in heterogeneous materials. Although most microscopic heterogeneities are not present in macroscopic scale, they do have their effects on material behavior. In the computational homogenization method, the problem is analyzed coupled in two scales, therefore, the macroscopic behavior of media is obtained from the homogenization of behavior of media at the microscopic scale, and also the effect of problem analysis at the macroscopic scale on the microstructures of media is considered. In this research, using a extension of the principle of Hill-Mandel homogenization in saturated fractured porous media, a multiscale extended finite element method is developed. Then, by providing some examples, the results of this method are compared with direct numerical simulation
Keywords:
Saturated Porous Medium ; Computational Homogenization ; Extended Finite Element Method ; Linear Elastic Fracture Mechanics