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Inclusion Based Boundary Element Met...

Song, Gan.

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Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials./
Author:	Song, Gan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	213 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Civil engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10268330
ISBN:	9781369707632

Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials.
Song, Gan.

Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 213 p.

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)--Columbia University, 2017.

Composite materials have attracted significant attention from both academia and industry in the past decades for their design flexibility, economical efficiency, and high performance. Typically, the composite materials consist of at least two material phases in such a manner that the overall performance is significantly improved compared with the individual phase. Since the microstructure of the composite can be controlled and designed during the manufacturing process, the material properties can be tailored to satisfy specific requirements in practical applications. Engineers and scientists are always seeking effective tools to characterize and predict the overall material properties of composite materials in short time with acceptable accuracy, therefore they can reduce the cost to design and develop novel composite materials. However, traditional numerical methods are often inapplicable to this need due to formidable computational cost and huge dataset required in modeling such a large multiphase material system.

ISBN: 9781369707632Subjects--Topical Terms:

860360
Civil engineering.

Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials.
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100 1 $a Song, Gan. $3 3287982
245 1 0 $a Inclusion Based Boundary Element Method for Modeling and Simulation of Composite Materials.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 213 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Huiming Yin.
502 $a Thesis (Ph.D.)--Columbia University, 2017.
520 $a Composite materials have attracted significant attention from both academia and industry in the past decades for their design flexibility, economical efficiency, and high performance. Typically, the composite materials consist of at least two material phases in such a manner that the overall performance is significantly improved compared with the individual phase. Since the microstructure of the composite can be controlled and designed during the manufacturing process, the material properties can be tailored to satisfy specific requirements in practical applications. Engineers and scientists are always seeking effective tools to characterize and predict the overall material properties of composite materials in short time with acceptable accuracy, therefore they can reduce the cost to design and develop novel composite materials. However, traditional numerical methods are often inapplicable to this need due to formidable computational cost and huge dataset required in modeling such a large multiphase material system.
520 $a This Ph.D. dissertation develops an effective and accurate numerical method, the inclusion based boundary element method (I-BEM), to study the multiphysical and mechanical behavior of composite materials. This method is applicable to linear elasticity, potential flow or Stokes fluid dynamics. It combines the basic ideas of Eshelby's equivalent inclusion method (EIM) in classic micromechanics and the boundary element method (BEM) in computational mechanics, in which the field response can be determined by the superposition of the volume integral of the eigen-fields and the surface integral of the boundary variables.
520 $a This dissertation first demonstrates the application and extension of the EIM from elastic problems to Stokes fluid, potential flow problems for a multiphase material system in the infinite domain. Moreover, by simply switching the Green function for infinite domain solutions to semi-infinite domain solutions, this method works for the semi-infinite domain problems as well. This dissertation also investigates the particle-particle interaction and particle-boundary interaction, which exhibits the limitation of the classic micromechanics that was based on the Eshelby's solution for one particle embedded in the infinite domain and demonstrates the necessity to consider the particle interactions and boundary effects for a composite containing a fairly high volume fraction of dispersed phases.
520 $a Although the EIM enables us to use the eigen-field to simulate the material mismatch, it is still infeasible to find a Green's function for a bounded composite domain with arbitrary geometry. Here, the I-BEM is proposed as an effective numerical method to tackle this complicated problem, which takes advantages of both the EIM and the BEM. The boundary integral equations will be incorporated into the equivalent conditions so that boundary effects will be taken into account. On the other side, the field induced by inclusions is added into traditional BEM formulas, so that the particle-particle interaction and the boundary-particle interaction can be mathematically described in a linear equation system. Compared with traditional BEM or FEM, no mesh for each particle is required. It can simulate thousands of particles efficiently for 3-D problems with an affordable computational cost. Moreover, the ellipsoidal shape is versatile for modeling different types of inhomogeneities, such as spheres, micro-cracks, disks, fibers. This method can be easily extended to multiphysical analysis such as elastodynamic problems, fluid mechanics, and potential flow problems by switching the fundamental solutions in accordance with the specific boundary value problems. A software package---iBEM has been developed by C++ with the parallel computing technique in my Ph.D. studies, which transforms the Eshelby's classic micromechanics theory into a modern numerical method for virtual experiments of composite materials with infinite, semi-infinite, finite domains respectively. Some case studies demonstrate the capability and application of this method and software.
520 $a First, for infinite domain composites, the EIM has been used in the simulation of multiphysical and mechanical behavior of the infinite domain containing a number of magnetic particles. The alignment of magnetic particles in a high viscous fluid was successfully simulated. The obtained particle chains are validated with experimental observations. The format of the chain for different volume fractions of particles are studied by virtual experiments. For the cases of solid loads larger that 20 vol%, ferromagnetic particle clustering is observed, so the chain structure is not clear.
520 $a For semi-infinite composites, the boundary effect on the elastic field is explored through EIM. Formulation of inhomogeneities in a semi-infinite domain was derived based on Mindlin's solution. It was demonstrated that the particle-particle interaction and boundary effect both made significant contributions to the elastic fields. Moreover, for the semi-infinite HDPE domain containing a simple cubic lattice of aluminum particles, the effective Young's modulus, Poisson's ratio, and shear modulus were evaluated by volumetric average stress and strain. (Abstract shortened by ProQuest.).
590 $a School code: 0054.
650 4 $a Civil engineering. $3 860360
650 4 $a Mechanics. $3 525881
690 $a 0543
690 $a 0346
710 2 $a Columbia University. $b Civil Engineering and Engineering Mechanics. $3 2093087
773 0 $t Dissertation Abstracts International $g 78-09B(E).
790 $a 0054
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10268330