Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces

This thesis is concerned with the numerical solution of several important classes of boundary value problems involving bimaterials with imperfect interfaces. The use of imperfect interfaces in the analysis of layered materials is in line with the current research trends in engineering science. Probl...

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Main Author: Chen, Ei Lene
Other Authors: Ang Whye Teong
Format: Theses and Dissertations
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/55402
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-554022023-03-11T17:31:24Z Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces Chen, Ei Lene Ang Whye Teong School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering This thesis is concerned with the numerical solution of several important classes of boundary value problems involving bimaterials with imperfect interfaces. The use of imperfect interfaces in the analysis of layered materials is in line with the current research trends in engineering science. Problems in steady state axisymmetric heat conduction and plane elastostatics are considered in this thesis. The imperfect interfaces of the bimaterials in the axisymmetric heat conduction analysis are either low or high conducting. For the plane elastostatic analysis, the interfaces are assumed to be either soft or stiff. For both the axisymmetric heat conduction and plane elastostatic problems considered, special Green's functions are derived for cases where the imperfect interfaces are flat (planar). The Green's functions are chosen to satisfy the relevant imperfect interfacial conditions and employed to derive boundary integral equations that do not involve integrals over the imperfect interfaces. Boundary element procedures based on the boundary integral equations, which do not require the interfaces to be discretized into elements, are then proposed for solving numerically the boundary value problems for the bimaterials. An alternative boundary element approach based on hypersingular integral formulation of the imperfect interfacial conditions is also proposed for the numerical solution of axisymmetric heat conduction problems involving bimaterials with low and high conducting interfaces. Unlike the special Green's function boundary element approaches for flat interfaces, the hypersingular boundary integral method may be used to solve problems involving curved interfaces. Together with a corrective-predictor procedure, it is applied too to solve an axisymmetric heat conduction problem involving nonlinear interfacial conditions. The validity and the accuracy of all the boundary element approaches proposed in this thesis are examined by solving numerically specific test problems that have known analytical solutions. The numerical solutions are found to agree well with the analytical ones. For some problems that may be of practical interest, the effects of the interfacial parameters on the heat conduction or elastic deformation of bimaterials with imperfect interfaces are studied using the boundary element procedures. The results obtained appear to be intuitively and qualitatively acceptable. DOCTOR OF PHILOSOPHY (MAE) 2014-02-27T01:21:06Z 2014-02-27T01:21:06Z 2014 2014 Thesis Chen, E. L. (2014). Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/55402 10.32657/10356/55402 en 192 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering
spellingShingle DRNTU::Engineering::Mechanical engineering
Chen, Ei Lene
Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
description This thesis is concerned with the numerical solution of several important classes of boundary value problems involving bimaterials with imperfect interfaces. The use of imperfect interfaces in the analysis of layered materials is in line with the current research trends in engineering science. Problems in steady state axisymmetric heat conduction and plane elastostatics are considered in this thesis. The imperfect interfaces of the bimaterials in the axisymmetric heat conduction analysis are either low or high conducting. For the plane elastostatic analysis, the interfaces are assumed to be either soft or stiff. For both the axisymmetric heat conduction and plane elastostatic problems considered, special Green's functions are derived for cases where the imperfect interfaces are flat (planar). The Green's functions are chosen to satisfy the relevant imperfect interfacial conditions and employed to derive boundary integral equations that do not involve integrals over the imperfect interfaces. Boundary element procedures based on the boundary integral equations, which do not require the interfaces to be discretized into elements, are then proposed for solving numerically the boundary value problems for the bimaterials. An alternative boundary element approach based on hypersingular integral formulation of the imperfect interfacial conditions is also proposed for the numerical solution of axisymmetric heat conduction problems involving bimaterials with low and high conducting interfaces. Unlike the special Green's function boundary element approaches for flat interfaces, the hypersingular boundary integral method may be used to solve problems involving curved interfaces. Together with a corrective-predictor procedure, it is applied too to solve an axisymmetric heat conduction problem involving nonlinear interfacial conditions. The validity and the accuracy of all the boundary element approaches proposed in this thesis are examined by solving numerically specific test problems that have known analytical solutions. The numerical solutions are found to agree well with the analytical ones. For some problems that may be of practical interest, the effects of the interfacial parameters on the heat conduction or elastic deformation of bimaterials with imperfect interfaces are studied using the boundary element procedures. The results obtained appear to be intuitively and qualitatively acceptable.
author2 Ang Whye Teong
author_facet Ang Whye Teong
Chen, Ei Lene
format Theses and Dissertations
author Chen, Ei Lene
author_sort Chen, Ei Lene
title Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
title_short Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
title_full Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
title_fullStr Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
title_full_unstemmed Green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
title_sort green's functions and boundary element methods for the analysis of bimaterials with imperfect interfaces
publishDate 2014
url https://hdl.handle.net/10356/55402
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