• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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• pp.41-52
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• 1998

A volume integral equation method and a mixed volume and boundary integral equation method are presented for the solution of plane elastostatic problems in solids containing orthotropic inclusions and voids. The detailed analysis of the displacement and stress fields are developed for orthotropic cylindrical and elliptic-cylindrical inclusions and voids. The accuracy and effectiveness of the new methods are examined through comparison with results obtained from analytical and boundary integral equation methods. Through the analysis of plane elastostatic problems in unbounded isotropic matrix containing orthotropic inclusions and voids, it is established that these new methods are very accurate and effective for solving plane elastostatic and elastodynamic problems in unbounded solids containing general anisotropic inclusions and voids or cracks.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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• pp.276-286
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• 1999

A recently developed numerical method based on a volume integral formulation is developed for the effective accurate calculation of the stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks and subjected to external loads. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and finite element method using ANSYS. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

• 대한기계학회논문집A
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• 제31권1호
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• pp.89-96
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• 2007

A volume integral equation method (VIEM) is applied for the effective analysis of plane elastostatic problems in unbounded solids containing single isotropic inclusion of two different shapes considering composite fiber volume fraction. Single cylindrical inclusion and single square cylindrical inclusion are considered in the composites with six different fiber volume fractions (0.25, 0.30, 0.35, 0.40, 0.45, 0.50). Using the rule of mixtures, the effective material properties are calculated according to the corresponding composite fiber volume fraction. The analysis of plane elastostatic problems in the unbounded effective material containing single fiber that covers an area corresponding to the composite fiber volume fraction in the bounded matrix material are carried out. Thus, single fiber, matrix material with a finite region, and the unbounded effective material are used in the VIEM models for the plane elastostatic analysis. A detailed analysis of stress field at the interface between the matrix and the inclusion is carried out for single cylindrical or square cylindrical inclusion. Next, the stress field is compared to that at the interface between the matrix and the single inclusion in unbounded isotropic matrix with single isotropic cylindrical or square cylindrical inclusion. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of inclusions. Through the analysis of plane elastostatic problems, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing inclusions considering composite fiber volume fraction.

• 대한기계학회논문집A
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• 제32권12호
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• pp.1072-1087
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• 2008

A mixed volume and boundary integral equation method (Mixed VIEM-BIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to the traction-free boundary. A detailed analysis of stress field at the interface between the isotropic matrix and the isotropic or orthotropic inclusion is carried out for different values of the distance between the center of the inclusion and the traction-free surface boundary in an isotropic elastic half-plane containing three different geometries of an isotropic or orthotropic inclusion and a void. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2005년도 추계학술발표대회 논문집
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• pp.95-98
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• 2005

This paper proposes the solutions predicting the coefficient of the thermal expansion changes of composites which include the fiber-like shaped ($a_1$ > ($a_2$ = ($a_3$) and the disk-like shaped (al = a2> a3) inclusions like two dimensional geometries, which has one aspect ratios, ${\alpha}$ = ($a_1$ /($a_3$). The analysis follows the procedure developed for elastic moduli by using the generalized approach of Eshelby’s equivalent tensor. The influences of the aspect ratios, on the effective coefficient of thermal expansion of composites containing aligned isotropic inclusions are examined. This model should be limited to analyze the composites with unidirectionally aligned inclusions and with complete binding to each other of both matrix and inclusions having homogeneous properties. The coefficient of thermal expansion of composites (${\theta}_{11}$,${\theta}_{22}$and ${\theta}_{33}$) are investigated. From material data of the composites with glass fiber in epoxy resin, the thermal expansions along the aspect ratio were obtained and similar to the Chow model. The longitudinal coefficients of thermal expansion ${\theta}_{11}$decrease, as the aspect ratios increase. However, the transverse coefficients of thermal expansion ${\theta}_{22}$increase or decrease, as the aspect ratios increase. And both of them decrease, as the concentration increases.

• Composites Research
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• 제23권4호
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• pp.7-13
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• 2010

체적 적분방정식법(Volume Integral Equation Method)이라는 새로운 수치해석 방법을 이용하여, 서로 상호작용을 하는 이방성 함유체를 포함하는 등방성 무한고체가 정적 인장하중을 받을 때 무한고체 내부에 발생하는 응력분포 해석을 매우 효과적으로 수행하였다. 즉, 등방성 기지에 다수의 이방성 함유체가 1) 정사각형 배열 형태 또는 2) 정육각형 배열 형태로 포함되어 있는 경우에 대하여, 다양한 함유체의 체적비에 대하여, 중앙에 위치한 이방성 함유체와 등방성 기지의 경계면에서의 인장응력 분포의 변화를 구체적으로 조사하였다. 또한, 단일의 이방성 함유체에 대한 체적 적분방정식법을 이용한 해와 해석해를 비교해 봄으로서, 체적 적분방정식법을 이용하여 구한 해의 정확도를 검증하였다.

• Smart Structures and Systems
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• 제17권1호
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• pp.17-29
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• 2016

Ultrasonic tomography is a powerful tool for identifying defects within an object or structure. But practical application of ultrasonic tomography to solids is often limited by time consuming transducer coupling. Air-coupled ultrasonic measurements may eliminate the coupling problem and allow for more rapid data collection and tomographic image construction. This research aims to integrate recent developments in air-coupled ultrasonic measurements with current tomography reconstruction routines to improve testing capability. The goal is to identify low velocity inclusions (air-filled voids and notches) within solids using constructed velocity images. Finite element analysis is used to simulate the experiment in order to determine efficient data collection schemes. Comparable air-coupled ultrasonic signals are then collected through homogeneous and isotropic solid (PVC polymer) samples. Volumetric (void) and planar (notch) inclusions within the samples are identified in the constructed velocity tomograms for a variety of transducer configurations. Although there is some distortion of the inclusions, the experimentally obtained tomograms accurately indicate their size and location. Reconstruction error values, defined as misidentification of the inclusion size and position, were in the range of 1.5-1.7%. Part 2 of this paper set will describe the application of this imaging technique to concrete that contains inclusions.

• 한국전산구조공학회논문집
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• 제12권3호
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• pp.465-474
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• 1999

서로 상호작용을 하는 다수의 이방성 함유체 및 균열(crack)을 포함하는 등방성 무한고체가 정적 무한하중을 받을 때 균열선단에서의 응력확대계수의 계산을 효과적으로 수행할 수 있는 수치해석 방법으로 체적 적분방정식법을 적용한다. 본 해석방법의 타당성과 우수성을 입증하기 위하여, 비교적 간단한 형태의 이방성을 나타나는 직교이방성 함유체와 균열이 포함된 무한고체가 무한하중을 받을 때 균열선단에서의 응력확대계수 계산을 수행하고, 상업용 유한요소법 코드인 ANSYS를 이용한 해석결과와 비교 검토하였다.

• 자원환경지질
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• 제27권5호
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• pp.423-440
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• 1994

The Samhwa iron ore deposit, which is of typical magnetite skarn type, is located in the Samhwadong area of Donghae city, Kangwon-do, Korea. Skarn minerals are mainly composed of garnet, clinopyroxene, vesuvianite, wollastonite and small amounts of epidote and quartz. The garnets are isotropic $(Ad_{92.82{\sim}98.37})$ or anisotropic andradite $(Ad_{45.30{\sim}75.85})$ and grossular $(Gr_{86.26{\sim}24.47})$, the clinopyroxenes are ferrosalite and salite, Homogenization temperature of gas rich two phase inclusions in garnet are $368{\sim}593^{\circ}C$, and salnities of polyphase inclusions in garnet have 33.9~68.4 equ. NaCl wt. %. Garnet grain often shows composional variation from its core to rim. In other words, Fe and Al contents in garnet vary inversely, which suggest that the variation depends upon $f_{o2}$ during skarn formation.

• 폴리머
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• 제31권2호
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• pp.160-167
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• 2007

이 논문은 하나의 좌표축과 하나의 종횡비$(\rho_\alpha=a_1/a_3)$를 갖는 2차원적 형태의 섬유 형태$(a_1>a_2=a_3)$ 그리고 디스크 형태$(a_1=a_2>a_3)$의 충전제의 기하학적 형상에 따른 복합체의 열팽창 계수의 변화를 예측하기 위한 모델을 제시한다. 분석은 Eshelby의 equivalent 텐서의 일반적인 접근과 Lee와 Paul의 접근 방식을 이용하여 이미 개발된 탄성 모듈러스의 전개 과정을 따른다. 배열된 등방성 충전제를 포함하는 복합체의 열팽창 계수의 영향이 종횡비에 따라 조사되었다. 이 모델은 복합체를 해석하기 위해서 한쪽 방향으로 배열된 충전제이어야 하며, 균일한 물성의 기지재와 충전제가 완전한 결합을 하고 있다는 가정 하에서 연구된다. 복합체의 열팽창 계수는 배열된 종단방향$(\alpha_{11})$과 횡단방향$(\alpha_{33})$으로 조사되었다. Chow와 Tandon 그리고 Weng이 발표한 에폭시 수지와 유리 섬유의 복합체의 재료특성 데이터로부터 종횡비에 따른 열팽창 값을 얻을 수 있었다. 종횡비가 증가함에 따라 길이 방향의 열팽창 계수 $\alpha_{11}$는 감소하여 충전제의 열팽창 계수에 접근한다. 그러나, 횡단방향의 열팽창 계수 $\alpha_{33}$는 증가 또는 감소하는 경향을 보인다. 충전제의 함량이 증가함에 따라 복합체의 열팽창 계수는 감소하여 충전제의 열팽창 계수에 수렴한다.