서지주요정보
3차원 탄성 경계 적분 방정식의 정규화에 관한 연구 = A study on regularization of boundary integral equations for three dimensional elasticity problems
서명 / 저자 3차원 탄성 경계 적분 방정식의 정규화에 관한 연구 = A study on regularization of boundary integral equations for three dimensional elasticity problems / 김선원.
저자명 김선원 ; Kim, Sun-Won
발행사항 [대전 : 한국과학기술원, 1999].
Online Access 원문보기 원문인쇄

소장정보

등록번호

8009495

소장위치/청구기호

학술문화관(문화관) 보존서고

MME 99012

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초록정보

This paper presents the derivation of non-singular boundary integral equations (BIEs) of displacements in three dimensional elasticity problems. In contrast to the strongly singular and weakly singular integral representations, the numerical computation of the nearly singular integrals is eliminated because all the integrands are made finite in this formulation even if the internal point approaches the boundary. So more accurate and continuous solutions can be obtained by using the standard Gaussian quadrature not only in the domain but also near the boundary. This paper presents the derivation of weak singular boundary integral equations of stresses in three dimensional elasticity problems. This presentation is very simple and general obtaining a field solution not only near a smooth surface but also near a sharp corner or an edge. Three test problems are analyzed in which we present a comparison of the accuracy achieved by the numerical computations based on the use of weakly singular and non-singular integral representations of displacements and one of strongly singular and weakly singular integral representations of stresses. In addition, stresses on the boundary can be evaluated by interpolation and numerical differentiation.

서지기타정보

서지기타정보
청구기호 {MME 99012
형태사항 ix, 69 p. : 삽도 ; 26 cm.
언어 한국어
일반주기 부록 : A, Somigliana항등식. - B, 선형 변휘장
저자명의 영문표기 : Sun-Won Kim
지도교수의 한글표기 : 이병채
공동교수의 한글표기 : 허훈
지도교수의 영문표기 : Byung-Chai Lee
공동교수의 영문표기 : Hoon Huh
학위논문 학위논문(석사) - 한국과학기술원 : 기계공학과,
서지주기 참고문헌 : p. 26-29
주제 경계 적분 방정식
정규화
3차원
Boundary integral equation
Regularization
Three dimensional
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