• Journal of the Korean Society for Precision Engineering
• /
• v.15 no.7
• /
• pp.91-97
• /
• 1998

The analysis model is the infinite body consisted of power law creep material containing a rigid inclusion with line crack shape subjected to the arbitrarily directional stress on an infinite boundary. The crack analysis is performed using the complex pseudo-stress function. The strain rate intensity factor is determined in the closed form as new fracture mechanics parmeter which represents the magnitudes of stress and strain rate near the tip in power law creep material.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.16 no.6
• /
• pp.1216-1220
• /
• 1992

In case that a general cusp-crack shaped inclusion expressed in a polynominal form of conformal mapping function exists in a two dimensional elastic body under uniform heat flow, the complex potential and thermal stress intensity factors are derived. Two thermal boundary conditions are considered, one an insulated rigid inclusion and the other a rigid inclusion with fixed boundary temperature. The previous solutions of the thermal stress intensity factors for symmetrical airfoil and lip type rigid inclusions are obtained from the general solution of the thermal stress intensity factors.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.16 no.7
• /
• pp.1255-1265
• /
• 1992

Under uniform heat flow, the thermal stress intensity factors for the interfacial crack on a rigid cusp-type inclusion are determined by Hilbert problem expressed with complex variable. The thermal stress intensity factors are expressed in terms of the periodic function of heat flow angle. When the tip of the interfacial crack meets that of the cusp crack, the thermal stress intensity factors have singularities. The thermal stress intensity factors at the interfacial crack tip located in the distance from the cusp crack tip vary with the location of the interfacial crack tip. From the results of the analysis, the complex potential functions and the thermal stress intensity factors for the cusp-type inclusion without the interfacial crack are derived under the cusp surface boundary conditions insulated or fixed to zero relative temperature.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.12 no.3
• /
• pp.497-504
• /
• 1988

The steady state thermal stress intensity factors (TSIF's) are analyzed for hypocycloid, symmetric airfoil and symmetric lip type rigid inclusions embedded in infinite elastic solids, using Boganoff's complex variable approach in plane thermoplasticity. Two thermal conditions are considered, one with an uniform heat flow disturbed by an insulated rigid inclusion of cusp crack shape and the other with an uniform heat flow disturbed by a rigid inclusion of cusp crack shape with fixed boundary temperature. The tendencies of TSIF's for rigid inclusions of cusp crack shape are somewhat different from those of traction free cusp cracks. However, if k=-1, the non-dimensionalized TSIF's for rigid inclusions of cusp crack shape become those of traction free cusp cracks like the tendencies of the SIF's under mechanical loading conditions. The thermal stress and displacement components for a rigid circular inclusion of radius Ro are drived from the results of a hypocycloid crack type rigid inclusion.

• Computational Structural Engineering
• /
• v.7 no.2
• /
• pp.111-120
• /
• 1994

Cracks in rubber bonded to a rigid material such as steel are analyzed with the aid of a mixed finite element technique. Firstly the weak form is derived for finite element analysis of an incompressible material, and the Mooney-Rivlin form is assumed for the constitutive modeling of rubber. The numerical results from finite element analysis is examined to confirm the accuracy and convergence of solution by way of comparison to other numerical results. The interpretation of the J-integral for large elastic deformation as the energy release rate is confirmed, and the J-integral is calculated for varing crack length. The crack growth stability is discussed using the result of finite element analysis.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.16 no.11
• /
• pp.1999-2010
• /
• 1992

The fixed slab analogy device which can measure stress intensity factors(S.I.F) experimentally by slab analogy theory is developed in this paper. The margin of errors resulted from the new testing apparatus are between 0.02% and 8.25%. Therefore, it is assured that this one can be effectively used for the more accurate measurement of S.I.F.( $k_{I}$, $k_{I I}$) than conventional apparatus. The pitch of master grating used in this experiment is 0.1mm It is known that the ratio of the distance from crack tip to the crack length on obtaining the accurate stress intensity factor is between 0.4 and 0.7. The optimum curvature radius of slab is about 125mm. The thickness of slab(plate) used in the fixed slab analogy device is 0.05mm(P.V.C. ; E = 64 MN/ $m^{2}$, .nu.=0.38), which is proved to be suitable for the test. The optimum material for the frame(slab`s external boundary) is a alloy tool steel(SKS 5) plate and its thickness is 1mm. In this research, the rigid cracks are directly bonded to the slab surface by cyanoacrylate adhesive for the easiness of slab making and conformity to the practical crack figure. The material of rigid crack is thin steel plate. It is expected that the developed method can be used effectively for the analysis of $k_{I}$ and $k_{I I}$ of arbitrary shaped or distributed cracks.cks.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.22 no.3
• /
• pp.680-683
• /
• 1998

In case of the infinite body containing a rigid inclusion with line crack shape, stress intensity factor is determined and the relation between stress intensity factor and stress distribution near a crack tip is developed. Also, the relation between stress intensity factor and Kolosoff stress function is developed. Finally, these results are compared with those that the crack surface is under no traction.

• Journal of the Korean Professional Engineers Association
• /
• v.20 no.3
• /
• pp.5-14
• /
• 1987

연속체의 해석에 있어서, 특별한 경우를 제외하고는, 구조물의 개략적인 거동을 파악해야 될 경우가 종종 있다. 이러한 요구에 부응하기 위해서 강체요소법(Rigid Element Method)이라 불리우는 새로운 해석법이 개발되었다. 강체요소법은 원래 평정연구실에서 벽식프리캐스트 철근콘크리트 구조물의 탄소성해석을 하기 위해서 개발된 해석법에 착안하여, 내수벽과 같은 연속체에 적용함으로서 시작된 수치해석법이다. 그 후 저자들은 도통쉘, 구형쉘 혹은 이들이 조합된 쉘구조물에 적용할 수 있도록 개발 확장하였다. 강체요소법의 기본개념은 연속체의 분해된 각 요소를 강체(rigid body)라고 가정하고, 각 요소들은 요소의 강성으로 치환된 가상스프링으로 서로 연결되어 있다고 가정하여, 이 가상스프링의 거동을 평가함으로서 전체구조물의 거동을 파악하는 해석법이다. 이때 요소의 주변에 취해진 스프링은 해석을 단순화하기 위해서 축력, 면내전단력 및 면외전단력만을 전달한다고 가정하고, 요소의 강체변위(자유도)는 요소내의 임의의 한 점에서 취하며, 이 점에서의 강체변위(rigid displacements)는 요소의 주변에 취해진 스프링을 통하여 다른 요소로 전달된다. 상기와 같은 강체요소법의 개념을 연속체의 탄성 및 탄소성해석에 적용하면, 해석적 개념이 단순할 뿐만 아니라 구조물 전체의 자유도수를 대폭 줄여 컴퓨터 계산시간을 절약할 수 있는 잇점이 있고, 거시적인 모델(macroscopic modeling)과 미시적인 모델 (microscopic modeling)의 중간적인 성격을 가지기 때문에 구조물의 파괴상황에 대해서도 그 개략을 파악할 수 있다. 본 논문에서는 강체요소법을 보다 일반화된 해석법으로 개발, 확장하기 위해서 종전에 단층스프링시스템(single-layer spring system)으로 해석이 어려웠던 문제점들을 보완한 복층프링시스템(double-layer spring system)을 사용함으로서 휨, 비틀림의 효과를 파악할 수 있는 이론적 개념을 적용한 새로운 구요소, 원통요소 및 평면요소를 개발하고, 이러한 강체요소들의 적합매트릭스의 유도 및 해석저긴 방법을 정식화하였다. 또 휨, 비틀림 및 전단력의 효과를 고려한 사각형원통요소 및 능형원 통요소를 이용하여 원통쉘의 탄성 및 탄소성해석할 수 있는 프로그램을 개발하고, 이 프로그램으로 캔틸레버로된 연속형철근콘크리트 원통쉘의 탄성 및 탄소성해석에 적용하여 구조물의 거동에 관한 수치해석의 결과, 즉 내력의 분포, 균열의 진전, 파괴의 상황 및 변형의 상태 등을 파악해 보았다.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.21 no.12
• /
• pp.2165-2171
• /
• 1997

The analysis model is the infinite power law creep material containing the rigid inclusion with crack shape. The present analysis is performed using the complex pseudo-stress function method. The strain rate intensity factor is developed as new fracture mechanics parameter which represents the stress and strain rate distribution near a crack tip in power law creep material. The strain rate intensity factor is developed in terms of Kolosoff stress functions.

• Journal of Korean Society of Steel Construction
• /
• v.23 no.1
• /
• pp.61-72
• /
• 2011

In this study, the structural details of steel girder-abutment joints with shear connectors and tie bars were suggested to improve the rigid behavior and crack-resisting capacity of the joints in integral bridges. Experimental loading tests of steel girder-abutment joint specimens with the proposed and empirically constructed structural details were carried out, and the capacities and behavioral characteristics of the joints were evaluated through loading tests. Based on the results of the loading tests, it was estimated that all types of tested joints can be applied to the steel girder-abutment joints because they have sufficient stiffness and crack-resisting capacity under the required design and yield loads. According to the initial stiffness, crack propagations, and load-strain relationships, however, the joints with shear connectors and tie bars showed better structural behaviors compared to the empirically constructed joint.