• Advances in materials Research
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• 제12권1호
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• pp.15-29
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• 2023

In this paper, fracture analysis of a continuously inhomogeneous arch structure with two longitudinal cracks is developed in terms of the time-dependent strain energy release rate. The arch under consideration exhibits non-linear creep behavior. The cross-section of the arch is a rectangle. The material is continuously inhomogeneous along the thickness of the cross-section. The arch is loaded by two bending moments applied at its end sections. The mechanical behavior of the material is described by using a non-linear stress-strain-time relationship. The two longitudinal cracks are located symmetrically with respect to the mid-span of the arch. Due to the symmetry, only half of the arch is considered. Time-dependent solutions to strain energy release rate are obtained by analyzing the balance of the energy. For verification, time-dependent solutions to the strain energy release rate are derived also by considering the time-dependent complementary strain energy. The evolution of the strain energy release rate with the time is analyzed. The effects of material inhomogeneity, locations of the two cracks along the thickness of the arch and the magnitude of the external loading on the time-dependent strain energy release rate are evaluated.

• Coupled systems mechanics
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• 제11권3호
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• pp.217-231
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• 2022

The present paper is concerned with a delamination analysis of a multilayered frame structure that exhibits non-linear creep behavior. A solution to the strain energy release rate is obtained by considering the time-dependent complementary strain energy in the frame. The mechanical behavior of the frame is treated by using a non-linear stress-strain-time relationship. The time-dependent solution to the strain energy release rate obtained in the present paper holds for a multilayered frame made of arbitrary number of adhesively bonded layers of different thicknesses and material properties. Besides, the dealamination is located arbitrary along the thickness. The solution to the strain energy release rate is verifiedby applying the J-integral approach. A parametric study of the strain energy release rate is carried-out. Two three-layered frame configurations are analyzed in order to evaluate the influence of the delamination crack location along the thickness on the strain energy release rate. The strain energy release is analyzed also for the case when a notch is cut-out in the inner delamination crack arm. The results obtained are compared with these for a frame without a notch.

• 한국항공우주학회지
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• 제39권4호
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• pp.321-331
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• 2011

본 연구는 theta 투영법을 이용하여 터보제트 터빈 블레이드 크리프 특성을 파악하는데 목적이 있다. Theta 투영법은 우수한 정확성을 지니고 있어 폭넓게 사용되고 있다. 크리프 특성을 파악하기 위해 고온 크리프 시험을 수행하였으며, 시험 조건은 터보제트 엔진 운용조건과 소재의 비선형 특성을 고려하여 선정하였으며, four theta 모델의 적합성을 평가하기 위해 크리프 시험 결과와 비교하였다. 크리프 시험결과를 활용하여 크리프 곡선은 four theta model을 이용하여 생성하였다. 반복적인 계산을 통하여 비선형 최소자승법을 이용하여 시험 결과에 대해 최적의 theta 값을 도출하였다. Theta 투영법을 이용하여 크리프 곡선을 생성한 결과 $R^2$값이 0.95이상의 우수한 정확성을 지니는 것을 확인하였다. 또한 four theta 모델의 검정을 위해 수행한 시험 결과와 비교하여 예측된 theta 값이 90.0%의 정확도를 가지어, theta 투영법은 크리프 거동을 예측하여 설계목적에 이용하기 위해 유용하게 사용될 수 있다.

• 대한토목학회논문집
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• 제1권1호
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• pp.53-68
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• 1981

지속하중하(持續荷重下)의 점토지반(粘土地盤) 또는 사면(斜面)을 형성(形成)하고 있는 점토(粘土)는 시간의존변형(時間依存變形)을 일으키고 어떤 경우 파괴(破壞)에 이르기도 하는데 그 원인(原因)은 점토(粘土)의 Creep 거동(擧動) 때문이라는 보고(報告)가 대부분(大部分)이다. Creep 거동(擧動)은 많은 요소(要素)에 관련될 뿐 아니라 특(特)히 함수비(含水比) 및 응력수준(應力水準)에 큰 영향(影響)을 받기 때문에 매우 복잡(複雜)하며 따라서 그 거동(擧動)을 해석(解析) 하기도 어려운 일인데 Creep이 궁극적(窮極的)으로는 점토(粘土) 입자간(粒子間)의 미시적(微視的)인 거동(擧動)에서 비롯되기 때문이다. 응력(應力)-변형(變形)-시간(時間) 관계(關係)로서의 Creep 거동(擧動)을 수학적(數學的)으로 표현(表現)하기 위하여 여러 형태(形態)의 유변학적(流變學的) 모델이 제안(提案) 되었다. 유변학적(流變學的) 모델은 선형(線形) 스프링, 비선형(非線形) Dashpot 및 Slider를 조합(組合)한 것인데 점토(粘土)의 변형(變形)에 관한 탄성적(彈性的), 소성적(塑性的) 및 점성적(粘性的) 성분(成分)을 구분(區分) 하는데 매우 유용(有用)하다. 그러나 대부분(大部分)의 경우, 유변학적(流變學的)모델은 포화(飽和)된 점토(粘土)에 대(對)하여 주(主)로 2차압밀(次壓密) 거동(擧動)을 밝히기 위하여 제안(提案)된 것으로 비포화점토(非飽和粘土)에 대(對)한 보고(報告)는 매우 드문 것 같다. 한편, Creep 거동(擧動)은 시간의존변형(時間依存變形)이므로 흐트러진 점토(粘土)를 다져서 시험(試驗)하는 경우, 시간경과(時間經過)에 따라 Thixotropy 문제(問題)가 제기(提起)될 것이고 배수조건(排水條件)과 관련하여서는 공시체(供試體)의 높이가 문제(問題)될 수 있다. 그뿐 아니라 많은 연구결과(硏究結果)에 의(依)하면 응력증가초기(應力增加初期)에는 시간지체(時間遲滯)가 없는 초기탄성변형(初期彈性變形)이 발생(發生)된다고 하므로 유변학적(流變學的) 모델에는 이를 나타내는 요소(要素)가 반드시 필요(必要)하게 될 것이다. 본(本) 연구(硏究)는 이러한 면(面)에 초점(焦點)을 두고 함수비(含水比)와 응력수준(應力水準)을 여러 가지로 변화(變化)시켰을 때의 Creep 거동(擧動)을 유변학적(流變學的) 모델로 해석(解析)함에 있어 소성(塑性)이 비교적(比較的) 큰 3종(種)의 점토(粘土)를 사용(使用)하여 초기탄성변형(初期彈性變形) 거동(擧動)을 밝히고 Thixotropy 효과(効果) 및 공시체(供試體)의 높이가 Creep 거동(擧動)에 끼치는 영향(影響)을 구명(究明)하며 아울러 유변학적(流變學的) 모델의 어떤 요소(要素)에 관련 되는가를 알아내기 위하여 다져서 성형(成形)한 공시체(供試體)로서 일축배수형식(一軸排水形式)의 Creep 거동(擧動)을 시행(施行)하였다. 실험결과(實驗結果) 및 검토(檢討)에 의(依)하면 응력재하(應力載荷) 및 증가초기(增加初期)에는 시간지체(時間遲滯)가 없는 탄성적(彈性的) 초기변형(初期變形)이 발생(發生)하고 따라서 유변학적(流變學的) 모델에는 이를 나타내기 위한 상부(上部)스프링을 설치(設置)해야 하며 Thixotropy 효과(効果)를 고려(考慮)한 경우, Creep변형(變形)은 완만(緩慢)하게 되나 함수비(含水比) 및 응력수준(應力水準)에 따른 상태거동(狀態擧動)은 같으므로 그 차이(差異)는 모델 상수(常數)의 크기에만 관련됨을 알아내었고 따라서 동일(同一)한 유변학적(流變學的) 모델로 그 거동(擧動)을 나타낼 수 있다는 사실(事實)을 밝혀 냈다. 또 공시체(供試體) 높이를 작게 한 경우에는 함수비(含水比)가 비교적(比較的) 작아서 점(粘)-소(塑)-탄성(彈性) 및 점(粘)-탄성(彈性)일 때만 높이가 클 때와 같은 상태거동(狀態擧動)을 나타내어 동일(同一)한 유변학적(流變學的) 모델로 나타낼 수 있고 함수비(含水比)가 큰 점일소성(粘一塑性) 및 점성류(粘性流)일 때는 그 상태거동(狀態擧動)이 배수문제(排水問題)와 관련하여 달라지게 되고 따라서 유변학적(流變學的) 모델도 달라지게 된다는 사실(事實)을 발견(發見) 하였다.

• Smart Structures and Systems
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• 제1권4호
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• pp.369-384
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• 2005

The main objectives of this paper are to demonstrate the feasibility of using newly developed smart GFRP reinforcements to effectively monitor reinforced concrete beams subjected to flexural and creep loads, and to develop non-linear numerical models to predict the behavior of these beams. The smart glass fiber-reinforced polymer (GFRP) rebars are fabricated using a modified pultrusion process, which allows the simultaneous embeddement of Fabry-Perot fiber-optic sensors within them. Two beams are subjected to static and repeated loads (until failure), and a third one is under long-term investigation for assessment of its creep behavior. The accuracy and reliability of the strain readings from the embedded sensors are verified by comparison with corresponding readings from surface attached electrical strain gages. Nonlinear finite element modeling of the smart concrete beams is subsequently performed. These models are shown to be effective in predicting various parameters of interest such as crack patterns, failure loads, strains and stresses. The strain values computed by these numerical models agree well with corresponding readings from the embedded fiber-optic sensors.

• 대한기계학회논문집
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• 제18권3호
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• pp.548-554
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• 1994

The high temperature fatigue crack growth behavior of SUS 304 stainless steel at $550^{\circ}C$ and $650^{\circ}C$ was investigated under various kinds of stress ratio and frequency in sinusoidal waveform on the basis of the non-linear fracture mechanics. The result arranging crack growth rate by modified J-integral J' showed influence of stress ratio and frequency. All the data obtained under the test at $550^{\circ}C$ were plotted within data band of da/dN-${\triangle}J_f$ relationship for cycle-dependent crack growth. On the basis of static creep and cycle-dependent data band; both time- and cycle-dependent crack growth behavior was observed under loading conditions at $650^{\circ}C$, but cycle-dependent crack growth behavior predominantly appeared and time-dependent crack growth behaviour was little observed under loading conditions at $550^{\circ}C$. Fractographic examinations for fracture surface indicated that the fracture mode was generally transgranular. The stripes were found on fracture surface and each stripe was accompanied by a crack tip blunting and an abrupt increase in the load-point displacement. The $J'_{an}$ had a validity in case of $650^{\circ}C, but scarcely had it in case of $550^{\circ}C$.

• Macromolecular Research
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• 제17권12호
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• pp.943-949
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• 2009

A highly dispersed W/O emulsion of silicone oil (cyclomethicone)/water system was prepared with a nonionic surfactant. The surface and interfacial tension between the oil and water were characterized in terms of the droplet size distribution and viscosity change of the emulsion. When the dispersed phase concentration was relatively high, the viscosity of the emulsion was rapidly increased and the droplet size of the emulsion was decreased. The rheological behavior of the emulsion system showed non-Newtonian and shear thinning phenomena depending upon the content of the dispersed phase. The droplet size of the emulsion was decreased with increasing surfactant content and water concentration. The relative viscosity of the emulsion was better predicted with the Choi-Schowalter model than with the Taylor model. The value of the complex modulus increased with increasing surfactant concentration. The linear viscoelastic region was expanded with a dispersed phase concentration. According to the change in the viscosity, the behavior was classified into three distinct regions: [I] linear viscoelastic, [II] partially viscoelastic, and [III] viscous. The creep/recovery behaviors in each region were characterized.

• 대한기계학회논문집A
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• 제24권5호
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• pp.1075-1083
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• 2000

The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method. The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

• 대한기계학회논문집A
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• 제27권9호
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• pp.1562-1570
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• 2003

The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. The radial return mapping is one of the most robust integration scheme currently used. Nonlinear kinematic hardening model of Armstrong-Fredrick type has recovery term and the direction of kinematic hardening increment is not parallel to that of plastic strain increment. In this case, The conventional radial return mapping method cannot be applied directly. In this investigation, we expanded the radial return mapping method to consider the nonlinear kinematic hardening model and implemented this integration scheme into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using Newton method and bisection method. Using dynamic yield condition derived from linearization of flow rule, the integration scheme for elastoplastic and viscoplastic constitutive model was unified. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

• Nuclear Engineering and Technology
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• 제20권2호
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• pp.88-104
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• 1988

이차원의 유한요소법을 이용하여 axisymmetric R-$\theta$system으로 나누어서 정상과 부하추종 운전시에 핵연료 페렛트와 피복관의 열역학적 거동을 분석하기 위해서 FURA전산코드를 개발하였다. 온도분포와 내부압력을 정확히 계산하기 위해서 페렛트와 피복관의 변형과 핵분열의 기체방출을 전체 핵연료봉 길이로 고려하였다. 열역학적 평 형방정식을 얻기 위해서 Galerkin's Technique과 가상일의 원리를 사용하였고 역학적 해석을 위해서 탄성-소성, 크리프뿐만아니라 스엘링, 재배열, 고밀화 현상등을 고려하였다. 기하학적 모델에서는 4-결점 요소라 페레트 길이의 1/2만을 택하였다. 비선형식을 안정하게 해석하기 위해서 음해법을 도입하여 뉴튼-랩손 반복법을 적용하였다 이 코드의 검증은 해석해와 실험데이타로 비교하였다. 핵연료봉의 일반적인 거동은 axisymmetry system으로 계산하였고 균열된 페레트에 접촉하는 피복관의 거동은 R-$\theta$system을 사용하였다. 부하추종에 의한 피복관의 변형시효의 민감도는 출력율, 진동수, 진폭등으로 비교하였다.