• Structural Engineering and Mechanics
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• 제18권5호
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• pp.591-607
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• 2004

The substance of the use of the derived non-linear creep constitutive equations under variable stress levels (see first part of the paper, Kmet 2004) is explained and the strategy of their application is outlined using the results of one-step creep tests of the steel spiral strand rope as an example. In order to investigate the creep strain increments of cables an experimental set-up was originally designed and a series of tests were carried out. Attention is turned to the individual main steps in the production and application procedure, i.e., to the one-step creep tests, definition of loading history, determination of the kernel functions, selection and definition of constitutive equation and to the comparison of the resulting values considering the product and the additive forms of the approximation of the kernel functions. To this purpose, the parametrical study is performed and the results are presented. The constitutive equations of non-linear creep of cable under variable stress history offer a strong tool for the real simulation of stochastic variable load history and prediction of realistic time-dependent response (current deflection and stress configuration) of structures with cable elements. By means of suitable stress combination and its gradual repeating various loads and times effects can be modelled.

• Fibers and Polymers
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• 제7권1호
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• pp.42-50
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• 2006

In this paper, elasto-plastic constitutive equations for highly anisotropic and asymmetric materials are developed and their numerical implementation is presented. Some engineering materials such as fiber reinforced composites show different material behavior in the different material directions (anisotropy) as well as in tension and compression (asymmetry). Although these materials have mostly been analyzed using the anisotropic elastic constitutive equations, the necessity of consideration of plastic properties has been frequently reported in the previous works. In order to include both the anisotropic and asymmetric properties of composite materials, the Drucker-Prager yield criterion is modified by adding anisotropic parameters and initial components of translation. The implementation procedure for the developed theory and algorithms is presented based on the implicit finite element scheme. The measured data from the previous work are used to validate the present constitutive equations.

• Geomechanics and Engineering
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• 제5권3호
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• pp.241-261
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• 2013

The bearing mechanism of pile during installation and loading process which controls the deformation and distribution of strain and stress in the soil surrounding pile tip is complex and full of much uncertainty. It is pointed out that particle crushing occurs in significant stress concentrated region such as the area surrounding pile tip. The solution to this problem requires the understanding and modeling of the mechanical behavior of granular soil under high pressures. This study aims to investigate the sand behavior around pile tip considering the characteristics of sand crushing. The numerical analysis of model pile loading test under different surcharge pressure with constitutive model for sand crushing is presented. This constitutive model is capable of predicting the dilatancy of soil from negative to positive under low confining pressure and only negative dilatancy under high confining pressure. The predicted relationships between the normalized bearing stress and normalized displacement are agreeable with the experimental results during the entire loading process. It is estimated from numerical results that the vertical stress beneath pile tip is up to 20 MPa which is large enough to cause sand to be crushed. The predicted distribution area of volumetric strain represents that the distributed area shaped wedge for volumetric contraction is beneath pile tip and distributed area for volumetric expansion is near the pile shaft. It is demonstrated that the finite element formulation incorporating a constitutive model for sand with crushing is capable of producing reasonable results for the pile loading problem.

• 대한조선학회논문집
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• 제45권5호
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• pp.538-546
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• 2008

In this paper, the constitutive equation is developed to analyze the characteristics of strain-induced plasticity in the range of low temperature of 316 stainless steel. The practical usefulness of the developed equations is evaluated by the comparison between experimental and numerical results. For 316 stainless steel, constitutive equations, which represent the characteristics of nonlinear material behavior under the cryogenic temperature environment, are developed using the Bodner's plasticity model. In order to predict the material behaviour such as damage accumulation, Bodner-Chan's damage model is implemented to the developed constitutive equations. Based on the developed constitutive equations, 3-D finite element analysis program is developed, and verified using experimental results.

• KCI Concrete Journal
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• 제13권1호
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• pp.19-25
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• 2001

Based on the orthotropic hypoelasticity formulation, a constitutive material model of concrete taking account of triaxial stress state is presented. In this model, the ultimate strength surface of concrete in triaxial stress space is described by the Hsieh's four-parameter surface. On the other hand, the different ultimate strength surface of concrete in strain space is proposed in order to account for increasing ductility in high confinement pressure. Compressive ascending and descending behavior of concrete is considered. Concrete cracking behavior is considered as a smeared crack model, and after cracking, the tensile strain-softening behavior and the shear mechanism of cracked concrete are considered. The proposed constitutive model of concrete is compared with some results obtained from tests under the states of uniaxial, biaxial, and triaxial stresses. In triaxial compressive tests, the peak compressive stress from the predicted results agrees well with the experimental results, and ductility response under high confining pressure matches well the experimental result. The reinforcing bars embedded in concrete are considered as an isoparametric line element which could be easily incorporated into the isoparametric solid element of concrete, and the average stress - average strain relationship of the bar embedded in concrete is considered. From numerical examples for a reinforced concrete simple beam and a structural beam type member, the stress state of concrete in the vicinity of talc critical region is investigated.

• 한국지반공학회논문집
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• 제20권7호
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• pp.79-89
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• 2004

본 연구에서는 탄.소.점성 구성모델을 비교적 간단한 수학적 합성유도방식에 기초하여 제안하였다. 이를 위하여 비등방성 modified Cam-Clay model을 일반응력공간으로 확장시켰으며generalized viscous theory를 단순화하여 각각 소성 및 점성의 구성관계로 활용하였다. Damage 원리를 구성모델에 추가하였으며, 모든 식의 변형 및 개발은 모델정수의 수를 감소시키는 원칙에 입각하여 수행하였다. 개발된 구성모델을 활용하여 점성토의 크리프거동을 예측하였으며 이를 실험결과와 비교분석하였다. 예측된 결과는 크리프파괴의 경우를 포함한 실험결과와 비교적 양호하게 일치하는 결과를 보여주었다.

• 한국지반공학회지:지반
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• 제10권1호
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• pp.7-18
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• 1994

본 연구에서는 단조하중과 반복하중에 대한 점토지반의 거동을 표현할 수 있는 새로운 구성모델을 제안하였다. 제안된 모델은 과압밀상태에서의 응력-변형률 관계를 쌍곡선식으로 가정하고 한계상태이론과 결합시켜 비배수 응력경로를 예측한다. 에너지분산식을 이용하여 개발된 이 구성모델은 단조하중 작용시에 미약한 과압밀상태 및 과다한 과압밀상태의 점성토거동을 표현할 수 있다. 또한 반복하중하에서의 거동을 나타내기 위하여 단조하중에 대하여 개발된 구성모델에 비배수 경로간격비 이동함수를 도입하였다. 이를 위하여 한개의 추가적인 모델계수가 필요하며 그 값은 합리적 방법으로 실험결과로부터 산정될 수 있다. 본 구성모델은 비교적 쉽고 정확하게 반복하중을 받는 점성토지반의 비배수 거동에 대한 실험결과를 예측한다.

• 한국지반공학회논문집
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• 제19권4호
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• pp.277-286
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• 2003

미소변형에서 대변형에 이르는 전변형도 영역의 거동을 모델하기 위하여 비등방 경화규칙과 전응력개념에 의거한 구성관계를 이용하였다. 이러한 구성관계는 ABAQUS 코드에 구현되었으며 대변형해석시 정확도와 수렴속도를 확보하도록 하였다. 이 정식화는 Jaumann 응력속도에 의거한 유한 변형도 소성론, 내재적 응력적분, 일관된 접선계수를 포함한다. ABAQUS를 이용한 대변형해석을 통하여 알고리즘의 정확도 및 수렴도 해석을 할 수 있었다.

• 한국지반공학회논문집
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• 제20권6호
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• pp.75-83
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• 2004

본 논문에서는 사질토의 취성적 응력-변형률 관계와 전단시 체적팽창을 고려할 수 있는 구성모델에 대한 연구를 수행하였다. 제안된 모델은 일반등방경화규칙에 의거한 비등방 경화규칙을 적용하였으며, 항복면의 형태는 응력공간에서 원통형으로 나타나는 단순한 형태로 실용적으로 적용하기 편리하도록 하였다. 또한 유동규칙을 단순화하여 구체적인 팽창률 함수를 이용하여 정의하였다. 또한 가상적인 첨두응력비를 정의하여 취성적 응력-변형률 관계를 모델링하는 것이 가능하였다. 이러한 구성모델은 수학적 정식화를 한 후 실험자료와 비교하도록 프로그램을 구현하였다. 동반논문에서는 삼축실험결과와 비교하여 검증할 것이다.

• 한국재료학회지
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• 제25권2호
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• pp.81-89
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• 2015

A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.