• 제목/요약/키워드: Constitutive Model

검색결과 1,185건 처리시간 0.034초

SPH를 이용한 봉충돌 해석에서 구성방정식의 특성 (Characteristics of Constitutive Equations under Rod Impact Analysis by Smoothed Particle Hydrodynamics)

  • 김용환;김용석;이정민
    • 한국군사과학기술학회지
    • /
    • 제6권3호
    • /
    • pp.62-73
    • /
    • 2003
  • The characteristics of constitutive equations, for hydrocodes, were Investigated by the comparison between the smoothed particle hydrodynamcis simulation and the experiment of rod impact test which resulted in a deformation history of impacting front where high strain and high strain rate dominate. The constitutive equations used in the simulation Is J-C(Johnson-Cook) model, Z-A(Zerilli-Armstrong) model, and S-C-G(Steinberg-Cochran-Guinan) model. The modification of Z-A model, based on the increased effect of strain-rate hardening, showed better correlation with expriment.

Simulation of superelastic SMA helical springs

  • Mehrabi, Reza;Ravari, Mohammad Reza Karamooz
    • Smart Structures and Systems
    • /
    • 제16권1호
    • /
    • pp.183-194
    • /
    • 2015
  • Shape memory alloy (SMA) helical springs have found a large number of different applications in industries including biomedical devices and actuators. According to the application of SMA springs in different actuators, they are usually under tension and torsion loadings. The ability of SMAs in recovering inelastic strains is due to martensitic phase transformation between austenite and martensite phases. Stress or temperature induced martensite transformation induced of SMAs is a remarkable property which makes SMA springs more superior in comparison with traditional springs. The present paper deals with the simulation of SMA helical spring at room temperature. Three-dimensional phenomenological constitutive model is used to describe superelastic behavior of helical spring. This constitutive model is implemented as a user subroutine through ABAQUS STANDARD (UMAT), and the process of the implementation is presented. Numerical results show that the developed constitutive model provides an appropriate approach to captures the general behavior of SMA helical springs.

축방향 경계 조건을 고려한 두꺼운 실린더의 점소성 응력해 (Viscoplastic Solution of Thick Walled Cylinder Considering Axial Constraint)

  • 윤삼손;이순복
    • 대한기계학회논문집A
    • /
    • 제27권9호
    • /
    • pp.1555-1561
    • /
    • 2003
  • Finite element analysis using modern constitutive equation is one of the most general tools to simulate the deformation behavior and to predict the life of the structure. Constitutive equation becomes complicated so as to predict the material behavior more accurately than the classical models. Because of the complexity of constitutive model, numerical treatment becomes so difficult that the calculation should be verified carefully. One-element tests, simple tension or simple shear, are usually used to verify the accuracy of finite element analysis using complicated constitutive model. Since this test is mainly focused on the time integration scheme, it is also necessary to verify the equilibrium iteration using material stiffness matrix and to compare FE results with solution of structures. In this investigation, viscoplastic solution of thick walled cylinder was derived considering axial constraints and was compared with the finite element analysis. All the numerical solutions showed a good coincidence with FE results. This numerical solution can be used as a verification tool for newly developed FE code with complicated constitutive model.

Constitutive Modeling of Confined Concrete under Concentric Loading

  • Lee, Cha-Don;Park, Ki-Bong;Cha, Jun-Sil
    • KCI Concrete Journal
    • /
    • 제13권1호
    • /
    • pp.69-78
    • /
    • 2001
  • The inelastic behavior of a reinforced concrete columns is influenced by a number of factors : 1) level of axial load, 2) tie spacing, 3) volumetric ratio of lateral steel, 4) concrete strength, 5) distribution of longitudinal steel, 6) strength of lateral steel, 7) cover thickness, 8) configuration of lateral steel, 9) strain gradient, 10) strain rate, 11) the effectively confined concrete core area, and 12) amount of longitudinal steel. A new constitutive model of a confined concrete is suggested in order to investigate the nonlinear behavior of the reinforced concrete columns under concentric loading. The developed constitutive model for the confined concrete takes into account the effects of effectively confined area as well as the horizontal and longitudinal distributions of the confining pressures. None of the existing models incorporated these two main effects at the same time. A total of different six constitutive models for the behavior of the confined concrete under concentric compression were compared with the sixty-one test results reported by different researchers. The superiority of the developed model in its accuracy is demonstrated by evaluating the error function, which compares the weighted averages for the sum of squared relative differences in peak compressive strength and corresponding strain, stress at strain equal to 0.015, and total area under stress-strain curve up to strain equal to 0.015.

  • PDF

점성토에 있어서의 크리프 거동 예측 (Prediction of Creep Behavior for Cohesive Soils)

  • 김대규
    • 한국지반공학회논문집
    • /
    • 제20권7호
    • /
    • pp.79-89
    • /
    • 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.

사질토의 체적팽창을 고려한 비등방경화 구성모델 : I. 정식화 (An Anisotropic Hardening Constitutive Model for Dilatancy of Cohesionless Soils : I. Formulation)

  • 오세붕;박현일;권오균
    • 한국지반공학회논문집
    • /
    • 제20권6호
    • /
    • pp.75-83
    • /
    • 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.

변형률속도-의존 구성모델의 현장 시험 적용 (Application of Field test to the Rate-dependent relation in Constitutive model)

  • 송용선
    • 한국산학기술학회논문지
    • /
    • 제9권2호
    • /
    • pp.470-474
    • /
    • 2008
  • 본 연구에서는 실제 현장에서 수행한 피에조콘관입 및 소산시험결과와 변형률 속도를 고려한 구성모델의 이론적 해석을 비교하였다. 이를 위하여 변형률 속도 의존적 구성모델의 수학적 유도과정을 전개하였다. 해석 결과 변형률속도를 무시한 구성모델보다 변형률속도-의존 구성모델을 활용한 지반의 거동 해석이 비의존적 구성모델인 경우의 해석 보다 현장의 시험결과와 잘 일치하므로 변형률속도-의존 구성모델의 적용이 바람직하다.

불포화토의 거동예측을 위한 구성식 개발(II) -구성식의 개발 및 적용- (Development of Constitutive Model for the Prediction of Behaviour of Unsaturated Soil( II) - Development and application of constitutive model -)

  • 송창섭;장병욱
    • 한국농공학회지
    • /
    • 제37권1호
    • /
    • pp.81-89
    • /
    • 1995
  • The aim of the work described in this paper is to develope a constitutive model for the prediction of an unsaturated Soil and to confirm the application of the model, which is composed of the elastic and plastic part in consideration of the matric suction and the net mean stress. From test results, volume changes and deviator stresses are analyzed at each state and their relationships are formulated. And the application of the model to silty sands is con- firmed by the comparison between test and predicted results. During drying-wetting and loading-unloading processes for isotropic states, the agreement between predicted and test results are satisfactory. And predicted deviator stresses are well agreed with test results in shearing process. Overall acceptable predictions are reproduced in high confining pressure. Usefulness of the model is confirmed for the unsat- urated soil except volumetric strain, which is not well agreed with the test results due to deficiency of dilatancy of the model in low confining pressure. It is, therefore, recom- mended to study the behavior of dilatancy for an unsaturated soil.

  • PDF

Loading rate effect on superelastic SMA-based seismic response modification devices

  • Zhu, Songye;Zhang, Yunfeng
    • Earthquakes and Structures
    • /
    • 제4권6호
    • /
    • pp.607-627
    • /
    • 2013
  • The application of shape memory alloys (SMAs) to the seismic response reduction of civil engineering structures has attracted growing interest due to their self-centering feature and excellent fatigue performance. The loading rate dependence of SMAs raises a concern in the seismic analysis of SMA-based devices. However, the implementation of micromechanics-based strain-rate-dependent constitutive models in structural analysis software is rather complicated and computationally demanding. This paper investigates the feasibility of replacing complex rate-dependent models with rate-independent constitutive models for superelastic SMA elements in seismic time-history analysis. Three uniaxial constitutive models for superelastic SMAs, including one rate-dependent thermomechanical model and two rate-independent phenomenological models, are considered in this comparative study. The pros and cons of the three nonlinear constitutive models are also discussed. A parametric study of single-degree-of-freedom systems with different initial periods and strength reduction factors is conducted to examine the effect of the three constitutive models on seismic simulations. Additionally, nonlinear time-history analyses of a three-story prototype steel frame building with special SMA-based damping braces are performed. Two suites of seismic records that correspond to frequent and design basis earthquakes are used as base excitations in the seismic analyses of steel-braced frames. The results of this study show that the rate-independent constitutive models, with their parameters properly tuned to dynamic test data, are able to predict the seismic responses of structures with SMA-based seismic response modification devices.