• 제목/요약/키워드: Finite viscoelasticity

검색결과 43건 처리시간 0.021초

인두조직의 점 탄성특성의 수학적모델링에 관한 연구 (A Study on the Mathematical Modeling of Human Pharyngeal Tissue Viscoelasticity)

  • 김성민;김남현
    • 대한의용생체공학회:의공학회지
    • /
    • 제19권5호
    • /
    • pp.495-502
    • /
    • 1998
  • Y.C. Fung[1]에 의한 연조직의 점탄성에 관한 수학적 모델이론 (Fung's Quasi-linear vlscoelastic theory)을 이용하여 인간의 인두조직의 점탄성(vlscoelatlcity)특성을 측정하기 위하여 반복성하중(cyclic load) ,응력완화 (tensile stress relaxation), incremental load, 그리고 일축성인장 (uniaxial tensile) 시험 등을 실시하였다. 실험적으로 측정한 인두조직의 점탄성특성이 이미 조사된 다른 조직의 점탄성특성과 정량적으로 비교되었다. 인두조직의 점탄성특성의 정량화를 위하여 Y.C.Fung의 수학적 모델이 적용되었는데 응력완화(tensile stress relaxation) 시험 측정결과로부터 도출된 표준화된 응력완화(reduced stress relaxation)함수 G(t)와 일축성인장(uniaxial tensile)시험에서 도출된 탄성반응(elastic response)함수 5(t)를 이용하여 시간에 따른 응력의 궤적을 산출하여 이를 반복성 하중(cyclic load)실험에서 측정된 결과와 비교, 분석하였다. 이러한 인두조직의 점탄성특성에 관한 연구결과는 향후 유한요소를 이용한 인두의 생체역학적 모델의 기본 데이터로 이용될 수 있다.

  • PDF

시간 의존성 구성방정식을 이용한 AA6022-T4 판재의 탄성 복원 예측 (Time-Dependent Spring-back Prediction of Aluminum Alloy 6022-T4 Sheets Using Time-Dependent Constitutive law)

  • 박래준;류한선;이명규;정경환;;정관수
    • 소성∙가공
    • /
    • 제18권6호
    • /
    • pp.494-499
    • /
    • 2009
  • The time-dependent constitutive law was utilized based on viscoelastic-plasticity to predict the time-dependent spring-back behavior of aluminum alloy 6022-T4 sheets. Besides nonlinear viscoelasticity, non-quadratic anisotropic yield function, Yld2000-2d, was used to account for the anisotropic yield behavior, while the combined isotropic-kinematic hardening law was used to represent the Bauschinger effect and transient hardening. For verification purposes, finite element simulations were performed for the draw-bending and the results were compared with experimental results.

시간 의존성 구성방정식을 이용한 AA6022-T4 판재의 탄성 복원 예측 (Time-Dependent Spring-back Prediction of Aluminum Alloy 6022-T4 Sheets Using Time-Dependent Constitutive law)

  • 박태준;류한선;이명규;정경환;;정관수
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 2009년도 춘계학술대회 논문집
    • /
    • pp.330-333
    • /
    • 2009
  • The time-dependent constitutive law was developed based on viscoelastic-plasticity to describe the time-dependent spring-back behavior of aluminum alloy 6022-T4 sheets. Besides nonlinear viscoelasticity, non-quadratic anisotropic yield function, Yld2000-2d, was used to account for the anisotropic yield behavior, while the combined isotropic-kinematic hardening law was used to represent the Bauschinger effect and transient hardening. For verification purposes, finite element simulations were performed for the draw-bending and the results were compared with experimental results.

  • PDF

A FINITE-VISCOELASTIC CONTINUUM MODEL FOR RUBBER AND ITS FINITE ELEMENT ANALYSIS

  • Kim, Seung-Jo;Kim, Kyeong-Su;Cho, Jin-Yeon
    • Journal of Theoretical and Applied Mechanics
    • /
    • 제1권1호
    • /
    • pp.97-109
    • /
    • 1995
  • In this paper, a finite viscoelastic continuum model for rubber and its finite element analysis are presented. This finite viscoelatic model based on continuum mechanics is an extended model of Johnson and Wuigley's 1-D model. In this extended model, continuum based kinematic measures are rigorously defied and by using this kinematic measures, elastic stage law and flow rule are introduced. In kinematics, three configuration are introduced. In kinematics, three configuration are introduced. They are reference, current and virtual visco configurations. In elastic state law, it is assumed that at a certain time, there exists an elastic potential which describes the recoverable elastic energy. From this elastic potential, elastic state law is derived. The proposed flow rule is based on phenomenological observation. The flow rule gives precise relaxation response. In finite element approximation, mixed Lagrangian description is used, where total and similar method of updated Lagrangian descriptions are used together. This approach reduces the numerical job and gives simple nonlinear syatem of equations. To satisfy the incompressible condition, penalty-type modified Mooney-Rivlin energy function is adopted. By this method nearly incompressible condition is obtain the virtual visco configuration. For verification, uniaxial stretch tests are simulated for various stretch rates. The simulated results show good agreement with experiments. As a practical experiments. As a preactical example, pressurized rubber plate is simulated. The result shows finite viscoelastic effects clearly.

두께가 급격히 변하는 영역에서 고분자 유동에 의한 복굴절 (Flow-Induced Birefringence of Polymers in the Region of Abrupt Thickness Transition)

  • 이호상
    • 소성∙가공
    • /
    • 제18권1호
    • /
    • pp.20-25
    • /
    • 2009
  • A finite element analysis was carried out for a 4:1 planar contraction die for polymer melts using the viscoelastic constitutive equation of Leonov. Viscoelastic fluids showed significant differences in pressure drop and birefringence in contraction and expansion flows. The pressure drop was higher and the birefringence smaller in expansion than in contraction flow. The difference increased with increasing flow rate. The nonlinear Leonov model was shown to describe the viscoelastic effects observed in experiments.

나노임프린트 공정에서의 충전과정과 잔류층 형성에 관한 연구 (A Study on the Filling Process and Residual Layer Formation in Nanoimprint Lithography Process)

  • 이기연;김국원
    • 한국산학기술학회논문지
    • /
    • 제13권9호
    • /
    • pp.3835-3840
    • /
    • 2012
  • 최근 나노임프린트 리소그래피 공정이 마이크로/나노 스케일의 소자 개발에 있어서 경제적으로 대량 생산할 수 있는 기술로 주목 받고 있다. 나노임프린트 공정에 대해서, 최근까지 수많은 연구가 이루어지고 있으나, 대부분 R&D 수준의 재료 및 제조와 관련된 실험적 결과 혹은 공정이해 수준의 수치해석적 연구에 그치고 있다. 본 연구에서는 유한요소법을 이용한 점탄성 해석모델을 완성하여 나노임프린트 공정의 충전과정 및 잔류층 형성을 해석하고, 패턴 전사 실험을 통하여 해석의 정확성을 검증하였다.

충격하중을 받는 점탄성 균열의 응력확대계수 계산 (Numerical Computation of the Stress Itensity Factor of A Cracked Viscoelastic Body Under the Impact Load)

  • 이성희;심우진
    • 대한기계학회논문집A
    • /
    • 제28권10호
    • /
    • pp.1583-1589
    • /
    • 2004
  • In this paper, A new finite element method for the time domain analysis of the dynamic stress intensity factor of two-dimensional viscoelastic body with a stationary central crack under the transient dynamic load is presented, which is based on the intergrodifferential equations of motion in the isotropic linear viscoelasticity and the Galerkin's method. The vlscoelastic material is assumed to be elastic in dilatation and behaves like a standard linear solid in shear. As a numerical example, the Chen's problem in viscoelastodynamic version is solved for the parametric study about the effect of viscosity and relaxation time on the dynamic stress intensity factor.

미세접촉인쇄기법의 설계와 다중스케일해석 (Design and Multi-scale Analysis of Micro Contact Printing)

  • 김정엽;김재현;최병익
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 추계학술대회
    • /
    • pp.1927-1931
    • /
    • 2003
  • Nanometer-sized structures are being applied to many fields including micro/nano electronics, optoelectronics, quantum computing, biosensors, etc. Micro contact printing is one of the most promising methods for manufacturing the nanometer-sized structures. The crucial element for the micro contact printing is the nano-resolution printing technique using polymeric stamps. In this study, a multi-scale analysis scheme for simulating the micro contact printing process is proposed and some useful analysis results are presented. Using the slip-link model [1], the dependency of viscoelasticity on molecular weight of polymer stamp is predicted. Deformation behaviors of polymeric stamps are analyzed using finite element method based upon the predicted viscoelastic properties.

  • PDF

미세입자분산 고분자 현탁액의 3차원 직접수치해석 (DIRECT NUMERICAL SIMULATION OF PARTICLE SUSPENSIONS IN A POLYMERIC LIQUID)

  • 황욱렬
    • 한국전산유체공학회지
    • /
    • 제14권4호
    • /
    • pp.101-108
    • /
    • 2009
  • We present a new finite-element scheme for direct numerical simulation of particle suspensions in simple shear flow of a viscoelastic fluid in 3D. The sliding tri-periodic representative cell concept has been combined with DEVSS/DG finite element scheme by introducing constraint equations along the domain boundary. Rigid body motion of the freely suspended particle is described by the rigid-shell description and implemented by Lagrangian multipliers on particle boundaries. We present the bulk rheology of suspensions through the numerical examples of single-, two- and many-particle problems, which represent a large number of such systems in simple shear flow. We report the steady bulk viscosity and the first normal stress coefficient, which show shear-thickening behavior for both properties.

시간적분형 운동방정식에 근거한 동점탄성 문제의 응력해석 (Transient Linear Viscoelastic Stress Analysis Based on the Equations of Motion in Time Integral)

  • 이성희;심우진
    • 대한기계학회논문집A
    • /
    • 제27권9호
    • /
    • pp.1579-1588
    • /
    • 2003
  • In this paper, the finite element equations for the transient linear viscoelastic stress analysis are presented in time domain, whose variational formulation is derived by using the Galerkin's method based on the equations of motion in time integral. Since the inertia terms are not included in the variational formulation, the time integration schemes such as the Newmark's method widely used in the classical dynamic analysis based on the equations of motion in time differential are not required in the development of that formulation, resulting in a computationally simple and stable numerical algorithm. The viscoelastic material is assumed to behave as a standard linear solid in shear and an elastic solid in dilatation. To show the validity of the presented method, two numerical examples are solved nuder plane strain and plane stress conditions and good results are obtained.