• 제목/요약/키워드: Continuum-Based Model

검색결과 241건 처리시간 0.019초

A non-dimensional theoretical approach to model high-velocity impact on thick woven plates

  • Alonso, L.;Garcia-Gonzalez, D.;Navarro, C.;Garcia-Castillo, S.K.
    • Steel and Composite Structures
    • /
    • 제38권6호
    • /
    • pp.717-737
    • /
    • 2021
  • A theoretical energy-based model to capture the mechanical response of thick woven composite laminates, which are used in such applications as maritime or aerospace, to high-velocity impact was developed. The dependences of the impact phenomenon on material and geometrical parameters were analysed making use of the Vaschy-Buckingham Theorem to provide a non-dimensional framework. The model was divided in three different stages splitting the physical interpretation of the perforation process: a first where different dissipative mechanisms such as compression or shear plugging were considered, a second where a transference of linear momentum was assumed and a third where only friction took place. The model was validated against experimental data along with a 3D finite element model. The numerical simulations were used to validate some of the new hypotheses assumed in the theoretical model to provide a more accurate explanation of the phenomena taking place during a high-velocity impact.

Mechanical and Thermal Behavior of Polyamide-6/Clay Nanocomposite Using Continuum-based Micromechanical Modeling

  • Weon, Jong-Il
    • Macromolecular Research
    • /
    • 제17권10호
    • /
    • pp.797-806
    • /
    • 2009
  • The mechanical and thermal behaviors of polyamide-6/clay nanocomposites were studied using the continuum-based, micromechanical models such as Mori-Tanaka, Halpin-Tsai and shear lag. Mechanic-based model prediction provides a better understanding regarding the dependence of the nanocomposites' reinforcement efficiency on conventional filler structural parameters such as filler aspect ratio ($\alpha$), filler orientation (S), filler weight fraction (${\Psi}_f$), and filler/matrix stiffness ratio ($E_f/E_m$). For an intercalated and exfoliated nanocomposite, an effective, filler-based, micromechanical model that includes effective filler structural parameters, the number of platelets per stack (n) and the silicate inter-layer spacing ($d_{001}$), is proposed to describe the mesoscopic intercalated filler and the nanoscopic exfoliated filler. The proposed model nicely captures the experimental modulus behaviors for both intercalated and exfoliated nanocomposites. In addition, the model prediction of the heat distortion temperature is examined for nanocomposites with different filler aspect ratio. The predicted heat distortion temperature appears to be reasonable compared to the heat distortion temperature obtained by experimental tests. Based on both the experimental results and model prediction, the reinforcement efficiency and heat resistance of the polyamide-6/clay nanocomposites definitely depend on both conventional (${\alpha},\;S,\;{\Psi}_f,\;E_f/E_m$) and effective (n, $d_{001}$) filler structural parameters.

A review on modelling and monitoring of railway ballast

  • Ngamkhanong, Chayut;Kaewunruen, Sakdirat;Baniotopoulos, Charalampos
    • Structural Monitoring and Maintenance
    • /
    • 제4권3호
    • /
    • pp.195-220
    • /
    • 2017
  • Nowadays, railway system plays a significant role in transportation, conveying cargo, passengers, minerals, grains, and so forth. Railway ballasted track is a conventional railway track as can be seen all over the world. Ballast, located underneath the sleepers, is the most important elements on ballasted track, which has many functions and requires routine maintenance. Ballast needs to be maintained frequently to prevent rail buckling, settlement, misalignment so that ballast has to be modelled accurately. Continuum model was introduced to model granular material and was extended in ballast. However, ballast is a heterogeneous material with highly nonlinear behaviour. Hence, ballast could not be modelled accurately in continuum model due to the discontinuities nature and material degradation of ballast. Discrete element modelling (DEM) is proposed as an alternative approach that provides insight into constitutive model, realistic particle, and contact algorithm between each particle. DEM has been studied in many recent decades. However, there are limitations due to the high computational time and memory consumption, which cause the lack of using in high range. This paper presents a review of recent ballast modelling with benefits and drawbacks. Ballast particles are illustrated either circular, circular crump, spherical, spherical crump, super-quadric, polygonal and polyhedral. Moreover, the gaps and limitations of previous studies are also summarized. The outcome of this study will help the understanding into different ballast modelling and particle. The insight information can be used to improve ballast modelling and monitoring for condition-based track maintenance.

Finite element vibration analysis of nanoshell based on new cylindrical shell element

  • Soleimani, Iman;Beni, Yaghoub T.;Dehkordi, Mohsen B.
    • Structural Engineering and Mechanics
    • /
    • 제65권1호
    • /
    • pp.33-41
    • /
    • 2018
  • In this paper, using modified couple stress theory in place of classical continuum theory, and using shell model in place of beam model, vibrational behavior of nanotubes is investigated via the finite element method. Accordingly classical continuum theory is unable to correctly compute stiffness and account for size effects in micro/nanostructures, higher order continuum theories such as modified couple stress theory have taken on great appeal. In the present work the mass-stiffness matrix for cylindrical shell element is developed, and by means of size-dependent finite element formulation is extended to more precisely account for nanotube vibration. In addition to modified couple stress cylindrical shell element, the classical cylindrical shell element can also be defined by setting length scale parameter to zero in the equations. The boundary condition were assumed simply supported at both ends and it is shown that the natural frequency of nano-scale shell using the modified coupled stress theory is larger than that using the classical shell theory and the results of Ansys. The results have indicated using the modified couple stress cylindrical shell element, the rigidity of the nano-shell is greater than that in the classical continuum theory, which results in increase in natural frequencies. Besides, in addition to reducing the number of elements required, the use of this type of element also increases convergence speed and accuracy.

탄성변형에너지 등가원리 기반 연속체 손상모델에 대한 수치실험 (Numerical Experiment for a Strain Energy Equivalence Principle (SEEP)-based Continuum Damage Model)

  • 윤덕기;이우식
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2006년도 추계학술대회 논문집
    • /
    • pp.31-34
    • /
    • 2006
  • 이 논문에서는 선관통형 균열을 포함하는 정사각형 평판과 선관통형 균열이 연속체 손상이론을 이용에서 구한 유효 직교 이방성 탄성 물성치의 등가 연속체 모델로 대체된 평판의 모드형상과 고유진동수를 비교하여 SEEP에 기반하여 Lee 등이 [5] 제안한 연속체 손상이론을 검증하였다.

  • PDF

레코드 컨티뉴엄 이론의 기원에 관한 연구 라이프사이클 모델과의 비교를 중심으로 (A Study on the Origin of Record Continuum Theory : Focusing on the Comparison with Record Lifecycle Model)

  • 김명훈
    • 기록학연구
    • /
    • 제68호
    • /
    • pp.5-39
    • /
    • 2021
  • 본 연구에서는 레코드 컨티뉴엄 이론의 기원을 20세기 중반 이후 호주의 기록관리 상황 및 라이프사이클 모델과 결부하여 분석하였다. 레코드 컨티뉴엄 이론에 대한 심도 있는 이해를 위해서는 형성 배경 및 과정에 대한 고찰이 필요하며, 아울러 라이프사이클 모델에 대한 반향으로 구축된 이론체계란 점에서 라이프사이클 모델 자체에 대한 분석 역시 전제되어야 하기 때문이다. 이를 위해 우선 레코드 컨티뉴엄 이론형성의 역사적 배경 분석을 목표로, 1950년대 호주의 독립된 공공기록관리 체제의 모색 과정 속에서 미국의 라이프사이클 모델을 집중적으로 조명하게 된 배경 및 과정을 고찰하였다. 이어 라이프사이클 모델의 형성 배경과 함께 의미 및 한계를 고찰하였다. 라이프사이클 모델의 주요 내용 및 의의, 한계를 고찰하기 위해서는 어떠한 상황 속에서 형성되었는지에 대한 분석이 필요하며, 아울러 레코드 컨티뉴엄 이론이 라이프사이클 모델에 대한 비판을 통해 형성되었다면, 라이프사이클 모델이 지닌 의의 및 한계에 대한 고찰이 필요하기 때문이다. 이러한 분석을 토대로 마지막으로 호주의 새로운 기록생산 환경 속에 라이프사이클 모델의 적용에 따른 문제점과 더불어, 이를 기반으로 새롭게 태동된 레코드 컨티뉴엄 이론의 기원이 된 요소들을 고찰하였다.

The dilatancy and numerical simulation of failure behavior of granular materials based on Cosserat model

  • Chu, Xihua;Yu, Cun;Xu, Yuanjie
    • Interaction and multiscale mechanics
    • /
    • 제5권2호
    • /
    • pp.157-168
    • /
    • 2012
  • The dilatancy of granular materials has significant influence on its mechanical behaviors. The dilation angle is taken as a constant in conventional associated or non-associated flow rules based on Drucker-Prager yields theory. However, various experimental results show the dilatancy changes during progressive failure of granular materials. A non-associated flow rule with evolution of dilation angle is adopted in this study, and Cosserat continuum theory is used to describe the behaviors of granular materials for considering to some extent the its internal structure. Numerical examples focus on the bearing capacity and localization of granular materials, and results illustrate the capability and performance of the presented model in modeling the effect on failure behavior of granular materials.

Seismic assessment of steel structures through a cumulative damage

  • Perera, R.;Gomez, S.;Alarcon, E.
    • Steel and Composite Structures
    • /
    • 제1권3호
    • /
    • pp.283-294
    • /
    • 2001
  • In the present work a constitutive model is developed which permits the assessment of the structural performance through a criterion based on cumulative damage. For it, a damage index is defined and is evaluated through the application of the Miner's rule in low-cycle fatigue. However, the damage index is not considered as a posteriori variable since is incorporated explicitly as an internal variable in the constitutive equations which produces a direct coupling between the damage and the structural mechanical behaviour allowing the possibility of considering as a whole different coupled phenomena. For the elaboration of this damage model, the concepts of the mechanics of continuum medium are applied on lumped dissipative models in order to obtain a coupled simplified model. As a result an elastoplastic model coupled with damage and fatigue damage is obtained.

등방성손상을 고려한 탄소성 대변형 무제의 유한요소해석(제2보) (Finite Element Analysis of Elasto-Plastic Large Deformation considering the Isotropic Damage(the 2nd Report))

  • 이종원
    • 한국해양공학회지
    • /
    • 제14권2호
    • /
    • pp.76-83
    • /
    • 2000
  • this paper was concentrated on the finite element formulation to solve boundary value problems by using the isotropic elasto-plastic damage constitutive model proposed previously(Noh, 2000) The plastic damage of ductile materials is generally accompanied by large plasticdeformation and strain. So nonlinearity problems induced by large deformation large rotation and large strain behaviors were dealt with using the nonlinear kinematics of elasto-plastic deformations based on the continuum mechanics. The elasto-plastic damage constitutive model was applied to the nonlinear finite element formulation process of Shin et al(1997) and an improved analysis model considering the all nonlinearities of structural behaviors is proposed. Finally to investigate the applicability and validity of the numerical model some numerial examples were considered.

  • PDF

Analytical solutions for bending of transversely or axially FG nonlocal beams

  • Nguyen, Ngoc-Tuan;Kim, Nam-Il;Lee, Jaehong
    • Steel and Composite Structures
    • /
    • 제17권5호
    • /
    • pp.641-665
    • /
    • 2014
  • This paper presents the analytical solutions for the size-dependent static analysis of the functionally graded (FG) beams with various boundary conditions based on the nonlocal continuum model. The nonlocal behavior is described by the differential constitutive model of Eringen, which enables to this model to become effective in the analysis and design of nanostructures. The elastic modulus of beam is assumed to vary through the thickness or longitudinal directions according to the power law. The governing equations are derived by using the nonlocal continuum theory incorporated with Euler-Bernoulli beam theory. The explicit solutions are derived for the static behavior of the transversely or axially FG beams with various boundary conditions. The verification of the model is obtained by comparing the current results with previously published works and a good agreement is observed. Numerical results are presented to show the significance of the nonlocal effect, the material distribution profile, the boundary conditions, and the length of beams on the bending behavior of nonlocal FG beams.