• Title/Summary/Keyword: Stress and Displacement Fields

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A Numerical Analysis on the Curved Bileaflet Mechanical Heart Valve (MHV): Leaflet Motion and Blood Flow in an Elastic Blood Vessel

  • Bang, Jin-Seok;Choi, Choeng-Ryul;Kim, Chang-Nyung
    • Journal of Mechanical Science and Technology
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    • v.19 no.9
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    • pp.1761-1772
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    • 2005
  • In blood flow passing through the mechanical heart valve (MHV) and elastic blood vessel, hemolysis and platelet activation causing thrombus formation can be seen owing to the shear stress in the blood. Also, fracture and deformation of leaflets can be observed depending on the shape and material properties of the leaflets which is opened and closed in a cycle. Hence, comprehensive study is needed on the hemodynamics which is associated with the motion of leaflet and elastic blood vessel in terms of fluid-structure interaction. In this paper, a numerical analysis has been performed for a three-dimensional pulsatile blood flow associated with the elastic blood vessel and curved bileaflet for multiple cycles in light of fluid-structure interaction. From this analysis fluttering phenomenon and rebound of the leaflet have been observed and recirculation and regurgitation have been found in the flow fields of the blood. Also, the pressure distribution and the radial displacement of the elastic blood vessel have been obtained. The motion of the leaflet and flow fields of the blood have shown similar tendency compared with the previous experiments carried out in other studies. The present study can contribute to the design methodology for the curved bileaflet mechanical heart valve. Furthermore, the proposed fluid-structure interaction method will be effectively used in various fields where the interaction between fluid flow and structure are involved.

Thermal Stress Intensity Factors for Traction Free Cusp Cracks (트랙션이 없는 커스프 균열의 열응력세기계수에 관한 연구)

  • 이강용;최흥섭
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.286-294
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    • 1988
  • The thermal stress intensity factors (TSIF's) for the cusp cracks such as hypocycloid crack, symmetric airfoil crack and symmetric lip crack are determined by using Bogdanoff's complex variable approaches in plane thermoplasticity. The results are expressed in terms of the periodic functions of the direction of uniform heat flow. The TSIF's are shown to be sensitive to both the direction of uniform heat flow and be thermal boundary conditions. It is also shown that Fourence's solutions for an insulated circular hole and Sih's solutions for an insulated Griffith crack are derived from the results of the stress and displacement fields for the hypocycloid crack and the TSIF's for the various cusp cracks, respectively.

Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching (복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.1A
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    • pp.11-18
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    • 2012
  • This paper deals with the numerical determination of the stress intensity factors of cracked aluminum plates under the mixed mode of $K_I$ and $K_{II}$ in glass-epoxy fiber reinforced composites. For the stress intensity factors, two different models are reviewed such as VCCT and two-step extension method. The p-convergent partial layerwise model is adopted to determine the fracture parameters in terms of energy release rates and stress intensity factors. The p-convergent approach is based on the concept of subparametric element. In assumed displacement field, strain-displacement relations and 3-D constitutive equations of a layer are obtained by combination of 2-D and 1-D higher-order shape functions. In the elements, Lobatto shape functions and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature. Using the models and techniques considered, effects of composite laminate configuration according to inclined angles and adhesive properties on the performance of bonded composite patch are investigated. In addition to these, the out-of-plane bending effect has been investigated across the thickness of patch repaired laminate plates due to the change of neutral axis. The present model provides accuracy and simplicity in terms of stress intensity factors, stress distribution, number of degrees of freedom, and energy release rates as compared with previous works in literatures.

DEVEOPMENT OF MEASURING SYSTEM OF MEMBRANE STRESS FOR MEMBRANE STRUCTURE (막구조물의 막장력 측정장치 개발에 관한 연구)

  • Jung, Hwan-Mok;Woo, Jae-Won;Cho, Byung-Wook;Lee, Seong-Yeun
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.171-178
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    • 2008
  • This paper is concerned with the development of a measurement system using field measuring device which will give the membrane stress of the membrane structures. Up to this point, several techniques on measurement of membrane stresses has been proposed and some have been used in the fields, but accuracy of the measured stresses to be far from reliable one. Such situation has not been changed until recent days, we do not have the measurement device on which we can depend. On top of that, due to the different properties in cross directions for material of the membrane, the stress in the warp direction is different from that in the fill one. A new method is proposed to measured membrane stresses in two different direction separately, where instead of membrane stresses directly, an external force perpendicular to the membrane to be applied. A portable device can measure the applied force and the displacement. A special testing bed to be fabricated to accommodate $50cm{\times}50$ manbrane specimen which can apply 5 ton load in two orthogonal direction. A special device using push-pull gage was developed. To measure the membrane stresses in warp and fill direction separately, a different length of the tips are used. The measuring device which can called tension meter, can be calibrated on the testing bed, and optimized the length and shape of tip.

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Size dependent bending analysis of micro/nano sandwich structures based on a nonlocal high order theory

  • Rahmani, Omid;Deyhim, Soroush;Hosseini, S. Amir Hossein
    • Steel and Composite Structures
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    • v.27 no.3
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    • pp.371-388
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    • 2018
  • In this paper, a new model based on nonlocal high order theory is proposed to study the size effect on the bending of nano-sandwich beams with a compliance core. In this model, in contrast to most of the available sandwich theories, no prior assumptions are made with respect to the displacement field in the core. Herein the displacement and the stress fields of the core are obtained through an elasticity solution. Equations of motion and boundary conditions for nano-sandwich beam are derived by using Hamilton's principle and an analytical solution is presented for simply supported nano-sandwich beam. The results are validated with previous studies in the literature. These results can be utilized in the study of nano-sensors and nano-actuators. The effect of nonlocal parameter, Young's modulus of the core and aspect ratio on the deflection of the nano-sandwich beam is investigated. It is concluded that by including the small-scale effects, the deflection of the skins is increased and by increasing the nonlocal parameter, the influence of small-scale effects on the deflections is increased.

Application of machine learning and deep neural network for wave propagation in lung cancer cell

  • Xing, Lumin;Liu, Wenjian;Li, Xin;Wang, Han;Jiang, Zhiming;Wang, Lingling
    • Advances in nano research
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    • v.13 no.3
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    • pp.297-312
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    • 2022
  • Coughing and breath shortness are common symptoms of nano (small) cell lung cancer. Smoking is main factor in causing such cancers. The cancer cells form on the soft tissues of lung. Deformation behavior and wave vibration of lung affected when cancer cells exist. Therefore, in the current work, phase velocity behavior of the small cell lung cancer as a main part of the body via an exact size-dependent theory is presented. Regarding this problem, displacement fields of small cell lung cancer are obtained using first-order shear deformation theory with five parameters. Besides, the size-dependent small cell lung cancer is modeled via nonlocal stress/strain gradient theory (NSGT). An analytical method is applied for solving the governing equations of the small cell lung cancer structure. The novelty of the current study is the consideration of the five-parameter of displacement for curved panel, and porosity as well as NSGT are employed and solved using the analytical method. For more verification, the outcomes of this reports are compared with the predictions of deep neural network (DNN) with adaptive optimization method. A thorough parametric investigation is conducted on the effect of NSGT parameters, porosity and geometry on the phase velocity behavior of the small cell lung cancer structure.

Effective modeling of beams with shear deformations on elastic foundation

  • Gendy, A.S.;Saleeb, A.F.
    • Structural Engineering and Mechanics
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    • v.8 no.6
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    • pp.607-622
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    • 1999
  • Being a significant mode of deformation, shear effect in addition to the other modes of stretching and bending have been considered to develop two finite element models for the analysis of beams on elastic foundation. The first beam model is developed utilizing the differential-equation approach; in which the complex variables obtained from the solution of the differential equations are used as interpolation functions for the displacement field in this beam element. A single element is sufficient to exactly represent a continuous part of a beam on Winkler foundation for cases involving end-loadings, thus providing a benchmark solution to validate the other model developed. The second beam model is developed utilizing the hybrid-mixed formulation, i.e., Hellinger-Reissner variational principle; in which both displacement and stress fields for the beam as well as the foundation are approxmated separately in order to eliminate the well-known phenomenon of shear locking, as well as the newly-identified problem of "foundation-locking" that can arise in cases involving foundations with extreme rigidities. This latter model is versatile and indented for utilization in general applications; i.e., for thin-thick beams, general loadings, and a wide variation of the underlying foundation rigidity with respect to beam stiffness. A set of numerical examples are given to demonstrate and assess the performance of the developed beam models in practical applications involving shear deformation effect.

Effects of changing materials properties for vibration of FGM beam using integral shear deformation model

  • Mokhtar Ellali;Mashhour A. Alazwari;Mokhtar Bouazza;Mohamed A. Eltaher;Noureddine Benseddiq
    • Coupled systems mechanics
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    • v.13 no.4
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    • pp.277-291
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    • 2024
  • The objective of this work is to study the effects of the modification of material properties on the vibration of the FGM beam using an integral shear strain model. In the present theory, the rotational displacement is replaced by an integral term in the displacement fields. The use of a shear correction factor is not necessary because our model gives a parabolic description of shear stress through the thickness while satisfying the conditions of zero shear stresses on the bottom and top surfaces of the beam. The FGM beam is assumed that the beam is a mixture of metal and ceramic, and that its properties change depending on the power functions of the thickness of the beam such as: linear, quadratic, cubic and inverse quadratic. By applying Hamilton's principle, general formulas were obtained to obtain the frequencies of the FGM beam. The effects of changing compositional characteristics of materials presented by volume fraction of FGM beams with simply supported edges on free vibration and some mode shapes are investigated.

Evaluationof Growing Crack-Tip Singularity in A533B Steel by Image Processing Technique (화상처리법을 이용한 A533B강의 진전균열특이장 평가)

  • Pyo, Chang-Ryul;Kim, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.1
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    • pp.124-132
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    • 1997
  • This paper describes an experimental and numerical study on growing ductile crack-tip behaviors. The hybrid experimental and numerical method by means of a computer image processign technique, was applied to the analysis of both base metal and weld metal CT specimens. In the weld metal specimen, the initial crack-tip was placed in front of fusion line, and the crack orientation was perpendicular to it. Finite element analysis of crack growth behaviors in both base and weld matal specimens made of A533B Class 1 steel were also performed to examine the effects of weldment on near crack-tip fields. a series of experimental studies on crack-tip behaviors have clearly shown the qualitative effects of material properties, especially a hardening exponent. The experimental and numerical results have also shown that weldment does not affect displacement and strain fields near a crack-tip while a stress field is influenced by the difference between yield stresses of both base and weld metals.

Finite Element Formulation Based on Enhanced First-order Shear Deformation Theory for Thermo-mechanical Analysis of Laminated Composite Structures (복합소재 적층 구조물에 대한 열-기계적 거동 예측을 위한 개선된 일차전단변형이론의 유한요소 정식화)

  • Jun-Sik Kim;Dae-Hyeon Na;Jang-Woo Han
    • Composites Research
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    • v.36 no.2
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    • pp.117-125
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    • 2023
  • This paper proposes a new finite element formulation based on enhanced first-order shear deformation theory including the transverse normal strain effect via the mixed formulation (EFSDTM-TN) for the effective thermo-mechanical analysis of laminated composite structures. The main objective of the EFSDTM-TN is to provide an accurate and efficient solution in describing the thermo-mechanical behavior of laminated composite structures by systematically establishing the relationship between two independent fields (displacement and transverse stress fields) via the mixed formulation. Another key feature is to consider the thermal strain effect without additional unknown variables by introducing a refined transverse displacement field. In the finite element formulation, an eight-node isoparametric plate element is newly developed to implement the advantage of the EFSDTM-TN. Numerical solutions for the thermo-mechanical behavior of laminated composite structures are compared with those available in the open literature to demonstrate the numerical performance of the proposed finite element model.