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Dynamic Analysis of Contact Bounce of Aerospace Relay Based on Finite Difference Method 被引量:4
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作者 熊军 何俊佳 臧春艳 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2009年第3期262-267,共6页
Contact bounce of relay, which is the main cause of electric abrasion and material erosion, is inevitable. By using the mode expansion form, the dynamic behavior of two different reed systems for aerospace relays is a... Contact bounce of relay, which is the main cause of electric abrasion and material erosion, is inevitable. By using the mode expansion form, the dynamic behavior of two different reed systems for aerospace relays is analyzed. The dynamic model uses Euler-Bernoulli beam theory for cantilever beam, in which the driving force (or driving moment) of the electromagnetic system is taken into account, and the contact force between moving contact and stationary contact is simulated by the Kelvin-Voigt vis-coelastic... 展开更多
关键词 aerospace relay dynamic analysis finite difference method contact bounce reed system
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An efficient formulation based on the Lagrangian method for contact–impact analysis of flexible multi-body system 被引量:7
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作者 Peng Chen Jin-Yang Liu Jia-Zhen Hong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第2期326-334,共9页
In this paper,an efficien formulation based on the Lagrangian method is presented to investigate the contact–impact problems of f exible multi-body systems.Generally,the penalty method and the Hertz contact law are t... In this paper,an efficien formulation based on the Lagrangian method is presented to investigate the contact–impact problems of f exible multi-body systems.Generally,the penalty method and the Hertz contact law are the most commonly used methods in engineering applications.However,these methods are highly dependent on various non-physical parameters,which have great effects on the simulation results.Moreover,a tremendous number of degrees of freedom in the contact–impact problems will influenc thenumericalefficien ysignificantl.Withtheconsideration of these two problems,a formulation combining the component mode synthesis method and the Lagrangian method is presented to investigate the contact–impact problems in fl xible multi-body system numerically.Meanwhile,the finit element meshing laws of the contact bodies will be studied preliminarily.A numerical example with experimental verificatio will certify the reliability of the presented formulationincontact–impactanalysis.Furthermore,aseries of numerical investigations explain how great the influenc of the finit element meshing has on the simulation results.Finally the limitations of the element size in different regions are summarized to satisfy both the accuracy and efficien y. 展开更多
关键词 Multi-body dynamics contact–impact analysis Lagrangian method Component mode synthesis
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Partition method for impact dynamics of flexible multibody systems based on contact constraint 被引量:6
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作者 段玥晨 章定国 洪嘉振 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第11期1393-1404,共12页
The impact dynamics of a flexible multibody system is investigated. By using a partition method, the system is divided into two parts, the local impact region and the region away from the impact. The two parts are con... The impact dynamics of a flexible multibody system is investigated. By using a partition method, the system is divided into two parts, the local impact region and the region away from the impact. The two parts are connected by specific boundary conditions, and the system after partition is equivalent to the original system. According to the rigid-flexible coupling dynamic theory of multibody system, system's rigid-flexible coupling dynamic equations without impact are derived. A local impulse method for establishing the initial impact conditions is proposed. It satisfies the compatibility con- ditions for contact constraints and the actual physical situation of the impact process of flexible bodies. Based on the contact constraint method, system's impact dynamic equa- tions are derived in a differential-algebraic form. The contact/separation criterion and the algorithm are given. An impact dynamic simulation is given. The results show that system's dynamic behaviors including the energy, the deformations, the displacements, and the impact force during the impact process change dramatically. The impact makes great effects on the global dynamics of the system during and after impact. 展开更多
关键词 flexible multibody system impact dynamics partition method impulse-momentum method contact constraint
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Adaptive Multiscale Method for Two-dimensional Nanoscale Adhesive Contacts 被引量:2
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作者 TONG Ruiting LIU Geng +1 位作者 LIU Lan WU Liyan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第3期606-612,共7页
There are two separate traditional approaches to model contact problems: continuum and atomistic theory. Continuum theory is successfully used in many domains, but when the scale of the model comes to nanometer, conti... There are two separate traditional approaches to model contact problems: continuum and atomistic theory. Continuum theory is successfully used in many domains, but when the scale of the model comes to nanometer, continuum approximation meets challenges. Atomistic theory can catch the detailed behaviors of an individual atom by using molecular dynamics (MD) or quantum mechanics, although accurately, it is usually time-consuming. A multiscale method coupled MD and finite element (FE) is presented. To mesh the FE region automatically, an adaptive method based on the strain energy gradient is introduced to the multiscale method to constitute an adaptive multiscale method. Utilizing the proposed method, adhesive contacts between a rigid cylinder and an elastic substrate are studied, and the results are compared with full MD simulations. The process of FE meshes refinement shows that adaptive multiscale method can make FE mesh generation more flexible. Comparison of the displacements of boundary atoms in the overlap region with the results from full MD simulations indicates that adaptive multiscale method can transfer displacements effectively. Displacements of atoms and FE nodes on the center line of the multiscale model agree well with that of atoms in full MD simulations, which shows the continuity in the overlap region. Furthermore, the Von Mises stress contours and contact force distributions in the contact region are almost same as full MD simulations. The method presented combines multiscale method and adaptive technique, and can provide a more effective way to multiscale method and to the investigation on nanoscale contact problems. 展开更多
关键词 ADAPTIVE multiscale method adhesive contact
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BOUNDARY ELEMENT METHOD FOR MOVING AND ROLLING CONTACT OF 2D ELASTIC BODIES WITH DEFECTS 被引量:3
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作者 姚振汉 蒲军平 金哲植 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2001年第2期183-192,共10页
A scheme of boundary element method for moving contact of two-dimensional elastic bodies using conforming discretization is presented. Both the displacement and the traction boundary conditions are satisfied on the co... A scheme of boundary element method for moving contact of two-dimensional elastic bodies using conforming discretization is presented. Both the displacement and the traction boundary conditions are satisfied on the contacting region in the sense of discretization. An algorithm to deal with the moving of the contact boundary on a larger possible contact region is presented. The algorithm is generalized to rolling contact problem as well. Some numerical examples of moving and rolling contact of 2D elastic bodies with or without friction, including the bodies with a hole-type defect, are given to show the effectiveness and the accuracy of the presented schemes. 展开更多
关键词 boundary element method contact problem moving contact 2D elasticity body with defects
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EFFECTIVE NUMERICAL METHODS FOR ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION 被引量:2
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作者 Wang Xucheng Chang Liangming Cen Zhangzhi (Department of Engineering Mechanics,Tsinghua University) 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1990年第4期349-356,共8页
Several effective numerical methods for solving the elasto-plastic contact problems with friction are pres- ented.First,a direct substitution method is employed to impose the contact constraint conditions on condensed... Several effective numerical methods for solving the elasto-plastic contact problems with friction are pres- ented.First,a direct substitution method is employed to impose the contact constraint conditions on condensed finite ele- ment equations,thus resulting in a reduction by half in the dimension of final governing equations.Second,an algorithm composed of contact condition probes and elasto-plastic iterations is utilized to solve the governing equation,which distinguishes two kinds of nonlinearities,and makes the solution unique.In addition,Positive-Negative Sequence Modifica- tion Method is used to condense the finite element equations of each substructure and an analytical integration is intro- duced to determine the elasto-plastic status after each time step or each iteration,hence the computational efficiency is en- hanced to a great extent.Finally,several test and practical examples are pressented showing the validity and versatility of these methods and algorithms. 展开更多
关键词 ELASTO-PLASTICITY contact problem finite element method
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Modeling Methods and Test Verification of Root Insert Contact Interface for Wind Turbine Blade 被引量:2
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作者 Li Hui Wang Tongguang 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2016年第1期9-15,共7页
Two modeling methods of the root insert for wind turbine blade are presented,i.e.,the local mesh optimization method(LMOM)and the global modeling method(GMM).Based on the optimized mesh of the local model for the meta... Two modeling methods of the root insert for wind turbine blade are presented,i.e.,the local mesh optimization method(LMOM)and the global modeling method(GMM).Based on the optimized mesh of the local model for the metal contact interface,LMOM is proposed to analyze the load path and stress distribution characteristics,while GMM is used to calculate and analyze the stress distribution characteristics of the resin layer established between the bushing and composite layers of root insert.To validate the GMM,a tension test is carried out.The result successfully shows that the shear strain expresses a similar strain distribution tendency with the GMM′s results. 展开更多
关键词 root insert modeling methods mesh optimization contact interface tension test
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CALCULATION OF MILL RIGIDITY BY THREE DIMENSION CONTACT BOUNDARY ELEMENT METHOD 被引量:1
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作者 Shu Xuedao Zhang Liandong Shen Gangxian Rolling Mill Institute,Yanshan University Gao Lihua Beiman Special Type Steel Stock Corporation Ltd. 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2001年第1期82-85,共4页
Vertical rigidity of the space self adaptive 530 high rigidity mill is calculated by applying the boundary element method (BEM) of three dimension elastic contact problem,which can update the existed deforming s... Vertical rigidity of the space self adaptive 530 high rigidity mill is calculated by applying the boundary element method (BEM) of three dimension elastic contact problem,which can update the existed deforming separation calculating theory and corresponding methods of material mechanics,elastic mechanics and finite element method.The method has less hypotheses and stronger synthesis in contact type calculating model.The advantages of the method are high calculating rate,high calculating accuracy,etc.. 展开更多
关键词 Mill rigidity Boundary element method Deforming separation contact type
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The efficiency of direct integration methods in elastic contact-impact problems 被引量:1
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作者 Ibrahim H.Guzelbey Ahmet Erklig Bahattin Kanber 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第4期395-401,共7页
A comparison of direct integration methods is madeand their efficiency is investigated for impact problems.New-mark,Wilson-θ,Central Difference and Houbolt Methodsare used as direct integration methods.Impact analysi... A comparison of direct integration methods is madeand their efficiency is investigated for impact problems.New-mark,Wilson-θ,Central Difference and Houbolt Methodsare used as direct integration methods.Impact analysisincludes that of elastic and large deformation based uponupdated Lagrangian including buckling check.The resultsshow that the direct integration methods give differentresults in different contact-impact cases. 展开更多
关键词 Elastic impact Direct integration methods Finite strain contact
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Contact position controlling for two-dimensional motion bodies by the boundary element method
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作者 Junping Pu and Yuanfeng Wang School of Civil Engineering and Architecture, Northern Jiaotong University, Beijing 100044, China 《Journal of University of Science and Technology Beijing》 CSCD 2002年第2期138-141,共4页
An algorithm is presented for controlling two-dimensional motion contact bodies with conforming discretization. Since a kind of special boundary element is utilized in the algorithm, the displacement compatibility and... An algorithm is presented for controlling two-dimensional motion contact bodies with conforming discretization. Since a kind of special boundary element is utilized in the algorithm, the displacement compatibility and traction equilibrium conditions at nodes can be satisfied simultaneously in arbitrary locations of the contact interface. In addition, a method is also proposed in which the contact boundary location can be moved flexibly on the possible contact boundary. This method is effective to deal with moving and rolling contact problems on a possible larger moving or rolling contact region. Numerical examples show effectiveness of the presented scheme. 展开更多
关键词 boundary element method contact MOVE ROLL
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A measurement method for distinguishing the real contact area of rough surfaces of transparent solids using improved Otsu technique 被引量:4
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作者 宋保江 阎绍泽 向吴维凯 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第1期354-360,共7页
An experimental method of measuring the real contact area of transparent blocks based on the principle of total internal reflection is presented, intending to support the investigation of friction characteristics, hea... An experimental method of measuring the real contact area of transparent blocks based on the principle of total internal reflection is presented, intending to support the investigation of friction characteristics, heat conduction, and energy dissipation at the contact interface. A laser sheet illuminates the contact interface, and the transmitted laser sheet is projected onto a screen. Then the contact information is acquired from the screen by a camera. An improved Otsu method is proposed to process the data of experimental images. It can compute the threshold of the overall image and filter out all the pixels one by one. Through analyzing the experimental results, we describe the relationship between the real contact area and the positive pressure during a continuous loading process, at different loading rates, with the polymethyl methacrylate(PMMA)material. A hysteresis phenomenon in the relationship between the real contact area and the positive pressure is found and explained. 展开更多
关键词 real contact area total internal reflection improved Otsu method hysteresis phenomenon
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BOUNDARY ELEMENT-COMPLIANCE MATRIX METHOD FOR 3D ELASTIC FRICTIONAL CONTACT ANALYSIS
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作者 BAO Jin-song +6 位作者 (鲍劲松) ZHANG Wei-hua (张伟华) GONG Yun-peng (巩云鹏) 《Journal of Shanghai Jiaotong university(Science)》 EI 2002年第1期59-63,共5页
Boundary element compliance matrix (BEM) method to deal with 3D elastic frictional contact problem was presented, and its calculation method and convergence criteria were discussed. It has the advantages of both bound... Boundary element compliance matrix (BEM) method to deal with 3D elastic frictional contact problem was presented, and its calculation method and convergence criteria were discussed. It has the advantages of both boundary element method and compliance matrix methods: small number of inputting data, simple and convenient model, precise solution, short calculating time and requirements for a small quantity of computer memory. In comparison to the other BEM with friction problems, we obtain more precise solution and less iteration times. The effect of friction coefficient on contact area. contace state, and relative displacement, normal and tangential stress was analyzed by two examples. And because of the quickness of calculation of program and efficient method, we visualize the result in virtual reality (VR) environment. We grant the real time of VR and provide more immersion to users who ware the VR device. 展开更多
关键词 frictional contact analysis BEM COMPLIANCE MATRIX method VR
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Investigation on charge parameters of underwater contact explosion based on axisymmetric SPH method 被引量:7
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作者 明付仁 孙鹏楠 张阿漫 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第4期453-468,共16页
This paper investigates the effects of charge parameters of the underwater contact explosion based on the axisymmetric smoothed particle hydrodynamics (SPH) method. The dynamic boundary particle is proposed to impro... This paper investigates the effects of charge parameters of the underwater contact explosion based on the axisymmetric smoothed particle hydrodynamics (SPH) method. The dynamic boundary particle is proposed to improve the pressure fluctuation and numerical accuracy near the symmetric axis. An in-depth study is carried out over the influence of charge shapes and detonation modes on the near-field loads in terms of the peak pressure and impulse of shock waves. For different charge shapes, the cylindrical charge with different length-diameter ratios may cause strong directivity of peak pressure and impulse in the near field. Compared with spherical charge, the peak pressure of cylindrical charge may be either weakened or enhanced in different directions. Within a certain range, the greater the length-diameter ratio is, the more obvious the effect will be. The weakened ratio near the detonation end may reach 25% approximately, while the enhanced ratio may reach around 20% in the opposite direction. However, the impulse in different directions seems to be uniform. For different detonation modes, compared with point-source explosion, the peak pressure of plane-source explosion is enhanced by about 5%. Besides, the impulse of plane-source explosion is enhanced by around 5% near the detonation end, but close to those of the point-source explosion in other directions. Based on the material constitutive relation in the axisymmetric coordinates, a simple case of underwater contact explosion is simulated to verify the above conclusions, showing that the charge parameters of underwater contact explosion should not be ignored. 展开更多
关键词 underwater contact explosion charge parameter axisymmetric smoothedparticle hydrodynamics (SPH) method symmetric axis
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A NEW METHOD FOR SOLUTION OF 3D ELASTIC-PLASTIC FRICTIONAL CONTACT PROBLEMS
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作者 张洪武 钟万勰 顾元宪 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第7期756-765,共10页
The solution of 3 D elastic-plastic frictional contact problems belongs to the un specified boundary problems where the interaction between two kinds of nonlinearities should occur. Considering the difficulties for th... The solution of 3 D elastic-plastic frictional contact problems belongs to the un specified boundary problems where the interaction between two kinds of nonlinearities should occur. Considering the difficulties for the solution of 3 D frictional contact problems, the key part is the determination of the tangential slip states at the contact points, and a great amount of computing work is needed for a high accuracy result. A new method based on a combination of programming and iteration methods, which are respectively known as two main kinds of methods for contact analysis, was put forward to deal with 3 D elastic-plastic contact problems. Numerical results demonstrate the efficiency of the algorithm illustrated here. 展开更多
关键词 3D frictional contact ELASTO-PLASTICITY programming method iteration method the finite element method
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BLOCK PIVOT METHODS FOR SOLVING FRICTIONAL CONTACT PROBLEMS
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作者 陈万吉 陈国庆 冯恩民 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1995年第1期51-58,共8页
Based on elementary group theory, the block pivot methods for solving two-dimensional elastic frictional contact problems are presented in this paper. It is proved that the algorithms converge within a finite number o... Based on elementary group theory, the block pivot methods for solving two-dimensional elastic frictional contact problems are presented in this paper. It is proved that the algorithms converge within a finite number of steps when the friction coefficient is ''relative small''. Unlike most mathematical programming methods for contact problems, the block pivot methods permit multiple exchanges of basic and nonbasic variables. 展开更多
关键词 ELASTIC FRICTIONAL contact TRIAL AND ERROR method MATHEMATICAL PROGRAMMING method BLOCK PIVOT method CONVERGENCE
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Calculating method of contact stress for non-circular gears
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作者 李纪强 刘忠明 颜世铛 《Journal of Chongqing University》 CAS 2015年第1期19-24,共6页
According to Hertz theory, the difference of contact stress for non-circular gears and equivalent gears is compared in the paper, a calculating method of contact stress for non-circular gears by using equivalent gears... According to Hertz theory, the difference of contact stress for non-circular gears and equivalent gears is compared in the paper, a calculating method of contact stress for non-circular gears by using equivalent gears is researched, and computing formulas of power and rotation speed for equivalent gears are deduced. A numerical simulation of contact stress for non-circular gears has also been conducted based on the finite element method. By the comparison of fitting curves, the feasibility of using equivalent gears instead of non-circular gears to calculate the contact stress is testified. 展开更多
关键词 non-circular gear contact stress equivalent gear calculating method
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SOLVING CONTACT PROBLEM WITH FRICTION BY A NEW FAST BOUNDARY ELEMENT METHOD
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作者 Huang, Qingxue Du, Qungui Shen, Guangxian 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1998年第3期38-43,共6页
The formulation of boundary element method for handling contact problems with friction and the technique for high speed contact analysis are presented. This formulation is based on the idea of modifying the length of... The formulation of boundary element method for handling contact problems with friction and the technique for high speed contact analysis are presented. This formulation is based on the idea of modifying the length of contact elements without altering the total number of elements. The high precision of solution and high speed analysis are verified according to the results of conventional method and analysis method. 展开更多
关键词 contact problem with friction Boundary element method High speed iteration
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An easier method for performing a pancreaticojejunostomy for the soft pancreas using a fast-absorbable suture 被引量:9
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作者 Kenichi Hakamada Shunji Narumi +5 位作者 Yoshikazu Toyoki Masaki Nara Kenosuke Ishido Takuya Miura Norihito Kubo Mutsuo Sasaki 《World Journal of Gastroenterology》 SCIE CAS CSCD 2008年第7期1091-1096,共6页
AIM: To clarify the usefulness of a new method for performing a pancreaticojejunostomy by using a fast-absorbable suture material irradiated polyglactin 910, and a temporary stent tube for a narrow pancreatic duct wit... AIM: To clarify the usefulness of a new method for performing a pancreaticojejunostomy by using a fast-absorbable suture material irradiated polyglactin 910, and a temporary stent tube for a narrow pancreatic duct with a soft pancreatic texture.METHODS: Among 63 consecutive patients with soft pancreas undergoing a pancreaticoduodenectomy from 2003 to 2006, 35 patients were treated with a new reconstructive method. Briefly, after the pancreatic transaction, a stent tube was inserted into the lumen of the pancreatic duct and ligated with it by a fast-absorbable suture. Another tip of the stent tube was introduced into the intestinal lumen at the jejunal limb, where a purse-string suture was made by another fast-absorbable suture to roughly fix the tube. The pancreaticojejunostomy was completed by ligating two fast-absorbable sutures to approximate the ductal end and the jejunal mucosa, and by adding a rough anastomosis between the pancreatic parenchyma and the seromuscular layer of the jejunum. The initial surgical results with this method were retrospectively compared with those of the 28 patients treated with conventional duct-to-mucosa anastomosis.RESULTS: The incidences of postoperative morbidity including pancreatic fistula were comparable between the two groups (new; 3%-17% vs conventional; 7%-14% according to the definitions). There was no mortality and re-admission. Late complications were also rarely seen.CONCLUSION: A pancreaticojejunostomy using an irradiated polyglactin 910 suture material and a temporary stent is easy to perform and is feasible even in cases with a narrow pancreatic duct and a normal soft pancreas. 展开更多
关键词 PANCREATICOJEJUNOSTOMY Duct-to-mucosa contact method Fast-absorbable suture Irradiated polyglactin 910 Pancreatic fistula
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Fluid structure interaction simulation of supersonic parachute inflation by an interface tracking method 被引量:9
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作者 Xue YANG Li YU +1 位作者 Min LIU Haofei PANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第6期1692-1702,共11页
An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a fin... An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a finite volume method is accomplished.In order to apply this interface tracking method to problems with instantaneous large deformation and self-contact,a new virtual structure contact method is proposed to leave room for the body-fitted mesh between the contact structural surfaces.In addition,the breakpoint due to the fluid mesh with negative volume is losslessly restarted by the conservative interpolation method.Based on this method,fluid and structural dynamic behaviors of a highly folded disk-gap-band parachute are obtained.Numerical results such as maximum Root Mean Square(RMS)drag,general canopy shape and the smallest canopy projected areas in the terminal descent state are in accordance with the wind tunnel test results.This analysis reveals the inflation law of the disk-gap-band parachute and provides a new numerical method for supersonic parachute design. 展开更多
关键词 contact method Fluid structure interaction Inflation dynamics Numerical Simula lion:Supersonic paruchute
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Modeling and Simulation of Valve Cycle in Vein Using an Immersed Finite Element Method
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作者 Xiang Liu Liangbo Sun +2 位作者 Mingzhen Wang Bin Li Lisheng Liu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第4期153-183,共31页
A vein model was established to simulate the periodic characteristics of blood flow and valve deformation in blood-induced valve cycles.Using an immersed finite element method which was modified by a ghost fluid techn... A vein model was established to simulate the periodic characteristics of blood flow and valve deformation in blood-induced valve cycles.Using an immersed finite element method which was modified by a ghost fluid technique,the interaction between the vein and blood was simulated.With an independent solid solver,the contact force between vein tissues was calculated using an adhesive contact method.A benchmark simulation of the normal valve cycle validated the proposed model for a healthy vein.Both the opening orifice and blood flow rate agreed with those in the physiology.Low blood shear stress and maximum leaflet stress were also seen in the base region of the valve.On the basis of the healthy model,a diseased vein model was subsequently built to explore the sinus lesions,namely,fibrosis and atrophy which are assumed stiffening and softening of the sinus.Our results showed the opening orifice of the diseased vein was inversely proportional to the corresponding modulus of the sinus.A drop in the transvalvular pressure gradient resulted from the sinus lesion.Compared to the fibrosis,the atrophy of the sinus apparently improved the vein deformability but simultaneously accelerated the deterioration of venous disease and increased the risk of potential fracture.These results provide understandings of the normal/abnormal valve cycle in vein,and can be also helpful for the prosthesis design. 展开更多
关键词 Numerical simulation fluid-structure interaction immersed finite element method adhesive contact method bio-mechanics venous valve.
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