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C^0DISCONTINUOUS GALERKIN METHODS FOR A PLATE frictional CONTACT PROBLEM

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Journal of Computational Mathematics 2019年第2期37卷 184-200页

作者： Fei Wang Tianyi Zhang Weimin Han School of Mathematics and Statistics Xi 'an Jiaotong University Xi'an 710049 China Program in Applied Mathematical and Computational Sciences University of Iowa Iowa City IA 52242 USA School of Mathematics and Statistics Xi 'an Jiaotong University Xi'an 710049 China Departinent of Mathematics University of Iowa Iowa City. IA 52242 USA

Numerous C^0 discontinuous Galerkin (DG) schemes for the Kirchhoff plate bending problem are extended to solve a plate frictional contact problem, which is a fourth-order elliptic variational inequality of the second kind. This variational inequality contains a nondifferentiable term due to the frictional contact. We prove that these C^0 DG methods are consis tent and st able, and derive optimal order error estima tes for the quadratic element. A numerical example is presented to show the performance of the C^0 DG methods;and the numerical convergence orders confirm the theoretical prediction.

关键词： Variational inequality of fourth-order Discontinuous Galerkin method Plate frictional contact problem Optimal order error estimate

Simulation of landslide run-out by considering frictional heating and thermal pressurization

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Journal of Mountain Science 2019年第1期16卷 122-137页

作者： LIU Wei HE Si-ming HE Zi-lu Key Laboratory of Mountain Hazards and Surface Process Chinese Academy of Science Institute of Mountain Hazards and Environment Chinese Academy of Sciences CAS Center for Excellence in Tibetan Plateau Earth Sciences Department of Applied Mechanics and Engineering Southwest Jiaotong University

Some of the remarkable characteristics of natural landslides, such as surprisingly long travel distances and high velocities, have been attributed to the mechanisms of frictional heating and thermal pressurization. In this work, this mechanism is combined with a depth-averaged model to simulate the long runout of landslides in the condition of deformation. Some important factors that influence frictional heating and thermal pressurization within the shear zone are further considered, including velocity profile and pressurization coefficient. In order to solve the coupled equations, a combined computational method based on the finite volume method and quadratic upwind interpolation for convective kinematics scheme is proposed. Several numerical tests are performed to demonstrate the feasibility of the computational scheme, the influence of thermal pressurization on landslide run-out, and the potential of the model to simulate an actual landslide.

关键词： Landslide frictional heating Thermal pressurization Numerical simulation

FEM　SIMULATION　OF　BIMETAL　FORMING　PROCESS　BASED　ON　frictional　ELEMENT　TECHNOLOGY

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中国有色金属学会会刊：英文版 1996年第2期6卷 53-56页

作者： Peng Yinghong Wang Lidong Li Xiaochun Ruan Xueyu (Deptartment of Plasticity Technology, Shanghai Jiao Tong University, Shanghai 200030) Deptartment of Plasticity Technology Shanghai Jiao Tong University Shanghai 200030 China

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ＦＥＭＳＩＭＵＬＡＴＩＯＮＯＦＢＩＭＥＴＡＬＦＯＲＭＩＮＧＰＲＯＣＥＳＳＢＡＳＥＤＯＮＦＲＩＣＴＩＯＮＡＬＥＬＥＭＥＮＴＴＥＣＨＮＯＬＯＧＹＰｅｎｇＹｉｎｇｈｏｎｇ；ＷａｎｇＬｉｄｏｎｇ；ＬｉＸｉａｏｃｈｕｎ；ＲｕａｎＸｕｅｙｕ（Ｄｅｐｔａｒｔｍｅｎ...

关键词： bimetal forming frictional element FEM simulation

An optimized perforation clusters spacing model based on the frictional shale layer’s debonding

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Science China(Physics,Mechanics & Astronomy) 2019年第11期62卷 142-145页

作者： Tao Wang Xuan Ye ZhanLi Liu Yue Gao Zhuo Zhuang School of Aerospace Engineering Tsinghua University

The success of hydraulic fracturing for shale gas recovery has motivated much research interest in understanding the underlying mechanisms (1-3)When hydraulic fractures (HFs) expand, multiple cracks and crack branches... 详细信息

关键词： An optimized perforation clusters spacing model based on the frictional shale layer’s debonding SRV

Preliminary study on interaction between plant frictional root and rock-soil mass

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Science China(Technological Sciences) 2010年第7期53卷 1938-1942页

作者： YAN ZhiXin1’2, SONG Yun3, JIANG Ping1’2 & WANG HouYu4 1 Key Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University), Ministry of Education, Lanzhou 730000, China 2 School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China 3 College of Civil Engineering and Mechanics, Central South University of Forestry and Technology, Changsha 410004, China 4 Air Force Engineering Design & Research Bureau, Beijing 100077, China Key Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University) Ministry of Education Lanzhou China School of Civil Engineering and Mechanics Lanzhou University Lanzhou China College of Civil Engineering and Mechanics Central South University of Forestry and Technology Changsha China Air Force Engineering Design & Research Bureau Beijing China

The interaction between lateral root system of woody plant and soil mass is similar to the one between shrub, herbage and soil mass, and has the effect of frictional reinforcement on slope soil. It plays an important role in reinforcing soil strength in shallow slope. Therefore, slope soil mass can be considered as a composite of soil and plant roots and the soil strength and stability of shallow slope soil mass are improved. However, current researches still remain on the level of qualitatively analyzing the relation between root and soil mass. In this paper, some exploratory researches on quantitative analysis of the interaction mechanism between root and soil mass are conducted. With the study of interaction between herbage root system (lateral root system of woody plants) and soil mass, the mechanical model of interaction between frictional root and soil mass is established. The accuracy of the model is verified by field experiments of Pinus Yunnanensis. The mechanical model provides a crucial theoretical guidance to quantitatively analyzing the interaction between plant root and soil mass; it also has certain values in application.

关键词： plant slope protection vegetation for slope protection mechanical model frictional root

Finite-element modelling of frictional behaviour between oesophagus and endoscope

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Biosurface and Biotribology 2020年第3期6卷 75-81页

作者： Chengxiong Lin Pan Ren Wei Li Hengyi Deng Zhongrong Zhou Key Laboratory for Advanced Technology of Materials of Ministry of Education Tribology Research InstituteSouthwest Jiaotong UniversityChengdu 610031People’s Republic of China Department of General Surgery Chengdu Second People’s HospitalChengdu 610017People’s Republic of China

The endoscopy is the most direct and effective means for digestive tract *** workers can conduct a series of manipulations with the help of endoscope,including checking,removing,stripping the diseased tissue or placing the *** order to understand the frictional behaviour at the endoscope-oesophagus interface,the finite-element model was analysed by Abaqus in this *** the different modelling conditions,the total force due to frictional stress,frictional dissipation and the maximum Mises stress for the whole model were *** showed that with the increasing amplitude,coefficient of friction and decreasing diameter,the total forces due to the frictional stress and the FD increased *** did not present a clear difference with the variable distance for overlapping parts(region L).The positions of maximum Mises stress for the whole model under different conditions mainly focused on the initial part of the region *** maximum Mises stress between different diameters showed a big *** results can provide the basic data for the finite-element modelling of frictional behaviour of human tissue.

关键词： friction frictional behaviour

Study on Quantitative Relationship between Surface Wettability and frictional Coefficient of Liquid Flowing in a Turbulent Horizontal Pipe

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China Petroleum Processing & Petrochemical Technology 2017年第3期19卷 105-114页

作者： Jing Jiaqiang Qi Hongyuan Jiang Huayi Liang Aiguo Shi Jianying Wang Yulong Sun Nana Zhang Yixiang State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation Southwest Petroleum University Chengdu 610500 Oil&Gas Fire Protection Key Laboratory of Sichuan Province Chengdu 611731 College of Petroleum Engineering Xi’an Shiyou UniversityXi’an 710065 No.1 Production Plant of Xinjiang Oilfield Branch Company Karamay 834000 Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education School of Energy and Power EngineeringXi’an Jiaotong UniversityXi’an 710049

This paper had investigated the effects of surface wettability on the frictional resistance of turbulent horizontal flow for tap water in five pipes made of various materials and four kinds of liquids in a polytetrafluoroethylene(PTFE) pipe,with the same inner diameter of 14 mm. Pressure drops were measured under different flow rates through an experimental flow loop. The contact angles and adhesion work of liquids in contact with pipe surfaces were determined using a contact angle meter. Based on the dimension and regression analyses, two kinds of modified relationships between the frictional coefficient and the surface wettability were established according to the measured results corresponding to tap water in five pipes and four liquids in PTFE pipe. The experimental results show that the surface wettability has some influence on frictional coefficient of the studied liquids flowing in macroscale pipes, and the frictional coefficient decreases with the increase of the contact angle at the same Reynolds number. Meanwhile the effect of wettability on the hydrophobic surface is greater than that on the hydrophilic one. The frictional coefficients predicted by the modified formulas have verified to be in good agreement with the experimental values, the relative errors of which are within ±6% and ±3% for the tap water flowing in five different pipes and four kinds of liquids flowing in PTFE pipe, respectively.

关键词： wettability contact angle frictional coefficient adhesion work fluid mechanics turbulent flow

THE DAMPING EFFECT OF KINK SOLITON WITH frictional TERM

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Chinese Science Bulletin 1989年第21期34卷 1834-1835页

作者：潘祖梁 Zhejiang University Hangzhou 310027 PRC

The Kink soliton in a frictional medium satisfies the

关键词： frictional soliton striking invariant introd letter constants 士一 arbitrary

Simulating frictional contact in smoothed particle hydrodynamics

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Science China(Technological Sciences) 2013年第11期56卷 1779-1789页

作者： WANG Jian WU Hao GU ChongShi HUA Hui National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety Hohai University College of Water Conservancy and Hydropower Engineering Hohai University

Smoothed Particle Hydrodynamics (SPH) is a powerful tool for large deformation computation of soil flow. However, the method to simulate frictional contact in the framework of SPH is still absent and needs to be developed. This paper presents an algorithm to simulate frictional contact between soil and rigid or deformable structure in the framework of SPH. In this algo-rithm, the computational domain is divided into several sub-domains according to the existing contact boundaries, and contact forces are used as bridges of these sub-domains to fulfill problem solving. In the process of the SPH discretization for govern-ing equation of each sub-domain, the inherent problem of boundary deficiency of SPH is handled properly. Therefore, the par-ticles located at contact boundary can have precise acceleration, which is critical for contact detection. Then, based on the as-sumption that the SPH particle of soil can slightly penetrate into the structure, the contact forces along normal and tangential directions of the contact surface are computed by momentum principle, and the frictional force is modified if sliding *** with previous methods, in which only particle-to-particle contact is considered or frictional sliding is just ignored,the method proposed in this study is more efficient and accurate, and is suitable for simulating interaction between soft materi-als and rigid or deformable structures, which are very common in geotechnical engineering. A number of numerical tests have been carried out to verify the accuracy and stability of the proposed algorithm, and the results have been compared with ana-lytical solutions or FEM results. The consistency obtained from these comparisons indicates that the algorithm is robust and can enhance the computing capability of SPH.

关键词： Smoothed Particle Hydrodynamics (SPH) frictional contact penetration boundary deficiency

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