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The Boundary Element Method for Ordinary State-Based Peridynamics
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作者 Xue Liang Linjuan Wang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第6期2807-2834,共28页
The peridynamics(PD),as a promising nonlocal continuum mechanics theory,shines in solving discontinuous problems.Up to now,various numerical methods,such as the peridynamic mesh-free particlemethod(PD-MPM),peridynamic... The peridynamics(PD),as a promising nonlocal continuum mechanics theory,shines in solving discontinuous problems.Up to now,various numerical methods,such as the peridynamic mesh-free particlemethod(PD-MPM),peridynamic finite element method(PD-FEM),and peridynamic boundary element method(PD-BEM),have been proposed.PD-BEM,in particular,outperforms other methods by eliminating spurious boundary softening,efficiently handling infinite problems,and ensuring high computational accuracy.However,the existing PD-BEM is constructed exclusively for bond-based peridynamics(BBPD)with fixed Poisson’s ratio,limiting its applicability to crack propagation problems and scenarios involving infinite or semi-infinite problems.In this paper,we address these limitations by introducing the boundary element method(BEM)for ordinary state-based peridynamics(OSPD-BEM).Additionally,we present a crack propagationmodel embeddedwithin the framework ofOSPD-BEM to simulate crack propagations.To validate the effectiveness of OSPD-BEM,we conduct four numerical examples:deformation under uniaxial loading,crack initiation in a double-notched specimen,wedge-splitting test,and threepoint bending test.The results demonstrate the accuracy and efficiency of OSPD-BEM,highlighting its capability to successfully eliminate spurious boundary softening phenomena under varying Poisson’s ratios.Moreover,OSPDBEMsignificantly reduces computational time and exhibits greater consistencywith experimental results compared to PD-MPM. 展开更多
关键词 Ordinary state-based peridynamics boundary element method crack propagation fracture toughness
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三维各向同性介质中Eshelby强猜想的受限证明
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作者 袁天宇 黄克服 王建祥 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2023年第6期67-79,共13页
Eshelby在椭球夹杂问题的研究中提出过一个著名的猜想——Eshelby猜想,即椭球是唯一一种能将均匀本征应变转化为均匀弹性应变的夹杂构型,且该类性质被称为Eshelby均匀特性.在后来的研究中,Eshelby猜想被分为强弱两个版本,在三维各向同... Eshelby在椭球夹杂问题的研究中提出过一个著名的猜想——Eshelby猜想,即椭球是唯一一种能将均匀本征应变转化为均匀弹性应变的夹杂构型,且该类性质被称为Eshelby均匀特性.在后来的研究中,Eshelby猜想被分为强弱两个版本,在三维各向同性介质中,Eshelby弱猜想已经得到证明,但Eshelby强猜想仍然悬而未决,其中Ammari等人(2010)仅针对本征应力有三个相同或三个不同特征值的情形证明了强猜想成立.在这项工作中,我们考虑尚未被证明的情形,即本征应力仅有两个相同特征值的情形.首先,我们提出了具有Eshelby均匀特性的夹杂须满足的必要条件.接着,由于该必要条件不足以帮我们判别夹杂构型是否只能为椭球,因此我们额外引入一个与材料常数相关的约束条件,继而基于非相似材料的概念,证明了,在两个非相似各向同性介质中都具有Eshelby均匀特性的夹杂构型只能为椭球。最后,我们提出了一个更具体的强猜想的受限证明,我们约束具有Eshelby均匀特性的夹杂其内部应变场与椭球在相同本征应变下产生的内部应变场相同,继而证明了,对特定本征应力及与本征应力相关的弹性张量的组合,Eshelby强猜想成立.综上,该工作在完全证明三维各向同性介质Eshelby强猜想的探索道路上又向前迈进了一步. 展开更多
关键词 各向同性介质 本征应力 本征应变 材料常数 弹性应变 特征值 相似材料 非相似
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Slip boundary effect on the critical Reynolds number of subcritical transition in channel flow
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作者 Yue Xiao Linsen Zhang Jianjun Tao 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2023年第2期128-131,共4页
In this letter,the effect of slip boundary on the origin of subcritical transition in two-dimensional chan-nel flows is studied numerically and theoretically.It is shown that both the positive and the negative slip le... In this letter,the effect of slip boundary on the origin of subcritical transition in two-dimensional chan-nel flows is studied numerically and theoretically.It is shown that both the positive and the negative slip lengths will increase the critical Reynolds number of localized wave packet and hence postpone the transition.By applying a variable transformation and expanding the variables about a small slip length,it is illustrated that the slip boundary effect only exists in the second and higher order modulations of the no-slip solution,and hence explains the power law found in simulations,i.e.the relative increment of the critical Reynolds number due to the slip boundary is proportional to the square of the slip length. 展开更多
关键词 Subcritical transition Slip length Localized wave packet Channel flow
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Threshold and decay properties of transient isolated turbulent band in plane Couette flow 被引量:1
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作者 Jianzhou LU Jianjun TAO +1 位作者 Weitao ZHOU Xiangming XIONG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第10期1449-1456,共8页
By direct numerical simulations of the plane Couette flow (PCF) in a large computational domain, it is shown that an isolated turbulent band decays monotonically at low Reynolds numbers but experiences transient growt... By direct numerical simulations of the plane Couette flow (PCF) in a large computational domain, it is shown that an isolated turbulent band decays monotonically at low Reynolds numbers but experiences transient growth before the eventual relaminarization at moderate Reynolds numbers. The lower bound Reynolds number of the transient-growth regime is determined as 286. The width, length, and tilt angle of the iso- lated band structure are defined based on the disturbance kinetic energy in the mid-plane, and the geometric characteristics of the band can be described with a tilted rectangle. It is illustrated that before its eventual fragmentation, the isolated turbulent band decays in a style of longitudinal contraction, where the center, width, and tilt angle of the band keep almost constant but the band length contracts with a statistically constant velocity. 展开更多
关键词 plane COUETTE flow (PCF) SUBCRITICAL transition TURBULENT BAND
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Experimental study on the origin of lobe-cleft structures in a sand storm 被引量:1
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作者 Lin-Sen Zhang Jian-Jun Tao +1 位作者 Guo-Hua Wang Xiao-Jing Zheng 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2021年第1期47-52,I0001,共7页
Lobes and clefts are characteristic structures at the front of sand storms.In this paper,their original formation mechanism and geometric features are studied experimentally and theoretically.A rotatable lock-exchange... Lobes and clefts are characteristic structures at the front of sand storms.In this paper,their original formation mechanism and geometric features are studied experimentally and theoretically.A rotatable lock-exchange tank is utilized to avoid the strong local disturbances existing in the conventional horizontal apparatus,and the original lobe size is selected as the dominant spanwise wavelength by a statistical method instead of the mean lobe size used in the literature.It is shown that at the initial formation stage,the measured lobe sizes for different tank geometries and density differences(or Atwood numbers)have a 1/3 scaling law with the Grashof number(Gr)as predicted by a Rayleigh-Taylor(RT)model,especially at moderate Gr range,and substantially depend on the diffusion effect represented by the Schmidt number.Furthermore,using turbulent Schmidt number and eddy viscosity for atmosphere in the RT model predicts large scale dominant lobes,whose sizes agree qualitatively with those observed in a real sand storm,revealing that the underlying control mechanism for these lobe and cleft structures is intrinsically related to the RT instability. 展开更多
关键词 Gravity current Lobe-cleft formation Rayleigh-Taylor instability Sand storm Diffusion effect
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Nonlocal thermo-elastic constitutive relation of fibre-reinforced composites 被引量:1
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作者 Linjuan Wang Jifeng Xu +1 位作者 Jianxiang Wang Bhushan LKarihaloo 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第1期176-187,共12页
The effective properties of composite materials have been predicted by various micromechanical schemes.For composite materials of constituents which are described by the classical governing equations of the local form... The effective properties of composite materials have been predicted by various micromechanical schemes.For composite materials of constituents which are described by the classical governing equations of the local form,the conventional micromechanical schemes usually give effective properties of the local form.However,it is recognized that under general loading conditions,spatiotemporal nonlocal constitutive equations may better depict the macroscopic behavior of these materials.In this paper,we derive the thermo-elastic dynamic effective governing equations of a fibre-reinforced composite in a coupled spatiotemporal integral form.These coupled equations reduce to the spatial nonlocal peridynamic formulation when the microstructural inertial effects are neglected.For static deformation and steady-state heat conduction,we show that the integral formulation is superior at capturing the variations of the average displacement and temperature in regions of high gradients than the conventional micromechanical schemes.The approach can be applied to analogous multi-field coupled problems of composites. 展开更多
关键词 Nonlocal theory THERMOELASTICITY Composite materials Constitutive equations
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Dripping retardation with corrugated ceiling
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作者 Dong LUO Jianjun TAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第8期1165-1172,共8页
The instabilities of a pendent viscous thin film underneath two corrugated ceilings are studied numerically and theoretically in comparison with the case of a flat wall. With the same initial interface perturbations, ... The instabilities of a pendent viscous thin film underneath two corrugated ceilings are studied numerically and theoretically in comparison with the case of a flat wall. With the same initial interface perturbations, it is shown numerically that both the supercritical instability and the subcritical instability can be retarded by the in-phase corrugated ceilings. The lubrication approximation is used to explain the retardation effect of the corrugated ceiling on the supercritical instability of the pendant film, where the linear growth rate is revealed to be power three of the initial film thickness. 展开更多
关键词 pendent film surface tension Rayleigh-Taylor instability(RTI) corrugated wall
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Recent advances on 3D printing graphene-based composites 被引量:7
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作者 Haichang Guo Ruicong Lv Shulin Bai 《Nano Materials Science》 CAS 2019年第2期101-115,共15页
3D printing or additive manufacturing (AM) has revolutionized the way of manufacturing by designing complex structures in a customized feature which cannot be realized by traditional processing methods. Incoming mater... 3D printing or additive manufacturing (AM) has revolutionized the way of manufacturing by designing complex structures in a customized feature which cannot be realized by traditional processing methods. Incoming materials are trying to adopt 3D printing techniques which directly fabricate sophisticated entities with multifunctionality like mechanical, electrical, thermal and magnetic properties etc. For the realization of advanced materials, 3D printing techniques are emerging from single material to composite materials manufacturing by simply introducing the nano- and micro-reinforcements with the matrix. In this review, we provide an outline of 3D printing graphene-based composites according to various AM techniques including fused deposition modeling (FDM), direct ink writing (DIW), stereolithography (SLA) and selective laser sintering (SLS). First a brief introduction of various AM techniques is given to get a basic understanding of the principles of 3D printing, and then the fabrication process, structural characteristics and applications of different 3D printing techniques for graphene-based composites are summarized. In addition, some effective simulation and characterization methods are also included. We hope that this review would clarify the potential of AM techniques for composite materials and can open new prospects for designing of novel materials. 展开更多
关键词 3D PRINTING GRAPHENE COMPOSITES
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In situ mechanical characterization of silver nanowire/graphene hybrids films for flexible electronics 被引量:2
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作者 Ke Cao Haokun Yang +6 位作者 Libo Gao Ying Han Jingyao Feng Hongwei Yang Haiyan Zhang Weidong Wang Yang Lu 《International Journal of Smart and Nano Materials》 SCIE EI 2020年第3期265-276,共12页
Flexible transparent conductive films are indispensable for nowadays wearable electronic devices with various applications.However,existing solutions such as ITO and metal mesh were limited by their poor intrinsic str... Flexible transparent conductive films are indispensable for nowadays wearable electronic devices with various applications.However,existing solutions such as ITO and metal mesh were limited by their poor intrinsic stretching ability.In this work,we designed and fabricated silver nanowires(AgNWs)on graphene hybrid films for enhanced mechanical and electrical performance.In situ TEM characterizations show that,beside conductive paths,silver nanowire network,can also contribute to the toughening mechanisms of the hybrid films.Furthermore,bending and electrical tests were applied to examine the corresponding flexible electronics’perfor-mance.Finally,we showed that the fabrication of our AgNW/graphene hybrid films could be scaled up for large film applications and extended to other 1D/2D hybrid systems. 展开更多
关键词 Silver nanowires GRAPHENE nanomechanics in situ TEM flexible electronics
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