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Numerical investigation of the mechanical behavior of the backfill–rock composite structure under triaxial compression 被引量:2
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作者 Hongjian Lu Yiren Wang +2 位作者 Deqing Gan Jie Wu Xiaojun Wu 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2023年第5期802-812,共11页
To ensure safe and economical backfill mining,the mechanical response of the backfill–rock interaction system needs to be understood.The numerical investigation of the mechanical behavior of backfill–rock composite ... To ensure safe and economical backfill mining,the mechanical response of the backfill–rock interaction system needs to be understood.The numerical investigation of the mechanical behavior of backfill–rock composite structure(BRCS)under triaxial compression,which includes deformation,failure patterns,strength characteristics,and acoustic emission(AE)evolution,was proposed.The models used in the tests have one rough interface,two cement–iron tailings ratios(CTRs),four interface angles(IAs),and three confining pressures(CPs).Results showed that the deformation,strength characteristics,and failure patterns of BRCS under triaxial compression depend on IA,CP,and CTR.The stress–strain curves of BRCS under triaxial compression could be divided into five stages,namely,compaction,elasticity,yield,strain softening,and residual stress.The relevant AE counts have corresponding relationships with different stages.The triaxial compressive strengths of composites increase linearly with the increase of the CP.Furthermore,the CP stress strengthening effect occurs.When the IAs are45°and 60°,the failure areas of composites appear in the interface and backfill.When the IAs are 75°and 90°,the failure areas of composites appear in the backfill,interface,and rock.Moreover,the corresponding failure modes yield the combined shear failure.The research results provide the basis for further understanding of the stability of the BRCS. 展开更多
关键词 backfill–rock composite structure triaxial compression mechanical behavior acoustic emission numerical simulation
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Magneto-rheological elastomer (MRE) based composite structures for micro-vibration control 被引量:2
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作者 YQ Ni ZG Ying ZH Chen 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2010年第3期345-356,共12页
Magneto-rheological elastomers (MILEs) are used to construct composite structures for micro-vibration control of equipment under stochastic support-motion excitations. The dynamic behavior of MREs as a smart viscoel... Magneto-rheological elastomers (MILEs) are used to construct composite structures for micro-vibration control of equipment under stochastic support-motion excitations. The dynamic behavior of MREs as a smart viscoelastic material is characterized by a complex modulus dependent on vibration frequency and controllable by external magnetic fields. Frequency-domain solution methods for stochastic micro-vibration response analysis of the MRE-based structural systems are developed to derive the system frequency-response function matrices and the expressions of the velocity response spectrum. With these equations, the root-mean-square (RMS) velocity responses in terms of the one-third octave frequency band spectrum can be calculated. Further, the optimization problem of the complex moduli of the MRE cores is defined by minimizing the velocity response spectra and the RMS velocity responses through altering the applied magnetic fields. Simulation results illustrate the influences of MRE parameters on the RMS velocity responses and the high response reduction capacities of the MRE-based structures. In addition, the developed frequency-domain analysis methods are applicable to sandwich beam structures with arbitrary cores characterized by complex shear moduli under stochastic excitations described by power spectral density functions, and are valid for a wide frequency range. 展开更多
关键词 magneto-rheological elastomer (MRE) micro-vibration control EQUIPMENT composite structure sandwich beam stochastic excitation
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Internal Force Distribution in Steel-Concrete Composite Structure for Pylon of Cable-Stayed Bridge 被引量:5
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作者 蒲黔辉 白光亮 《Journal of Southwest Jiaotong University(English Edition)》 2009年第2期95-101,共7页
Adopting a steel-anchor beam and steel corbel composite structure in the anchor zone on pylon is one of the key techniques for the design of Jintang bridge, a cable-stayed bridge in Zhoushan, China. In order to ensure... Adopting a steel-anchor beam and steel corbel composite structure in the anchor zone on pylon is one of the key techniques for the design of Jintang bridge, a cable-stayed bridge in Zhoushan, China. In order to ensure the safety of the steel-concrete composite structure, a stud connector model for the joint section was put forward. Experiments were conducted to obtain the relation between load and slip of specimen, the failure pattern of stud connector, the yield bearing capacity and ultimate bearing capacity of a single stud, etc. The whole process of the structural behavior of the specimen was comprehensively analyzed. The features of the internal force distribution in the steel-concrete composite structure and the strain distribution of stud connector under different loads were emphatically studied. The test results show that the stud connector is applicable for the steel-concrete composite structure for pylon of Jintang bridge. The stud has a good ductility performance and a obvious yield process before its destruction. The stud connector basically works in a state of elasticity under a load less than the yield load. 展开更多
关键词 Stud connector Experimental research Steel-concrete composite structure Cable-stayed bridge Internal force distribution
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Damage to aircraft composite structures caused by directed energy system: A literature review 被引量:2
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作者 Y.X.Zhang Zhi Zhu +1 位作者 Richardson Joseph Isfakul Jamal Shihan 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第4期1269-1288,共20页
This paper presents a comprehensive review of the research studies on direct energy system effect on aircraft composite structures to develop a good understanding of state-of-the-art research and development in this a... This paper presents a comprehensive review of the research studies on direct energy system effect on aircraft composite structures to develop a good understanding of state-of-the-art research and development in this area.The review begins with the application of composite materials in the aircraft structures and highlights their particular areas of application and limitations.An overview of directed energy system is given.Some of the commonly used systems in this category are discussed and the working principles of laser energy systems are described.The experimental and numerical studies reported regarding the aircraft composite structures subject to the effect of directed energy systems,especially the laser systems are reviewed in detail.In particularly,the general effects of laser systems and the relevant damage mechanisms against the composite structures are reported.The review draws attention to the recent research and findings in this field and is expected to guide engineers/researchers in future theoretical,numerical,and experimental studies. 展开更多
关键词 AIRCRAFT composite structures Damage mechanisms Direct energy system Laser system EXPERIMENT Numerical studies
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Basic Physical Characteristics of the Water-permeable Brick with Composite Structure 被引量:1
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作者 王海峰 LIU Yang MEI Zhen 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2022年第4期645-655,共11页
The resin-sand mixture was proposed to be used as the surface course,and cement permeable concrete was used as the base course;such two kinds of materials were combined to prepare water-permeable brick with a composit... The resin-sand mixture was proposed to be used as the surface course,and cement permeable concrete was used as the base course;such two kinds of materials were combined to prepare water-permeable brick with a composite structure.The compressive strength,flexural strength,and permeability were studied by using adjusting the contents of carbon fiber,quartz powder,cement,sand,and surfactant.The study shows that the hydrophilicity of the resin-sand mixture can be improved after any amount of resin is replaced by quartz powder;by using the surfactant,the interface energy of the particles can be reduced so that the water permeability of the surface course can be promoted effectively.However,the mechanical properties of the surface course were negatively affected by the surfactant.With the optimal process consideration in the experiments,the properties about compressive strength,flexural strength,and permeability of the composite permeable brick can meet the requirements of the specifications of resin-sand based water permeable brick JGT 376-2012(compressive strength was higher than 35 MPa,the flexural strength exceeded 5.19 MPa,and the average permeability coefficient was higher than 2.3×10^(-2)cm/s).There are no obvious pores on the surface course and only water molecules can pass through it,therefore,the surface of the permeable brick cannot be blocked up by solid substances,and the permeability of such permeable brick can be improved effectively in this way. 展开更多
关键词 water-permeable brick RESIN composite structure PERMEABILITY SURFACTANT
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Polarization-Insensitive Magnetic Quadrupole-Shaped and Electric Quadrupole-Shaped Fano Resonances Based on a Plasmonic Composite Structure 被引量:1
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作者 董晨 李宝 +5 位作者 李韩笑 刘慧 陈孟琪 李冬冬 闫长春 张道华 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第7期68-71,共4页
A combined structure with the unit cell consisting of four sub-units with 90° rotation in turn is designed. Each of sub-units is composed of two gold rods in transverse arrangement and one gold rod in longitudina... A combined structure with the unit cell consisting of four sub-units with 90° rotation in turn is designed. Each of sub-units is composed of two gold rods in transverse arrangement and one gold rod in longitudinal arrangement. Simulating electromagnetic responses of the structure, we verify that the structure exhibits the double Fano resonances, which originate from the coupling between magnetic quadrupoles and electric dipoles and the coupling between electric quadrupoles and electric dipoles. Simulation results also demonstrate that the structure is polarization-insensitive and shows an analogue of electromagnetically induced transparency at the two Fano resonances. Such a plasmonic structure has potential applications in photoelectric elements. 展开更多
关键词 of is it in Polarization-Insensitive Magnetic Quadrupole-Shaped and Electric Quadrupole-Shaped Fano Resonances Based on a Plasmonic composite structure MODE that on
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Bilateral Filter for the Optimization of Composite Structures 被引量:1
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作者 Yuhang Huo Ye Tian +2 位作者 Shiming Pu Tielin Shi Qi Xia 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第6期1087-1099,共13页
In the present study,we propose to integrate the bilateral filter into the Shepard-interpolation-based method for the optimization of composite structures.The bilateral filter is used to avoid defects in the structure... In the present study,we propose to integrate the bilateral filter into the Shepard-interpolation-based method for the optimization of composite structures.The bilateral filter is used to avoid defects in the structure that may arise due to the gap/overlap of adjacent fiber tows or excessive curvature of fiber tows.According to the bilateral filter,sensitivities at design points in the filter area are smoothed by both domain filtering and range filtering.Then,the filtered sensitivities are used to update the design variables.Through several numerical examples,the effectiveness of the method was verified. 展开更多
关键词 Design optimization composite structure fiber angle optimization bilateral filtering Shepard interpolation manufacturability constraints
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Inspection interval optimization for aircraft composite structures with dent and delamination damage 被引量:1
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作者 CAI Jing DAI Dingqiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第1期252-260,共9页
The optimization of inspection intervals for composite structures has been proposed,but only one damage type,dent damage,has been addressed so far.The present study focuses on the two main damage types of dent and del... The optimization of inspection intervals for composite structures has been proposed,but only one damage type,dent damage,has been addressed so far.The present study focuses on the two main damage types of dent and delamination,and a model for optimizing the inspection interval of composite structures is proposed to minimize the total maintenance cost on the premise that the probability of structure failure will not exceed the acceptable level.In order to analyze the damage characteristics and the residual strength of the composite structure,the frequency,energy,size,and depth of the damage are studied,and the situation of missing detection during the inspection is considered.The structural residual strength and total maintenance cost are quantified corresponding to different inspection intervals.The proposed optimization method relieves the constraints in previous simulation methods,and is more consistent with the actual situation.Finally,the outer wing of aircraft is taken as an example,and with the historical cases and experimental data,the optimization method is verified.The optimal inspection interval is shorter than the actually implemented inspection interval,and the corresponding maintenance cost is reduced by 23.3%.The result shows the feasibility and effectiveness of the proposed optimization method. 展开更多
关键词 civil aircraft composite structure accidental impact damage failure probability inspection interval
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INFLUENCE OF DAMPING MODELS ON DYNAMIC ANALYSES OF A BASE-ISOLATED COMPOSITE STRUCTURE UNDER EARTHQUAKES AND ENVIRONMENTAL VIBRATIONS 被引量:1
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作者 费一凡 田源 +1 位作者 黄羽立 陆新征 《工程力学》 EI CSCD 北大核心 2022年第3期201-211,共11页
Structural design simultaneously governed by earthquakes and environmental vibrations has received a lot of attention in recent years.Base-isolated composite structures are typically used in the above-mentioned struct... Structural design simultaneously governed by earthquakes and environmental vibrations has received a lot of attention in recent years.Base-isolated composite structures are typically used in the above-mentioned structural design.The corresponding analysis involves validating structural safety under earthquakes and human comfort under environmental vibrations through a time-history analysis.Thus,a reasonable damping model is essential.In this work,the representatives of viscous damping model and rate-independent damping model,namely the Rayleigh damping model and uniform damping model,were adopted to investigate the influence of damping models on the time-history analysis of such structural designs.The energy dissipation characteristics of the above-mentioned damping models were illustrated via a dynamic test of recycled aggregate concrete specimens.A case study was performed on a base-isolated steelconcrete composite structure.The dynamic responses under the excitation of earthquakes and environmental vibrations were compared using different damping models.The uniform damping model was found to be more flexible than the Rayleigh damping model in dealing with excitations with different frequency components.The uniform damping model is both theoretically advantageous and easy to use,demonstrating its potential in dynamic analysis of structures designed simultaneously governed by earthquakes and environmental vibrations. 展开更多
关键词 seismic and environmental vibration analysis Rayleigh damping model uniform damping model seismic isolation composite structure
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Narrow and Dual-Band Tunable Absorption of a Composite Structure with a Graphene Metasurface 被引量:1
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作者 宁仁霞 焦铮 鲍婕 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第10期83-87,共5页
A tunable absorber, composed of a graphene ribbon on two layers of TiO2-Au between two slabs of dielectric material all on a metal substrate, is designed and numerically investigated. The absorption of the composite s... A tunable absorber, composed of a graphene ribbon on two layers of TiO2-Au between two slabs of dielectric material all on a metal substrate, is designed and numerically investigated. The absorption of the composite structure varies with the geometrical parameters of the structure and the physical parameters of graphene at mid-infrared frequencies. The numerical simulation shows that a near-perfect absorption with single and alum bands can be achieved in a certain frequency range. We also analyze the electric and surface current distributions to study the dual-band absorber. The results show that the absorber can be tuned by the chemical potential and electron phonon relaxation time of graphene, and electromagnetically induced transparency phenomenon can be obtained. The results of this study may be beneficial in the fields of infrared communication, perfect absorbers, sensors and filters. 展开更多
关键词 ab Narrow and Dual-Band Tunable Absorption of a composite structure with a Graphene Metasurface THz LiF
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DYNAMIC ANALYSIS OF UNDERGROUND COMPOSITE STRUCTURES UNDER EXPLOSION LOADING
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作者 赵晓兵 薛大为 赵玉祥 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第3期272-278,共7页
In selecting rational types of underground structures resisting explosion,in order to improve stress states of the structural section and make full use of material strength of each part of the section,the research met... In selecting rational types of underground structures resisting explosion,in order to improve stress states of the structural section and make full use of material strength of each part of the section,the research method of composite structures is presented. Adopting the analysis method of micro-section free body,equilibrium equations,constraint equations and deformation coordination equations are given. Making use of the concept of generalized work and directly introducing Lagrange multiplier specific in physical meaning,the validity of the constructed generalized functional is proved by using variation method. The rational rigidity matching relationship of composite structure section is presented through example calculations. 展开更多
关键词 composite structure dynamic analysis rational rigidity matching generalized variation principle
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STOCHASTIC BOUNDARY ELEMENT METHOD FOR RELIABILITY ANALYSIS OF PLATE AND BEAMS COMPOSITE STRUCTURES
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作者 张妃二 袁鸿 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第5期483-491,共9页
In this paper, the reliability of orthotropic plate and beams composite structures, which is under the actions of the stochastic loading and stochastic boundary conditions, have been analyzed by stochastic boundary el... In this paper, the reliability of orthotropic plate and beams composite structures, which is under the actions of the stochastic loading and stochastic boundary conditions, have been analyzed by stochastic boundary element method. First, the boundary integral equation of orthotropic plate and beams composite structures is given in this paper, and then based on the stochastic boundary element method, the method for reliability analysis of stochastic structures is establishes and formulas for computation of reliability index of orthotropic plate and beams composite structures are obtained. The computed examples show the efficient of the method used in this paper. 展开更多
关键词 stochastic boundary element method stochastic loading plate and beams composite structures reliability index
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Broadband topological valley-projected edge-states transport in composite structure phononic crystal
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作者 毛鸿勇 陈福家 +1 位作者 郭凯 郭忠义 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第8期418-423,共6页
The topological valley transport,realized in phononic crystals,has aroused tremendous interest in these years.Many previous researches have further promoted the development of this transport phenomenon.Crucially,the b... The topological valley transport,realized in phononic crystals,has aroused tremendous interest in these years.Many previous researches have further promoted the development of this transport phenomenon.Crucially,the bandwidth of the valley-projected edge mode has been an essential research topic.As is well known,the broadband will improve the adaptability of the acoustic edge-states,which will be more conducive to the transmission of information.Therefore,in this paper,we present a composite structure,composed of the atoms with different shapes forming a hexagonal lattice,which can achieve larger bandwidth than a single structure.Meanwhile,the results demonstrate that the topological protected edge states are also observed in our structure.Furthermore,the backscattering suppressions from associated valley-protected edge states under certain perturbations have also been investigated and demonstrated.Our work can provide a new idea for designing acoustic devices based on valley degree of freedom. 展开更多
关键词 valley transport composite structures broadband edge-states
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A Review of Structural Health Monitoring Techniques as Applied to Composite Structures
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作者 Amafabia,Daerefa-a Mitsheal Montalvao,Diogo +1 位作者 David-West,Opukuro Haritos,George 《Structural Durability & Health Monitoring》 EI 2017年第2期91-147,共57页
Structural Health Monitoring(SHM)is the process of collecting,interpreting and analysing data from structures in order to determine its health status and the remaining life span.Composite materials have been extensive... Structural Health Monitoring(SHM)is the process of collecting,interpreting and analysing data from structures in order to determine its health status and the remaining life span.Composite materials have been extensively use in recent years in several industries with the aim at reducing the total weight of structures while improving their mechanical properties.However,composite materials are prone to develop damage when subjected to low to medium impacts(i.e.1-10 m/s and 11-30 m/s respectively).Hence,the need to use SHM techniques to detect damage at the incipient initiation in composite materials is of high importance.Despite the availability of several SHM methods for the damage identification in composite structures,no single technique has proven suitable for all circumstances.It must be noted that the amount of techniques available nowadays is too extensive to be comprehensively reviewed in a single paper.Therefore,the focus will be on techniques that can serve as a starting point for studies focusing on damage detection,localisation,assessment and prognosis on certain kinds of structures.Thus,the line of thought behind the search and the structure of this review is a result of objectives beyond the scope of the paper itself.Nevertheless,it was considered that,once the above was understood,an updated synopsis such as this could also be useful for other researchers in the same field. 展开更多
关键词 SHM composite structures damage identification failure mechanisms low impact TECHNIQUES
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A FUZZY MODEL FOR THE FAILURE OF COMPOSITE STRUCTURES
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作者 潘敬哲 罗祖道 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第6期537-542,共6页
In this paper, the fuzzy theory is used to describe the uncertainty in failure definition of composite structures. The concept of structural failure level (SFL) is suggested and a method of evaluation is presented.
关键词 A FUZZY MODEL FOR THE FAILURE OF composite structureS SFL
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Li Storage Performance for the Composite Structure Of Graphene and Boron Fullerene
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作者 周详 陈骥 +1 位作者 顾林 缪灵 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第2期99-101,共3页
We study the stability and performance of Li absorption on the composite structure (B80 C72) of boron fullerene and graphene by first-principles calculations. Our results show that the Li storage capacity of the com... We study the stability and performance of Li absorption on the composite structure (B80 C72) of boron fullerene and graphene by first-principles calculations. Our results show that the Li storage capacity of the composite structure is estimated to be at least Li54B80C72, which is steady with improved dispersibility and electronic conductivity. The composite structure could have the potential application as the anode material of Li-ion batteries with high Li storage capacity and great mechanical property. 展开更多
关键词 Li Storage Performance for the composite structure Of Graphene and Boron Fullerene
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On the Impact of Manufacturing Uncertainty in Structural Health Monitoring of Composite Structures: A Signal to Noise Weighted Neural Network Process
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作者 Hessamodin Teimouri Abbas S. Milani +1 位作者 Rudolf Seethaler Amir Heidarzadeh 《Open Journal of Composite Materials》 2016年第1期28-39,共12页
This article investigates the potential impact of manufacturing uncertainty in composite structures here in the form of thickness variation in laminate plies, on the robustness of commonly used Artificial Neural Netwo... This article investigates the potential impact of manufacturing uncertainty in composite structures here in the form of thickness variation in laminate plies, on the robustness of commonly used Artificial Neural Networks (ANN) in Structural Health Monitoring (SHM). Namely, the robustness of an ANN SHM system is assessed through an airfoil case study based on the sensitivity of delamination location and size predictions, when the ANN is imposed to noisy input. In light of the observed poor performance of the original network, even when its architecture was carefully optimized, it had been proposed to weigh the input layer of the ANN by a set of signal-to-noise (SN) ratios and then trained the network. Both damage location and size predictions of the latter SHM approach were increased to above 90%. Practical aspects of the proposed robust SN-ANN SHM have also been discussed. 展开更多
关键词 composite structures Manufacturing Uncertainties Structural Health Monitoring Artificial Neural Networks Signal-to-Noise Weighting
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BOUNDARY ELEMENT METHOD FOR MODEL ANALYSIS OF 2-D COMPOSITE STRUCTURE 被引量:1
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作者 Zou Jing Li Zailiang Zhong Weifang 《Acta Mechanica Solida Sinica》 SCIE EI 1998年第1期63-71,共9页
The boundary element method is used for he modal analysis of freevibration of 2-D composite structures in this paper. Since theparticular solution method is used to treat the terms of body forces(inertial forces) in t... The boundary element method is used for he modal analysis of freevibration of 2-D composite structures in this paper. Since theparticular solution method is used to treat the terms of body forces(inertial forces) in the equation of motion, only static fundamentalsolutions are needed in solving the problem. For an isotropiccantilever beam, the numerical results obtained by using the BEMpresented in this paper are in good agreement, with those of usingFEM or other BEM, but this BEM can also be used to analyze problemsfor anisotropic materials. 展开更多
关键词 composite structure boundary element method particular solution method
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An extended stress-based method for orientation angle optimization of laminated composite structures 被引量:1
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作者 Jin Zhang Wei-Hong Zhang Ji-Hong Zhu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第6期977-985,共9页
Orientation optimization plays an important role in the lay-up design of composite structures.Earlier orientation optimization methods face the main problem of huge number of design variables.Recently,a patch concept ... Orientation optimization plays an important role in the lay-up design of composite structures.Earlier orientation optimization methods face the main problem of huge number of design variables.Recently,a patch concept is proposed to reduce the number of design variables.However,the traditional stress-based method can not deal with patch orientation optimization of composite structures.In this paper,we propose an extended stress-based method to deal with such problems.The considered problems are to minimize the mean compliance under multiple load cases or to maximize the eigenvalues of a composite structure.Four numerical examples are solved to demonstrate the efficiency of the new method.It is shown that the new method has the ability to deal with constraints on orientation angle,such as symmetric,antisymmetric and discrete orientation angle constraints.The iteration is less time-consuming because no sensitivity analysis is needed and a quick convergence rate can be achieved. 展开更多
关键词 Structural optimization compositeS LAMINATES Orientation angle optimization
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A 3-Node Co-Rotational Triangular Finite Element for Non-Smooth,Folded and Multi-Shell Laminated Composite Structures 被引量:1
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作者 Zhongxue Li Jiawei Ji +2 位作者 Loc Vu-Quoc Bassam A.Izzuddin Xin Zhuo 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第11期485-518,共34页
Based on the first-order shear deformation theory,a 3-node co-rotational triangular finite element formulation is developed for large deformation modeling of non-smooth,folded and multi-shell laminated composite struc... Based on the first-order shear deformation theory,a 3-node co-rotational triangular finite element formulation is developed for large deformation modeling of non-smooth,folded and multi-shell laminated composite structures.The two smaller components of the mid-surface normal vector of shell at a node are defined as nodal rotational variables in the co-rotational local coordinate system.In the global coordinate system,two smaller components of one vector,together with the smallest or second smallest component of another vector,of an orthogonal triad at a node on a non-smooth intersection of plates and/or shells are defined as rotational variables,whereas the two smaller components of the mid-surface normal vector at a node on the smooth part of the plate or shell(away from non-smooth intersections)are defined as rotational variables.All these vectorial rotational variables can be updated in an additive manner during an incremental solution procedure,and thus improve the computational efficiency in the nonlinear solution of these composite shell structures.Due to the commutativity of all nodal variables in calculating of the second derivatives of the local nodal variables with respect to global nodal variables,and the second derivatives of the strain energy functional with respect to local nodal variables,symmetric tangent stiffness matrices in local and global coordinate systems are obtained.To overcome shear locking,the assumed transverse shear strains obtained from the line-integration approach are employed.The reliability and computational accuracy of the present 3-node triangular shell finite element are verified through modeling two patch tests,several smooth and non-smooth laminated composite shells undergoing large displacements and large rotations. 展开更多
关键词 Co-rotational approach 3-node triangular finite element laminated composite shells folded and multi-shell structures vectorial rotational variable line integration approach large deformation analysis
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