Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates

This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew (PFGS) plates. The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate. A nonlinear finite element (FE) formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory (FSDT) in conjunction with von Karman’s nonlinear strain displacement relations. The governing equations of the PFGS plate are derived using the principle of virtual work. The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations. The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters. The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail.     

Bending and stress analysis of polymeric composite plates reinforced with functionally graded graphene platelets based on sinusoidal shear-deformation plate theory

The bending and stress analysis of a functionally graded polymer composite plate reinforced with gra-phene platelets are studied in this paper. The governing equations are derived by using principle of virtual work for a plate which is rested on Pasternak's foundation. Sinusoidal shear deformation theory is used to describe displacementfield. Four different distribution patterns are employed in our analysis. The analytical solution is presented for a functionally graded plate to investigate the influence of important parameters. The numerical results are presented to show the deflection and stress results of the problem for four employed patterns in terms of geometric parameters such as number of layers, weight fraction and two parameters of Pasternak's foundation.     

Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method

The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous (FGP) variable-thickness plates by using an edge-based smoothed finite element method (ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index (k) and maximum porosity distributions (Ω) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.     

On vibration analysis of functionally graded carbon nanotube reinforced magneto-electro-elastic plates with different electro-magnetic conditions using higher order finite element methods

This article deals with evaluating the frequency response of functionally graded carbon nanotube rein-forced magneto-electro-elastic (FG-CNTMEE) plates subjected to open and closed electro-magnetic cir-cuit conditions. In this regard finite element formulation has been derived. The plate kinematics adjudged via higher order shear deformation theory (HSDT) is considered for evaluation. The equations of motion are obtained with the help of Hamilton's principle and solved using condensation technique. It is found that the convergence and accuracy of the present FE formulation is very good to address the vibration problem of FG-CNTMEE plate. For the first time, frequency response analysis of FG-CNTMEE plates considering the effect of various circuit conditions associated with parameters such as CNT dis-tributions, volume fraction, skew angle, aspect ratio, length-to-thickness ratio and coupling fields has been carried out. The results of this article can serve as benchmark for future development and analysis of smart structures.     

双向受载裂纹板的碳纤维复合材料补片的胶接修补分析

建立了碳纤维复合材料补片胶接修补双向受载裂纹板的3D有限元模型,分析了补片的单面胶接修补效果,探讨了补片材料、铺层顺序、补片长度及载荷比等对裂纹应力强度因子的影响规律。结果表明:复合材料补片的存在使裂纹板垂直裂纹方向载荷和平行裂纹板方向载荷发生耦合作用,从而影响补片修补效果。平行裂纹方向的压应力可降低裂纹尖端的应力集中因子,而拉应力可提高裂纹尖端的应力集中因子。     

含孔洞铜板复合材料修复疲劳寿命数值分析

用ANSYS有限元软件对复合材料修复含中心圆孔钢板的疲劳寿命进行了数值分析。研究了孔洞大小、补片长度、宽度和厚度对钢板疲劳寿命的影响;分析了复合材料胶接修补的效果,并对修复所用的复合材料补片的大小及厚度进行了优化设计。研究结果表明,利用复合材料胶接修补带中心圆孔的钢板可以使其疲劳性能提高1.6~18倍。修补时,增加补片宽度和厚度都可增加结构疲劳寿命;补片宽度为孔径8倍以上时,增加宽度对疲劳寿命影响不大;补片的长度为孔径的3~4倍时,修复效果最佳。     

The deformation and failure mechanism of cylindrical shell and square plate with pre-formed holes under blast loading

The deformation and failure mechanism of cylindrical shells and square plate with pre-formed holes under blast loading were investigated numerically by employing the Ansys 17.0 and Ls-Dyna 971. To calibrate the numerical model, the experiments of square plates with pre-formed circle holes were modeled and the numerical results have a good agreement with the experiment data. The calibrated numerical model was used to study the deformation and failure mechanism of cylindrical shells with pre-formed circle holes subjected to blast loading. The structure response and stress field changing process has been divided into four specific stages and the deformation mechanism has been discussed systematically. The local and global deformation curves, degree of damage, change of stress status and failure modes of cylindrical shell and square plate with pre-formed circular holes are obtained, compared and analyzed, it can be concluded as: (1) The transition of tensile stress fields is due to the geometrical characteristic of pre-formed holes and cylindrical shell with arch configuration; (2) The existence of pre-formed holes not only lead to the increasing of stress concentration around the holes, but also release the stress concentration during whole response process; (3) There are three and two kinds of failure modes for square plate and cylindrical shell with pre-formed holes, respectively. and the standoff distance has a key influence on the forming location of the crack initiating point and the locus of crack propagation; (4) The square plate with pre-formed holes has a better performance than cylindrical shell on blast-resistant capability at a smaller standoff distance, while the influence of pre-formed holes on the reduction of blast-resistant capability of square plate is bigger than that of cylindrical shell.     

A three-stage model for the perforation of finite metallic plates by long rods at high velocities

A three-stage theoretical model is presented herein to predict the perforation of a thick metallic plate struck normally by a long rod at high velocities. The model is suggested on the basis of the assumption that the perforation of a thick metallic plate by a long rod can be divided into three stages: (1) initial penetration; (2) plug formation and (3) plug slipping and separation. Various analytical equations are derived which can be employed to predict the ballistic limit, residual velocity and residual length of the long rod. It is demonstrated that the present model predictions are in good agreement with available experimental results for the perforation of finite steel targets struck normally by steel as well as tungsten alloy long rods at high velocities. It is also demonstrated that the dynamic maximum shear stress of a plate material has strong effect on plug formation and plug thickness which, in turn, exerts considerable influence on the residual velocities and lengths of a long rod at impact velocities just above the ballistic limit.     

物理弱间断线上Ⅲ型斜交裂纹高阶渐近场

针对功能梯度材料层/均匀材料基体的物理弱间断线上斜交裂纹,通过分离变量和级数展开法构造位移函数,求得了裂纹尖端高阶渐近场。其界面裂纹尖端高阶渐近应力场具有与均匀材料相同的r-1/2的奇异性。由高阶项的表达式可知：材料非均匀性对应力场有显著影响。数学上,该解为此类问题的特征函数,能够描述此类材料各种含裂纹结构的整个应力场和位移场,当非均匀参数为零时,它可以退化到均匀材料反平面裂纹问题经典的W il-liam s解。     

Adaptive phasefield modelling of crack propagation in orthotropic functionally graded materials

In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency. The implementation is validated against experimental data and other nu-merical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.     

Effect of functionally-graded interphase on the elasto-plastic behavior of nylon-6/clay nanocomposites; a numerical study

In nanocomposites, the interphase thickness may be comparable to the size of nano-particles, and hence, the effect of interphase layers on the mechanical properties of nanocomposites may be substantial. The interphase thickness to the nano-particle size ratio and properties variability across the interphase thickness are the most important affecting parameters on the overall behavior of nanocomposites. In this study, the effect of properties variability across the interphase thickness on the overall elastic and elasto-plastic properties of a polymeric clay nanocomposite (PCN) using a functionally graded (FG) interphase is investigated in detail. The results of the computational homogenization on the mesoscopic level show that Young's modulus variation of the interphase has a significant effect on the overall elastic response of nanocomposites in a higher clay weight ratio (Wt). Moreover, strength variation through the interphase has a notable effect on the elasto-plastic properties of PCNs. Also, the increase or decrease in stiffness of interphase from clay to matrix and vice versa have a similar effect in the overall behavior of nanocomposites.     

横向运动板对长杆弹侵彻的偏转作用

弹体的攻角直接影响其侵彻能力,而横向运动板能使弹体发生偏转改变攻角,间接影响弹体的侵彻能力。在一定条件下,推导长杆弹在单层横向运动板作用下的偏转模型,并利用有限元仿真软件ANSYS／LS-rDYNA对长杆弹侵彻横向运动板的过程进行数值模拟。通过对偏转模型及仿真结果的分析,发现两者较为相符。研究结果显示：长杆弹侵彻横向运动板时,弹体会发生偏转,偏转的角速度先增后减,最后为0rad／s,此时偏转角最大;弹体速度方向也会发生偏转,其最终偏转角与弹体轴线的偏转角接近。     

Experimental investigation on anti-penetration performance of polyurea-coated ASTM1045 steel plate subjected to projectile impact

In this study, the anti-penetration performance of polyurea/ASTM1405-steel composite plate subjected to high velocity projectile was analyzed. Two kinds of modified polyurea material (AMMT-053 and AMMT-055) were selected and a ballistic impact testing system including speed measuring target system and high-speed camera was designed. This experiment was conducted with a rifle and 5.8 mm projectile to explore the effects by the polyurea coating thickness, the polyurea coating position and the glass-fiber cloth on the anti-penetration performance of polyurea/ASTM1405-steel composite plate. The result showed that the effects of polyurea coating position were different between two types of polyurea, and that the effects of glass-fiber position were disparate between two types of polyurea as well. For AMMT-053 polyurea material, it was better to be on front face than on rear face; whereas for AMMT-055 pol-yurea, it was better to be on rear surface although the difference was very subtle. Additionally, formulas had been given to describe the relationship between the effectiveness of polyurea and the thickness of polyurea coating. In general, AMMT-055 had better anti-penetration performance than AMMT-053. Furthermore, five typical damage modes including self-healing, crack, local bulge, spallation and local fragmentation were defined and the failure mechanism was analyzed with the results of SHPB test. Additionally, the bonding strength played an important role in the anti-penetration performance of polyurea/steel composite plate.     

平板湍流边界层内气泡流流动实验研究

在低湍流度水槽里 ,利用片光源显示了平板气液两相湍流边界层内气泡流的流场结构 ,研究了平板安装位置、来流速度、喷气方式等参数对湍流边界层内气泡流的影响 .利用激光测速技术测量了平板水平放置时气泡流最外缘处的水平速度及厚度 .结果表明 :平板喷气减阻的原因在于喷气改变了平板湍流边界层的流动结构 ,抑制了湍流     

舰用锅炉胀接结构可靠性与后退式胀管器的应用

针对舰用锅炉换热管与管板胀接结构可靠性,分析了影响胀接的主要因素,运用弹性理论对胀接结构进行了理论分析,并首次对舰用锅炉应用双轴承后退式胀管器进行管子与管板试件的胀接试验研究,推导出适合机械式胀接的胀管率近似理论计算方法.     

横向运动板对长杆弹变形及运动影响的数值研究

利用Ls—DYNA软件对钨合金长杆弹垂直侵彻单层和双层横向运动钢板进行了数值计算。通过分析长杆弹的塑性变形、速度降、动能降和横向速度，得到了单层和双层板横向运动速度与影响长杆弹侵彻能力因素的关系。仿真结果表明：随着运动板速度的增加，运动板对长杆弹的侵蚀加剧，长杆弹的速度降、动能降增大；运动板相同速度下，虽然单层板的冲击能使长杆弹获得较大横向速度，但双层板比单层板对长杆弹的干扰效果更明显。     

Influence of a liquid-filled compartment structure on the incoming shaped charge jet stability

Liquid-filled compartment structure consists of a bulk steel plate with matrix blind holes which are filled with liquid and a steel front plate to seal up the liquid with rings and bolts.The liquid-filled compart-ment structure can resist the shaped charge warhead effectively.This paper presents experimental and theoretical investigations of the penetration ability of the residual shaped charge jet emerging from the liquid-filled compartment structure after the penetration process at different impact angles.On the basis of shock wave propagation theory,the influence of the liquid-filled compartment structure on jet sta-bility is analysed.The interferences of the liquid backflow caused by a reflected shock wave and a back plate on jet stability under different impact angles are also examined.In addition,the range of the disturbed velocity segments of the jet at different impact angles and the penetration ability of the re-sidual jet are obtained.A theoretical model is validated against the experimental penetration depths.     

The Early Responses of Air-backed plate subjected to underwater explosion with aluminized explosives

This work aims to research the effects on the early responses of the air-backed plate subjected to the loading generated by the underwater explosion with aluminized explosives. The loading characteristics of underwater explosion for ideal explosive (TNT), aluminized explosives (RS211 and RBUL) are obtained experimentally. The tested aluminized explosives have different energy output compared with TNT. Based on the Taylor plate theory, the early responses of the air-backed steel plate affected by the measured loading is analyzed. The analytical results indicate that the pressure curve of the shock wave within 1 time decay constant is the main factor affecting the kick-off velocity of the plate when cavitation occurring. The velocity responses of the plate produced by the loading of RS211 and RBUL are obviously different with that of an equivalent TNT charge, which also indicates validity and suitability should be noticed in the case of substituting TNT for aluminized explosives. Moreover, the uncertainties in the responses of the plate produced by RS211 and RBUL are much larger than TNT.     

凹槽构型对平板气层减阻影响试验分析

通过平板凹槽喷气减阻模型试验,研究了航速和气流量等因素对平板气层减阻规律的影响,并利用水下摄像系统对不同凹槽构型内的气层形态进行了观测。试验结果表明:不喷气时凹槽的存在会使平板的阻力增加;喷气可以有效减小平板阻力,存在饱和气流量;饱和气流量随着槽深的增加而减小,饱和气流量下平板的绝对减阻率随航速的增加而降低;设置凹槽构型是保持平板下表面气层稳定性的有效措施,合适的凹槽构型可以明显改善平板底部喷气流场,提高平板喷气减阻效果;在Fr为0.119时,饱和气流量下平板的绝对减阻率可以达到40%以上。