对径受拉圆环的塑性大变形

在线性弹性理论范围内广泛采用所谓小变形假定,因而结构的变形并不影响其承载能力。但如果外载增加到足以使结构发生塑性流动的时候,即使这个结构是由理想塑性材料制成的,也会由于流动引起的几何形状的改变(大变形)而影响其承载能力。 作为一个实例,考虑一个半径为R,厚度为t的矩形截面的理想刚塑性圆环,沿直径方     

基于物理中面FGM简支梁的弯曲行为

基于一阶非线性梁理论,利用物理中面概念导出了FGM梁的基本方程,分析了热载荷作用下简支FGM梁的弯曲行为.当坐标面置于功能梯度材料(FGM)梁的物理中面上时,其本构方程中,面内力与弯矩并不耦合,使得问题的控制方程以及边界条件得以简化.分析中假设功能梯度材料性质只沿梁厚度方向、并按成分含量的幂指数形式变化;利用打靶法数值地求解了所得方程.数值结果表明:热载荷作用下,夹紧FGM梁发生过屈曲变形,而简支梁则发生较为复杂的热弯曲变形;在同一热载荷作用下,简支FGM梁将会产生三种构形问题;剪切变形对夹紧FGM梁的热变形影响比简支梁更明显.     

2D周期蜂窝结构面内静动态压缩力学行为研究

基于``平板开缝-装配-焊接'工艺制备了以高聚物为基体的Kagome等蜂窝结构,并开展了Kagome, 正三角形和菱形蜂窝结构的面内准静态压缩力学行为实验研究,实验过程中应用CCD图像采集系统和图像相关法对试件进行了全场位移监测. 另外对比传统正六边形蜂窝,采用数值分析技术,模拟了低速冲击下不同蜂窝结构坍塌行为. 实验结果和数值模拟均揭示了在材料用量和结构尺寸完全相同的情况下,Kagome蜂窝结构的面内能量吸收性能优于其它3种蜂窝结构,并发现了Kagome蜂窝压缩变形时所特有的局部蜂窝旋转变形. 研究结果表明改变蜂窝形状和周期性排布会对蜂窝结构整体的变形模式以及能量吸收性能产生较大的影响.      

基于水平土拱效应的桩间挡土板土压力计算研究

基于``平板开缝-装配-焊接'工艺制备了以高聚物为基体的Kagome等蜂窝结构,并开展 了Kagome, 正三角形和菱形蜂窝结构的面内准静态压缩力学行为实验研究,实验过程中应用 CCD图像采集系统和图像相关法对试件进行了全场位移监测. 另外对比传统正六边形蜂窝, 采用数值分析技术,模拟了低速冲击下不同蜂窝结构坍塌行为. 实验结果和数值模拟均 揭示了在材料用量和结构尺寸完全相同的情况下,Kagome蜂窝结构的面内能量吸收性能优于 其它3种蜂窝结构,并发现了Kagome蜂窝压缩变形时所特有的局部蜂窝旋转变形. 研究结果 表明改变蜂窝形状和周期性排布会对蜂窝结构整体的变形模式以及能量吸收性能产生较大的 影响.     

热过屈曲功能梯度壁板的气动弹性颤振

功能梯度材料的宏观物理性能随空间位置连续变化,能充分减少不同组份材料结合部位界面性能的不匹配因素.功能梯度壁板用作高速飞行器的热防护结构,能有效消除气动加热带来的壁板内部热应力集中.本文考虑热过屈曲变形引入的结构几何非线性,分析功能梯度壁板的气动弹性颤振边界.基于幂函数材料分布假设,采用混合定律计算功能梯度材料的等效力学性能.根据一阶剪切变形板理论、冯·卡门应变-位移关系和一阶活塞理论,基于虚功原理建立超声速气流中受热功能梯度壁板的非线性气动弹性有限元方程.采用牛顿-拉弗森迭代法数值求解壁板的热屈曲变形,分析超声速气流对热屈曲变形的影响机理.在壁板热过屈曲的静力平衡位置分析动态稳定性,确定了壁板的颤振边界.研究表明,当陶瓷-金属功能梯度壁板的组份材料沿厚度方向梯度分布时,会破坏结构的对称性导致壁板在面内热应力作用下发生指向金属侧的热屈曲变形.超声速气流中壁板热屈曲变形最大的位置随气流速压增大向下游推移,并伴随屈曲变形量的减小.热过屈曲壁板的几何非线性效应会提高壁板的颤振边界,这种影响在高温、低无量纲速压且壁板发生大挠度热屈曲变形时表现显著.较高无量纲气流速压下由于壁板的热屈曲变形被气动力限定在小挠度范围,几何非线性效应不明显.      

多控制面尺寸对前掠翼静气弹响应影响分析

针对多控制面尺寸对弹性前掠翼静气弹响应的影响,基于计算流体力学/计算结构力学(CFD/CSD)松耦合静气动弹性数值计算方法,计算和分析了亚声速条件下前、后缘控制面弦向和展向尺寸对前掠翼模型气动特性和弹性变形特性的影响。计算结果表明:当前缘控制面弦向尺寸增大而后缘控制面弦向尺寸减小时,升力特性在迎角变化呈现相反特性,较小迎角条件下,升力特性逐渐变差,较大迎角条件下变好;当前缘控制面弦向尺寸增大而后缘控制面尺寸减小时,较小迎角条件下弯曲变形和扭转变形减缓,而较大迎角时相反;随着前、后缘控制面展向尺寸的增大,升力系数增大,升力特性提高;当前、后缘控制面展向尺寸逐渐增大时,较小迎角条件下弯曲变形加剧,扭转变形减缓,而较大迎角条件下弯曲和扭转变形均有所减缓。计算分析得到的规律可为前掠翼飞行器的设计及优化提供有益参考。     

双壳船内外壳结构耐撞性试验与仿真研究

结合船舶加筋板结构缩尺模型的耐撞性试验和有限元仿真分析,研究了双壳船舷侧内、外壳结构的碰撞损伤特性,并在此基础上对舷侧内、外壳结构的碰撞损伤性能进行了分析比较.结果表明:虽然双壳船舷侧内、外壳结构在耐碰撞能力方面的差异不是很大,但在渐进破坏过程及其总体破坏模式方面却存在一些明显的区别.而加强筋的侧向挤压变形对加筋板总体碰撞损伤性能并不会产生很明显的影响.影响船体舷侧结构耐撞性能的主要内力要素是加强筋截面内的轴力以及船壳板中面内的膜力.为了提高加筋板结构的耐碰撞能力,就要尽可能地减小结构的局部弯曲变形,较好的设计方案是增加外壳板厚度和减小加强筋尺寸.     

铝面板厚度对Nomex蜂窝夹层结构冲击后弯曲性能影响的试验研究

通过低速冲击试验和四点弯曲试验,研究了铝面板厚度对Nomex蜂窝夹层结构抗冲击能力和剩余强度的影响。结果表明:在冲击荷载作用下,面板发生变形的区域大小随面板厚度增加而变大,当面板厚度大于0.5mm时,变形区域直径趋于稳定;无论试件是否受到过冲击,在弯曲载荷作用下,0.2mm厚面板发生芯格内屈曲失稳,而其他厚度面板均发生格间失稳;对无冲击损伤的结构,0.2mm厚面板弯曲强度显著低于其他厚度面板;对含冲击损伤的结构,0.2mm厚面板的剩余强度百分比最高。     

基于响应面法的复合材料气瓶含缺陷内胆屈曲可靠性分析

具有初始缺陷的内胆会对复合材料气瓶的服役性能造成严重危害,本文基于响应面法,提出了一种复合材料气瓶含初始缺陷内胆屈曲的可靠性分析方法。建立了铝合金6061内胆的T700/环氧复合材料气瓶的三维有限元模型,实现了复合材料气瓶内胆的收缩屈曲分析。基于响应面方法,构造了复合材料气瓶极限状态方程,并假设结构中的随机变量服从高斯分布,开展了考虑几何尺寸和凹陷尺寸变化的气瓶结构可靠性分析,结果表明,在气瓶内胆加工过程中,直筒段厚度的离散性会严重影响气瓶结构的可靠性;直筒段半径、直筒段长度、封头段半径和封头段厚度在通用加工误差内对气瓶结构的可靠性影响较小;对本文定型气瓶,当内胆表面的凹陷半径超过10 mm,且深度超过2 mm时,气瓶结构的可靠性会严重降低。     

傅里叶变换投影栅线法测量大物体的变形

本文利用傅里叶变换投影栅线技术对大物体的离面变形进行了测量，分析了大物体的尺寸给测量过程带来的主要矛盾，讨论了方法的灵敏度和精度，用计算机数值模拟技术给出了大尺寸引起的频率变化所带来的误差。结果表明，傅里叶变换投影栅线技术可以用于大尺寸物体离面变形的精确测量。     

电活性聚合物球壳的力电不稳定性

应用连续介质力学有限变形理论,分析了不可压电活性聚合物球壳在外加电场及内压作用下发生非对称变形的力电不稳定性问题。文中给出了不同外加电场下球壳的变形曲线和应力分布曲线, 结果表明对壁厚小于临界壁厚值的薄壁球壳,当内压大于临界内压值时,球壳可以产生不稳定的非对称变形。文中求得了球壳发生不稳定变形的临界壁厚及临界内压,探讨了外加电场对两个临界值的影响规律,同时讨论了外加电场对球壳中应力分布的影响。     

Mechanics of instability-induced pattern transformations in elastomeric porous cylinders

In this paper, we combine experiments and numerical simulations to investigate the large deformation mechanics of periodically patterned cylindrical structures under uniaxial compression. Focusing on cylinders with a square array of circular pores, we show that their buckling behavior is not only controlled by the porosity (as for the case of the corresponding infinitely large planar structures), but also by the length and thickness of the shell and the number of pores along the full circumference. While infinitely long cylindrical shells only support long wavelength (global) modes, by reducing the length and tuning the thickness, short wavelength (local) modes can be observed. Furthermore, frustrated short wavelength modes are triggered when a local instability is critical, but the buckling pattern is not compatible with the number of pores along the circumference.     

SPONTANEOUS POLARIZATION AND THE DISTRIBUTION OF INTERNAL STRESS ANDELECTRIC FIELDS AROUND A TRIPLE POINT

In this article, distributions of internal stress and internal electric fields around a triple point of ferroelectric polycrystals generated by the spontaneous deformation and spontaneous polarization were investigated. It was found that when all three grains consist of a single domain, the internal stresses and the internal electric fields do not vanish. Though it may be determined according to the principle of energy, the spontaneous configuration will not be unique without involving other conditions due to the symmetry of the crystal structure. Sponsored by National Natural Science Foundation of China(No. 19672053) and Special Funds for Doctoral Programs (No. 96061305).     

Kagome plate structures for actuation

A class of planar, pin-jointed truss structures based on the ancient Kagome basket weave pattern with exceptional characteristics for actuation has been identified. Its in-plane stiffness is isotropic and has optimal weight among planar trusses for specified stiffness or strength. The version with welded joints resists plastic yielding and buckling, while storing minimal energy upon truss bending during actuation. Two plate structures are considered which employ the planar Kagome truss as the actuation plane. It is shown that these plates can be actuated with minimal internal resistance to achieve a wide range of shapes, while also sustaining large loads through their isotropic bending/stretching stiffness, and their excellent resistance to yielding/buckling.     

Zonal disintegration of deep crack-weakened rock masses: A non-Euclidean model

Rock masses are characterized by the existence of distributed joints and fractures. One of behaviors of the deep rock masses is high in situ stresses. The internal space of rock-like materials subjected to high in situ stresses after deformation is treated as a non-Euclidean one. The incompatible deformation of the deep rock masses is induced by high in situ stresses within the framework of non-Euclidean geometric space. A non-Euclidean model in which effects of cracks on zonal disintegration phenomenon of the deep crack-weakened rock masses is taken into account is established. Based on the non-Euclidean model, the elastic stress-field distribution of the deep surrounding rock masses induced by compatible deformation of non-fractured zones and incompatible deformation of fractured zones is determined. The stress intensity factors at the tips of cracks is given out. The strain energy density factor is applied to investigate the occurrence of disintegration zones. It is observed from the numerical results that the magnitude and site of fractured zones depend on the value of in situ stress, mesomechanical parameters and non-Euclidean parameters.     

轴向冲击下圆柱壳非轴对称屈曲耗散能分析

主要研究受轴向冲击圆柱壳非对称屈曲耗能,从轴向屈曲变形、环向屈曲变形和轴向压 缩变形3个角度进行理论推导. 结果表明: 环向屈曲变形能随屈曲折叠边数增加有减小 趋势, 且占总耗能比例很小,可知圆柱壳受轴向冲击屈曲过程中外力做功主要转变为轴向变形 能,环向屈曲变形消耗外力功很少.     

Membrane fusion based on the geometry of the stalk model

It is a commonly accepted assumption that membrane fusion involves an hourglass-shaped local contact between two monolayers of opposing membranes, an intermediate structure called a stalk. The shape of the stalk is considered as an axisymmetrical figure of revolution in 3D space, with a planar geometry in the initial configuration. The total energy of the stalk is evaluated from the assumption that the stalk has a constant curvature. Its negative value due to the presence of spontaneous curvature promotes hemifusion. An extension of the original model developed in Markin and Albanesi [23] is proposed, in which any geometrical feature of the stalks can be expressed in explicit form, by considering the stalks as nodoid surfaces. The local stresses and induced internal moments due the membrane bending are evaluated based on the adopted parameterization.     

表面纳米化吸能薄壁多胞结构的数值模拟与设计

采用局部表面纳米化技术和数值模拟方法,对金属薄壁多胞结构的吸能问题开展有限元数值分析和优化设计.结果 显示,局部表面纳米化布局可诱导结构的屈曲变形,并能大幅度提高结构的能量吸收.优化结果还发现,在多胞外壁呈交错矩形格状表面纳米化格局和内附加结构呈均布框架式矩形格状表面纳米化布局情况下,结构屈曲变形稳定且吸能效果最优.该研究为吸能结构的设计提供了依据.     

Debonding of graded coatings under in-plane compression

Graded materials are multiphase composites with continuously varying thermophysical properties. The concept provides material scientists and engineers with an important tool to develop new materials tailored for some specific applications. One such application of this new class of materials is as top coats or interfacial regions in thermal barrier systems. A widely observed failure mode in these layered materials is known to be interfacial cracking that leads to spallation. In many cases it is the buckling instability of coating under mechanically or thermally induced compressive stresses that triggers spallation. Under in-plane loading since the linear elastic small deformation theory gives only a trivial solution, in this study the plane strain interface crack problem for a graded coating bonded to a homogeneous substrate is formulated by using a kinematically nonlinear continuum theory. Both the instability and the postbuckling problems are considered. The main objective of the study is the investigation of the influence of material nonhomogeneity, kinematic nonlinearity and plate approximation on the critical instability load and on such fracture mechanics parameters as strain energy release rate, stress intensity factors and crack opening displacements.     

受弯脱层层板的局部失稳临界载荷的有限元分析

含脱层的复合材料层板承受弯曲载荷作用会产生跳跃失稳，还常常引起脱层扩展，从而导致结构失效。本文用基于一阶剪切层板理论的几何非线性有限单元法分析了受弯曲曲载荷作用下含脱层板的人稳的临界载荷。本文指出分叉失稳产生了跳跃失稳，而该跳跃失稳与浅圆拱或薄圆柱壳受向心压力作用下的跳跌 同，在整体平衡路径上没有一个极限点。本文对临界载计算结果比使用能量准则的结果要小，文中给出了原因。