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Stability of functionally graded hybrid composite plates 功能梯度混合复合材料板的稳定性
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)00036-M
Victor Birman

This paper presents a formulation of the stability problem for a rectangular composite plate reinforced by two types of fibers, one of them being both stiffer and more expensive than the other. An obvious design solution based on cost containment is to concentrate stiffer and more expensive fibers in the area of the plate where they can provide a maximum benefit to its stability. In the present paper, the stiffer fibers replace a certain fraction of “ordinary” fibers in the layers of the plate oriented along the load direction. Moreover, a distribution of the volume fraction of these fibers across the width of the corresponding layers is nonuniform (piece-wise distribution).

The goal is to maximize the buckling load subject to the constraint on the total cross-sectional area of the stiffer fibers. The solution can be obtained exactly by integrating the equation of equilibrium for each plate region where the stiffnesses are constant and satisfying the continuity and boundary conditions. Another approach, which is employed in this paper, is based on the Galerkin procedure. Numerical examples illustrate a possibility of a significant enhancement of the buckling load using functionally graded hybrid composite plates.

本文给出了由两种纤维增强的矩形复合板的稳定性问题的公式,其中一种纤维比另一种纤维更硬且更昂贵。基于成本控制的一个明显的设计解决方案是将更硬和更昂贵的纤维集中在板的区域,在那里它们可以为板的稳定性提供最大的好处。在本文中,在沿荷载方向取向的板层中,较硬的纤维取代了一定比例的“普通”纤维。此外,这些纤维的体积分数在相应层的宽度上的分布是不均匀的(分段分布)。目标是在约束较硬纤维总横截面积的情况下使屈曲载荷最大化。在满足连续条件和边界条件的情况下,对各板刚度恒定区域的平衡方程进行积分,可以得到精确的解。本文采用的另一种方法是基于伽辽金程序。数值算例表明,使用功能梯度混合复合材料板可以显著提高屈曲载荷。
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引用次数: 59
Factors controlling the transverse tensile properties of unidirectional SiC/Ti-6AI-4V 单向SiC/Ti-6AI-4V横向拉伸性能的控制因素
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(94)00095-Q
Dong Sheng Li, Michael R. Wisnom

A parametric study is carried out to investigate various factors that influence the transverse properties of unidirectional SiC/Ti. Interface debonding is the beginning of material failure. It is important because a composite with debonded interfaces is no longer integral and it will be weakened. An interface failure criterion is developed. Selected models are analysed to investigate possible effects on interface failure initiation. The main considerations are the interfacial residual stresses and the stress concentration factors for the applied transverse load. Residual stresses are beneficial for transverse loading because they tend to delay interface debonding. The residual stress distribution is discussed. Increasing the interface strength improves the transverse properties. Decreasing fibre volume fraction by keeping the same fibre spacing and increasing the ply thickness yields higher stress and strain to interface failure. When the volume fraction is kept constant, the closer the fibres are placed, the higher the interface failure stress and strain. With the same model geometry, the interface debonds slightly earlier with rectangular fibre packing than with staggered packing. In most cases, the matrix material is elastic before interface failure initiates. The non-linear stress-strain behaviour is mainly due to interface debonding.

对影响单向SiC/Ti横向性能的各种因素进行了参数化研究。界面脱粘是材料失效的开始。这很重要,因为具有脱粘界面的复合材料不再是完整的,并且会被削弱。提出了界面失效准则。对选定的模型进行分析,以研究可能对界面失效起始的影响。主要考虑的是界面残余应力和施加横向载荷的应力集中系数。残余应力有利于横向加载,因为它们往往会延迟界面的剥离。讨论了残余应力分布。增加界面强度可以改善横向性能。通过保持相同的纤维间距和增加纤维厚度来降低纤维体积分数,会产生更高的界面破坏应力和应变。当体积分数一定时,纤维放置得越近,界面破坏应力和应变越高。在模型几何形状相同的情况下,矩形纤维填充比交错填充界面粘结时间稍早。在大多数情况下,在界面破坏开始之前,基体材料是有弹性的。非线性应力-应变行为主要是由界面剥离引起的。
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引用次数: 13
Analyses of fiber push-out tests performed on Nicalon/SiC composites with tailored interfaces 具有定制界面的Nicalon/SiC复合材料纤维推出试验分析
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)99801-A
C.H. Hsueh , F. Rebillat , J. Lamon , E. Lara-Curzio
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引用次数: 17
A multicontinuum theory for structural analysis of composite material systems 复合材料体系结构分析的多连续统理论
Pub Date : 1995-01-01 DOI: 10.1016/0961-9526(95)00077-Z
A. Hansen, M. Garnich
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引用次数: 19
Transient response of a composite beam subject to elasto-plastic impact 弹塑性冲击下复合梁的瞬态响应
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)00018-I
A.P. Christoforou, A.S. Yigit

An elastic-plastic contact law that includes the effect of permanent deformation in the contact zone is used to study the transient response of a composite beam subject to impact. The governing differential equations are normalized to yield four nondimensional parameters which completely describe the impact event. A modal analysis procedure is used to spatially discretize the normalized boundary value problem to obtain a set of ordinary differential equations which are integrated numerically. Simulation results show that the local permanent deformations significantly affect the impact response. This indicates the importance of using an adequate contact law for an accurate prediction of the impact forces and strains during impact of composite structures.

采用考虑接触区永久变形影响的弹塑性接触律研究了复合梁在冲击作用下的瞬态响应。对控制微分方程进行归一化处理,得到四个能完全描述撞击事件的无量纲参数。采用模态分析方法对归一化边值问题进行空间离散化,得到一组数值积分的常微分方程。仿真结果表明,局部永久变形对冲击响应有显著影响。这表明在复合材料结构的冲击过程中,使用适当的接触律来准确预测冲击力和应变的重要性。
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引用次数: 18
Mechanical properties of fiber glass and Kevlar woven fabric reinforced composites 玻璃纤维和凯夫拉纤维机织增强复合材料的力学性能
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)00100-2
Youjiang Wang, Jian Li, Dongming Zhao

An experimental study was carried out on woven fabric/epoxy composites focusing on their mechanical properties under uniaxial tensile, flexural, compressive, short beam shear and Mode I interlaminar fracture loading conditions. Composites with fiber glass and Kevlar 49 woven fabrics and with different fabric constructions and microfiber additives were investigated. The interlaminar fracture behavior was characterized using double cantilever beam (DCB) test and the fracture mechanism was analyzed by means of scanning electron microscopy (SEM). The mechanical properties were evaluated in uniaxial tension, three-point flexure, compression and short beam shear. The effects of the reinforcing fabric structure and microfiber additives to the matrix on the mechanical behavior and failure mechanisms of the composites were analyzed.

对机织物/环氧复合材料在单轴拉伸、弯曲、压缩、短梁剪切和I型层间断裂加载条件下的力学性能进行了试验研究。研究了玻璃纤维和凯夫拉49机织织物的复合材料,以及不同的织物结构和微纤维添加剂。采用双悬臂梁(DCB)试验表征了层间断裂行为,并通过扫描电镜(SEM)分析了断裂机理。对其单轴拉伸、三点弯曲、压缩和短梁剪切力学性能进行了评价。分析了增强织物结构和基体中添加超细纤维对复合材料力学性能和破坏机理的影响。
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引用次数: 50
High-order bending of sandwich beams with a transversely flexible core and unsymmetrical laminated composite skins 具有横向柔性芯和非对称层压复合材料表皮的夹层梁的高阶弯曲
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)93440-7
Y. Frostig, Y. Shenhar

The bending behavior of a sandwich beam with a “soft” core and unsymmetrical laminated composite skins has been analytically investigated. The effects of the extension-bending coupling caused by the unsymmetrical layups on the bending behavior, are presented. The skins may be made of different materials, different layups, i.e. symmetrical or unsymmetrical, different geometries and may have different boundary conditions (even at the same section). The “soft” core is considered compressible and a change in its height is allowed. The analysis uses variational principles and models the core as a two-dimensional elastic medium, and the skins as one-dimensional composite laminated beams, or a composite panel with cylindrical bending. The analysis is general, rigorous, includes high-order effects and uses closed-form solutions for any type of sandwich construction, for any type of loading and for any combination of boundary conditions. The solutions include the stress and displacement fields along the beam and through the height of the core. Local effects in the vicinity of concentrated loads that consist of dimples and high bending moments in the skins and abrupt changes in the peeling stresses, are studied.

本文对具有“软”芯和非对称层压复合材料表皮的夹层梁的弯曲性能进行了分析研究。讨论了不对称层位引起的伸弯耦合对弯曲性能的影响。皮肤可以由不同的材料,不同的铺层,即对称或不对称,不同的几何形状和可能有不同的边界条件(即使在同一部分)。“软”芯被认为是可压缩的,其高度的变化是允许的。该分析采用变分原理,将核心模型化为二维弹性介质,将表皮模型化为一维复合层合梁或具有圆柱形弯曲的复合板。分析是一般的、严格的,包括高阶效应,并对任何类型的夹层结构、任何类型的载荷和任何边界条件的组合使用封闭形式的解。解包括沿梁和穿过岩心高度的应力场和位移场。研究了集中荷载附近的局部效应,包括皮上的凹窝和高弯矩以及剥离应力的突变。
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引用次数: 77
Composite skin-stiffener debond analyses using fracture mechanics approach with shell elements 基于壳单元断裂力学方法的复合材料蒙皮加筋剥离分析
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(94)00097-S
J.T. Wang, I.S. Raju, D.W. Sleight

Fracture mechanics analyses of composite skin-stiffener debond configurations using shell elements are presented. Two types of debond configurations are studied: a flange skin strip debond configuration and a skin-stiffener debond configuration. The flange-skin strip configuration examines debond growth perpendicular to the stiffener while the skin-stiffener configuration examines debond growth parallel to the stiffener. Four-node and 9-node shell elements are used to model both debond configurations. The stiffener flange and skin are modeled as two different layers of elements whose translational degrees-of-freedom, in the bonded portion, of the corresponding flange and skin nodes are constrained to be identical. Strain energy release rate formulae are presented for both 4-node and 9-node element models based on the virtual crack closure technique (VCCT). In addition, average values of the strain energy release rates are calculated using a gradient method. The VCCT formulae and the gradient method are used to compute the strain energy release rates (G-values) for both debond configurations. The G-values predicted by these methods are compared with those predicted by plane-strain and 3D finite element analyses. Excellent correlation is obtained among all the analysis results, thus helping to validate the VCCT formulae derived for the 4- and 9-node shell elements.

采用壳单元对复合材料蒙皮加筋脱粘结构进行了断裂力学分析。研究了两种剥离形式:翼缘蒙皮带状剥离形式和蒙皮加劲剥离形式。法兰-蒙皮条结构检查垂直于加强筋的剥离生长,而蒙皮-加强筋结构检查平行于加强筋的剥离生长。四节点和九节点壳单元用于模拟这两种剥离配置。加劲翼缘和蒙皮被建模为两层不同的单元,其相应翼缘和蒙皮节点在粘结部分的平移自由度被约束为相同。提出了基于虚拟裂纹闭合技术(VCCT)的4节点和9节点单元模型的应变能释放率公式。此外,采用梯度法计算了应变能释放率的平均值。采用VCCT公式和梯度法计算了两种脱粘构型的应变能释放率(g值)。将这些方法预测的g值与平面应变法和三维有限元法预测的g值进行了比较。各分析结果之间具有良好的相关性,有助于验证4节点和9节点壳单元的VCCT公式。
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引用次数: 26
The general problem of thermoelastic waves in anisotropic periodically laminated composites 各向异性周期性层合复合材料热弹性波的一般问题
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)00087-4
Muhammad A. Hawwa , Adnan H. Nayfeh

The propagation of harmonic waves in a laminated composite consisting of an arbitrary number of layered anisotropic plates is studied. In the context of the generalized theory of thermoelasticity, each layer is allowed to have a monoclinic degree of symmetry in the thermoelastic sense. Waves are allowed to propagate along any angle from the normal to the plates, as well as along any azimuthal angle. The problem is treated analytically using a combination of linear orthogonal transformations and the transfer matrix method to reach the characteristic equation of the composite. Numerical illustrations are given in the form of dispersion and attenuation curves of different representative layering.

研究了由任意数量的各向异性板组成的层状复合材料中谐波的传播。在热弹性广义理论的背景下,每一层在热弹性意义上允许有单斜对称度。波可以沿法线与平板之间的任何角度传播,也可以沿任何方位角传播。利用线性正交变换与传递矩阵法相结合的方法对该问题进行了解析处理,得到了复合材料的特征方程。以不同代表性分层的色散曲线和衰减曲线的形式给出数值说明。
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引用次数: 32
A study on the influence of fiber-matrix interphase properties on ultrasonic wave behavior using effective elastic property models 利用有效弹性特性模型研究纤维-基质界面特性对超声波特性的影响
Pub Date : 1995-01-01 Epub Date: 2008-07-14 DOI: 10.1016/0961-9526(95)00012-C
Krishnan Balasubramaniam, Yuyin Ji, Steven Gardner

In this paper, a three-phase (fiber-interphase-matrix unit cell) micro-mechanics model (Gardner et al. (1993), Comp. Sci. Technol. 46, 307–318) is used to study the influence of fiber-matrix interphase properties on the overall effective elastic constants. Then, the behavior of measurable ultrasonic parameters such as velocities of the three ultrasonic bulk wave modes, and their reflection factor (as a function of wave orientation and frequency) is discussed as a function of interphase properties. Theoretical results are compared with experimental studies on both glass-epoxy and graphite-epoxy composites.

在本文中,一个三相(纤维-相间矩阵单元细胞)微观力学模型(Gardner et al. (1993), Comp. Sci.)。利用technology . 46, 307-318)研究了纤维-基体间相特性对整体有效弹性常数的影响。然后,讨论了可测超声参数的行为,如三种超声体波模式的速度,以及它们的反射因子(作为波的方向和频率的函数)作为界面性质的函数。将理论结果与玻璃-环氧树脂和石墨-环氧复合材料的实验研究结果进行了比较。
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引用次数: 1
期刊
Composites Engineering
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