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1.
Based on the first-order shear deformable beam theory, a refined model for composite beams containing a through-the-width delamination is presented, and the deformation at the delamination front is considered. Different from the ordinary delami- nated beam theory, each of the perfectly bonded portions of the new model is constructed as two separated beams along the interface without assuming a plane section at the de- lamination front. The governing equations of the delaminated portions and bonded ones are established, combined with continuity conditions of displacements and internal forces. Solutions of delaminated composite beams with different boundary conditions, delamina- tion locations and sizes axe shown in excellent agreement with the finite element results, showing efficiency and applicability of the present model. 相似文献
2.
提出一种计算广义平面应交状态下复合材料切口应力奇性指数的新方法.在切口尖端的位移幂级数渐近展开式被引入正交各向异性材料的物理方程后,将用位移表示的应力分量代入切口端部柱状邻域的线弹性理论控制方程,切口应力奇性指数的计算被转化为常微分方程组特征值的求解.采用插值矩阵法求解该常微分方程组,可一次性地获取切口尖端多阶应力奇性指数.本法适合平面和反平面应力场耦合或解耦的情形,并可退化计算裂纹或各向同性材料切口的应力奇性指数.算例表明,所提方法对分析复合材料切口应力奇性指数是一种准确有效的手段. 相似文献
3.
本文将基于Hellinger-Reissner广义变分原理,提出一种分析复合材料缠绕壳结构应力场分析的混合状态Hamilton元半解析法.该方法在周向面内采用有限元离散;而沿径向对状态方程进行解析求解.在求解过程中,采用了传递矩阵技术,以保证层间位移和应力的连续性,并建立了缠绕结构的内、外表面状态变量之间的关系.为此,不论缠绕结构的层数有多少,最后都归结为求解缠绕结构内、外表面未知量.同常规位移有限元法相比,此方法大大地降低了求解未知量的数目.文中还采用Chang F K提出的复合材料缠绕结构的破坏准则,对一在服役工况下具有金属内衬的复合材料缠绕壳典型结构进行了强度校核. 相似文献
4.
《Acta Mechanica Solida Sinica》2015,(6)
The elasto-plastic postbuckling of fiber metal laminated beams with delamination and the energy release rate along the delamination front are discussed in this paper. Considering geometrical nonlinearity, thermal environment and geometrical initial imperfection, the incremental nonlinear equilibrium equations of delaminated fiber metal laminated beams are established,which are solved using the differential quadrature method and iterative method. Based on these,according to the J-integral theory, the elasto-plastic energy release rate is studied. The effects of some important parameters on the elasto-plastic postbuckling behavior and energy release rate of the aramid reinforced aluminum laminated beams are discussed in details. 相似文献
5.
6.
Karel Minnaar 《Journal of the mechanics and physics of solids》2004,52(12):2771-2799
A novel experimental technique is developed for time-resolved detection and tracking of damage in the forms of delamination and matrix cracking in layered materials such as composite laminates. The technique is non-contact in nature and uses dual or quadruple laser interferometers for high temporal resolution. Simultaneous measurements of differential displacement and velocity at individual locations are obtained to analyze the initiation and progression of interfacial fracture and/or matrix cracking/delamination in a polymer matrix composite laminate system reinforced by graphite fibers. The measurements at multiple locations allow the speeds at which interfacial crack front (mode-I) or matrix cracking/delamination front (mode-II dominated) propagates to be determined. Experiments carried out use three-point bend configurations. Impact loading is achieved using a modified Kolsky bar apparatus with a complete set of diagnostics for load, deformation, deformation rate, and input energy measurement. This technique is used to characterize the full process of damage initiation and growth. The experiments also focused on the quantification of the speed at which delamination or damage propagates under primarily mode-I and mode-II conditions. The results show that the speed of delamination (mode-I) or the speed of matrix cracking/delamination (primarily mode-II) increases linearly with impact velocity. Furthermore, speeds of matrix failure/delamination under primarily mode-II conditions are much higher than the speeds of mode-I crack induced delamination under mode-I conditions. 相似文献
7.
In this paper a thick short length hollow cylinder made of functionally graded materials (FGMs) under internal impact loading is considered. The inner surface of the cylinder is pure ceramic, the outer surface is pure metal, and the material composition varies continuously along its thickness. Finite Element Method based on Rayleigh-Ritz energy formulation has been applied to study the propagation of elastic waves in FG thick hollow cylinders. The Newmark direct integration method is applied to solve the time dependent equations. The time histories of displacements, stresses, wave propagation in two directions and velocities of radial stress wave propagation for various values of volume fraction exponent have been investigated. Also by using fast Fourier transform, the first natural frequencies for FG cylinders with simply-simply and clamped-clamped ends conditions are illustrated. The model has been compared with result of a plane strain FG thick hollow cylinder which is subjected to an internal impact loading, and it shows very good agreement. 相似文献
8.
The present paper deals with plane finite element analysis of thick composite tubes. Thick composite tubes are commonly used in marine industry and in deep-water offshore applications. Two kinds of interlaminar delamination type defect in a thick walled cylinder subjected to external pressure were confronted; an annular or ring like delamination and a strip delamination. Two finite element models were developed to predict the strain energy release rate at the delamination fronts. In these models the effects of the processing history of the composite material in the form of a uniform thermal load were also included to simulate the state of the residual stress in the composite. The considered defects are studied by means of the effect of buckling, investigating the annular and the strip delamination buckling, and the subsequent loss of load carrying capacity of the delaminated region. 相似文献
9.
S. Itou 《Archive of Applied Mechanics (Ingenieur Archiv)》2005,75(1):18-30
Stresses are determined for a finite cylindrical crack that is propagating with a constant velocity in a nonhomogeneous cylindrical
elastic layer, sandwiched between an infinite elastic medium and a circular elastic cylinder made from another material. The
Galilean transformation is employed to express the wave equations in terms of coordinates that are attached to the moving
crack. An internal gas pressure is then applied to the crack surfaces. The solution is derived by dividing the nonhomogeneous
interfacial layer into several homogeneous cylindrical layers with different material properties. The boundary conditions
are reduced to two pairs of dual integral equations. These equations are solved by expanding the differences in the crack
surface displacements into a series of functions that are equal to zero outside the crack. The Schmidt method is then used
to solve for the unknown coefficients in the series. Numerical calculations for the stress intensity factors were performed
for speeds and composite material combinations. 相似文献
10.
An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method. The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed. 相似文献
11.
This work examines the effects of manufacturing induced voids on the postbuckling behavior of delaminated unidirectional composites. In the finite element model developed, a through-width delamination is introduced close to one surface of a flat panel, and a void is placed in the delamination plane ahead of each delamination front. The panel is subjected to compression in the fiber direction. The postbuckling delamination growth is studied by calculating the strain energy release rate (SERR) using the virtual crack closure technique. Local stress analyses of the region near the delamination front are also performed to further investigate the void effects. It is found that although the presence of void does not significantly alter the postbuckling transverse displacement of the delaminated panel, the induced stress perturbation by the void affects the SERR. The Mode II SERR as well as the total SERR increase depending on the size of the void and its distance from the delamination front. Since the Mode I SERR shows non-monotonic behavior with the applied load, the effects of voids are studied on its maximum value. 相似文献
12.
A perturbation solution is obtained for the local stress-strain fields in an axially cracked cylindrical shell. The tenth-order differential equations are used that take into account the transverse shear deformation. The perturbation of a curvature parameter, λ, is employed, where
. The stress intensity factors for finite size cylindrical shells subjected to bending and internal pressure are evaluated. Sufficient accuracy can be obtained without using fine mesh sizes in regions near the crack tip. Also analyzed are the influence of cylinder diameter and shearing stiffness on bulging. 相似文献
13.
The piezoelectric phenomenon has been exploited in science and engineering for decades. Recent advances in smart structures
technology have lead to a resurgence of interest in piezoelectricity, and in particular, in the solution of fundamental boundary-value
problems. In this paper, we develop an analytic solution to the axisymmetric problem of an infinitely long, radially polarized,
radially orthotropic piezoelectric hollow circular cylinder. The cylinder is subjected to uniform internal pressure, or a
constant potential difference between its inner and outer surfaces, or both. An analytic solution to the governing equilibrium
equations (a coupled system of second-order ordinary differential equations) is obtained. On application of the boundary conditions,
the problem is reduced to solving a system of linear algebraic equations. The stress distributions in the cylinder are obtained
numerically for two typical piezoceramics of technological interest, namely PZT-4 and BaTiO3. It is shown that the hoop stresses in a cylinder composed of these materials can be made virtually uniform throughout the
cross-section by applying an appropriate set of boundary conditions.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
14.
基于数字散斑相关方法测定Ⅰ型裂纹应力强度因子 总被引:1,自引:0,他引:1
提出了一种通过数字散斑相关方法测定金属材料Ⅰ型裂纹尖端位置和应力强度因子的实验方法.实验采用疲劳试验机对含Ⅰ型缺口的Cr12MoV钢试件预制裂纹,通过数字散斑相关方法测试试件在三点弯曲加载条件下裂纹的扩展过程及裂尖区域的位移场.将位移场数据代入裂尖位移场方程组,采用牛顿-拉普森方法求解含未知参量的裂尖非线性位移场方程组,计算裂尖位置和应力强度因子.实验结果表明,采用该方法可以准确地测定金属材料Ⅰ型裂纹应力强度因子、裂尖位置及裂纹扩展长度,解决了以往研究中因不能准确测定裂纹尖端位置,而无法准确计算Ⅰ型裂纹裂尖断裂参数的难题,揭示了金属材料裂纹扩展过程中应力强度因子演化特征. 相似文献
15.
Rasool Alizadeh Asghar B. Rahimi Nader Karimi Ahmad Alizadeh 《Transport in Porous Media》2017,120(3):579-604
This paper extends the existing studies of heat convection by an external flow impinging upon a flat porous insert to that on a circular cylinder inside a porous medium. The surface of the cylinder is subject to constant temperature and can include uniform or non-uniform transpiration. These cylindrical configurations are introduced in the analyses of stagnation-point flows in porous media for the first time. The equations governing steady transport of momentum and thermal energy in porous media are reduced to simpler nonlinear differential equations and subsequently solved numerically. This reveals the dimensionless velocity and temperature fields of the stagnation-point flow, as well as the Nusselt number and shear stress on the surface of the cylinder. The results show that transpiration on the surface of the cylinder and Reynolds number of the external flow dominate the fluid dynamics and heat transfer problems. In particular, non-uniform transpiration is shown to significantly affect the thermal and hydrodynamic responses of the system in the circumferential direction. However, the permeability and porosity of the porous medium are found to have relatively smaller influences. 相似文献
16.
The mechanical properties of a superconducting composite cylinder with transport current are investigated. By adopting the exponent model, the nonlinear differential equations for flux distributions are derived. The elastic solutions to stress, displacement and magnetostriction are analytically given. Some typical numerical results are displayed. Numerical results show that in the process of transport current reduction, tensile stress generally occurs in the outer region of the composite, and that displacement is always negative in the composite. In addition, as the applied maximal transport current exceeds the outer-cylinder critical current, a hysteresis loop of the magnetostriction exists for the full cycle of the transport current. 相似文献
17.
本文用接触观点分析了复合材料壳体结构的内部分层问题,建立了求解摩擦接触问题的有限元迭代格式,并采用释放率判据分析分层裂纹的扩展。分层裂纹前缘采用轴对称奇异单元,并了结构的大变形特性。计算表明,层间裂纹呈Ⅱ型扩展趋势。本文同时还分析了层间摩擦系数的影响,并指出分层将导致壳体结构承载能力显著下降。 相似文献
18.
An approach is proposed to determine the three-dimensional stress–strain state of hollow orthotropic cylinders with elastic characteristics variable in the circumferential direction. The solution of the problem is represented as a double Fourier series in the axial and circumferential coordinates. A resolving system of ordinary differential equations of high order is derived. An analysis is made of the stress state of a cylinder made of a composite with reinforcement density variable in the circumferential direction 相似文献
19.
E. Schnack S. Dimitrov T.-A. Langhoff 《Archive of Applied Mechanics (Ingenieur Archiv)》2006,76(11-12):747-758
One of the main contemporary challenges facing engineering sciences is how to identify the actual state of internal defects, their self-organized criticality, interaction, and thus influence on the overall strength and durability of a system. In this study we address one aspect in the panoply of problems emerging in this context, namely: how to identify a single delamination in a layered composite specimen performing measurements only on the surface. In rigor terms the answer to this question relates to the answer to the question of how to solve the nonlinear semi-inverse problem of the mathematical programming emerging from the minimization of an associated Kohn–Vogelius functional with respect to some set of design variables parameterizing the delamination region. Clearly, one methodological way to approach the solution is to use some classical, gradient-based, nonlinear programming technique, like SQP. One should not forget, however, that the identification problems of this class are per se ill-posed, nonsmooth, and highly sensitive to the initial boundary data. Three bottlenecks occur that cannot be trivially circumvented when the shape of the delamination region, its characteristic dimensions, and position are preliminarily unknown (or highly uncertain). Based on an appropriate split of the governing Kohn–Vogelius functional we succeed here in transforming the ill-posed local inverse problem into a coupled system of elliptic well-posed Euler–Lagrange equations and to derive a direct smooth iterative strategy for its numerical solution. The strategy leads to a semiempirical reconstruction method for finding isolated interlaminar cavities from the measurement of the displacement field performed on the surface of the specimen. 相似文献
20.
The steady flow and heat transfer of a couple stress fluid due to an inclined stretching cylinder are analyzed. The thermal conductivity is assumed to be temperature dependent. The governing equations for the flow and heat transfer are transformed into ordinary differential equations. Series solutions of the resulting problem are computed. The effects of various interested parameters, e.g., the couple stress parameter, the angle of inclination, the mixed convection parameter, the Prandtl number, the Reynolds number, the radiation parameter, and the variable thermal conductivity parameter, are illustrated. The skin friction coefficient and the local Nusselt number are computed and analyzed. It is observed that the heat transfer rate at the surface increases while the velocity and the shear stress decrease when the couple stress parameter and the Reynolds number increase. The temperature increases when the Reynolds number increases. 相似文献