Photoelastic determination of dynamic crack-tip stresses in an anisotropic plate

The paper outlines a technique of determining the dynamic stress-intensity factors (SIFs) in structurally anisotropic composites from photoelastic measurement data. A composite is considered a linear elastic, homogeneous, orthotropic body. An equation is derived that relates the fringe order with the SIFs and the far-field stresses at the tip of a crack, which is parallel to the orthotropy axis __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 95–103, May 2006.     

Stress intensity factors of the eccentric and edge cracked cylinders

Using the single crack solution and the regular solution of harmonic function,thetorsion problem of a cracked cylinder is reduced to solving a set of mixed-type integralequations which can be solved by combining the numerical method of singular integralequation with the boundary element method.Several numerical examples arecalculated and the stress intensity factors are obtained.     

含表面半椭圆裂纹板裂纹尖端应力强度因子的三维光弹分析

本文用三维光弹法得到了含表面半椭圆裂纹板拉伸载荷下应力强度因子 K_Ⅰ沿整个裂纹前缘的分布及由不同裂纹深度引起的有限厚度效应,得到的实验结果与理论结果进行了比较和分析,并对角点上的奇异性进行了定性分析.     

围压与径向荷载共同作用下巴西盘裂纹应力强度因子的解析解

利用权函数法推导了围压和径向荷载共同作用下,考虑裂纹面摩擦的预制裂纹巴西盘应力强度因子计算公式,从理论上分析了围压、径向荷载和裂纹面摩擦对巴西盘应力强度因子的影响。结果表明,围压对I型应力强度因子有很大影响,I型应力强度因子随围压的增大而减小。当裂纹面闭合后围压和摩擦系数对II型应力强度因子同样具有显著影响,考虑裂纹面有效剪应力的权函数法理论解与有限元数值解相吻合,表明理论分析的正确性。     

用光弹性法测定复合应力强度因子

工程结构裂纹尖端应力强度因子(SIF)由于形状、荷载的复杂性及边界条件的不确定性,难以用解析法得到,数值计算也有困难,而光弹性法弥补了上述方法的不足。本文用环氧树脂制作圆轴模型,采用机加工的方法制作圆轴模型裂纹,然后将加载模型进行应力冻结,通过光弹性实验研究分析了圆轴裂纹尖端应力分布。由于带环形裂纹的圆轴在弯扭组合变形时,离中性轴最远的裂纹尖端处于复合裂纹状态,而三维光弹性应力冻结法是测定复杂三维问题复合裂纹的有效方法。本文用双参数法测定I型应力强度因子,用切片逐次削去法测定Ⅲ型应力强度因子,实验误差较小。     

拉伸载荷作用下共面表面裂纹间应力强度因子影响系数的有限元分析

采用参数化有限元方法,结合节点力法和循环迭代算法,对一有限厚矩形板表面有两个相邻共面半椭圆表面裂纹在拉伸载荷作用下进行了求解,得到了两裂纹在不同形状和相隔距离时的应力强度因子的影响系数,计算结果对含三维广布裂纹结构的剩余强度和疲劳寿命有参考意义.     

接管内拐裂纹K_I的光弹测定

接管内拐角部位裂纹的断裂力学分析是很有实际意义的.本文利用三维光弹性冻结切片法对K_I沿平板—接管及圆柱—接管二种模型内拐角裂纹前缘的分布进行了测定,同时,利用所得的实验结果对某些疲劳裂纹扩展现象进行了定性的解释.     

压电薄板板边导电裂纹尖端的力电场分析

采用有限元方法,分析了压电薄板板边不同长度导电裂纹尖端的力电场分布规律,发现导电裂纹尖端的应力场和电场强度存在明显的集中和奇异现象,集中和奇异的程度与裂纹长度有关。而且,在裂纹延长线上分别存在两点,这里的应力和电场对裂纹长度不太敏感,总等于无裂纹时薄板的均匀应力和均匀电场强度;同时,还研究了导电裂纹尖端的应力强度因子和电场强度因子对裂纹长度的依赖关系,发现在线性本构的前提下,导电裂纹尖端的应力强度因子与电场强度因子之间具有近似的线性关系。     

Analysis of complex stress intensities for cracked laminates

ＡＮＡＬＹＳＩＳＯＦＣＯＭＰＬＥＸＳＴＲＥＳＳＩＮＴＥＮＳＩＴＩＥＳＦＯＲＣＲＡＣＫＥＤＬＡＭＩＮＡＴＥＳＨｕＨｕｒａｎｇ（胡互让）;ＷｕＣｈｅｎｇｐｉｎｇ（吴承平）（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌ．ＡｅｒｏｓｐａｃｅａｎｄＭａｎｕｆａ...     

The anti-plane solution for the edge cracks originating from an arbitrary hole in a piezoelectric material

In this paper, a general and simple way was found to solve the problem of an arbitrary hole with edge cracks in transversely isotropic piezoelectric materials based on the complex variable method and the method of numerical conformal mapping. Firstly, the approximate mapping function which maps the outside of the arbitrary hole and the cracks into the outside of a circular hole is derived after a series of conformal mapping process. Secondly, based on the assumption that the surface of the cracks and hole is electrically impermeable and traction-free, the approximate expressions for the complex potential, fields intensity factors and energy release rates are presented, respectively. Thirdly, under the in-plane electric loading together with the out-plane mechanical loading, the influences of the hole size, crack length and mechanical/electric loading on the fields intensity factors and energy release rates are analyzed. Finally, some particular holes with edge cracks are studied in numerical analysis. The result shows that, the mechanical loading always promotes crack growth, while the electric loading may retard crack growth.     

平行裂纹交替作用对应力强度因子的影响

本文研究了多个平行裂纹之间交替作用对应力强度因子的影响.通过光弹性实验测试和有限元计算,对含有双裂纹和三个裂纹的纯弯曲梁进行了探讨,并与单个裂纹的应力强度因子作了比较,从而阐明了多个平行裂纹应力强度因子的一些性质.     

Analysis of energy release rate for cracked laminates

1.IntroductionFailurebehaviorofcompositematerialsandsomeothermaterialslikewoodsandorientedpolymersaregovernedbyanisotropicandheterogeneouscharacteristics(Suoetal.,l99l,O'Brien,l987)I"21.ltiswell-knownthattheelasticstressfieldatthecracktiphasaninversesquarerootsingularityforgenerallyanisotropicbuthomogeneousmaterials(Hoenig,1982)l,l.ForheterogeneousmatCrials,aslongastheelasticmoduliarecontinuousanddifferentiablefunctionsofthespatialcoordinates,thisinversesquarerootsingularitystillprevails(Eis…     

The solution of integral equations with strongly singular kernels applied to the torsion of cracked circular cylinder

In this paper,the functions of warping displacement interruption defined on the crack lines are taken for the fundamental unknown functions.The torsion problem of cracked circular cylinder is reduced to solving a system of integral equations with strongly singular kernels.Using the numerical method of these equations,the torsional rigidities and the stress intensity factors are calculated to solve the torsion problem of circular cylinder with star-type and other different types of cracks.The numerical results are satisfactory.     

Photoelastic experimental hybrid method for fracture mechanics of anisotropic materials

In this paper, the isotropic and anisotropic photoelastic experimental hybrid methods for fracture mechanics are developed. Using the photoelastic experimental hybrid method, it is demonstrated that one can precisely obtain stress intensity factors and separate the stress components of isotropic and anisotropic plate problems from the only isochromatics.     

Fracture analysis for torsion problems of a composite cylinder with curvilinear cracks

The Salnt-Venant torsion problems of a composite cylinder with curvilinear cracks were investigated. By considering the bimaterial interface as a boundary of the outer bar or inner one, the problem was reduced to the solution of boundary integral equations on the crack, external boundary and interface. Using the new boundary element method, some typical torsion problems of a composite cylinder involving a straight or kinked crack were calculated. The obtained results were compared with data in the literature to show validity and applicability of the present method.     

Closed-form weight function for edge crack problems

An accurate crack surface opening displacement formula for edge cracks in finite bodies has been derived, and was subsequently used to develop wide-range closed-form weight functions for edge cracks. The analytical weight function is general and can be easily used to determine accurate stress intensity factors and crack surface opening displacements for arbitrarily loaded edge cracks with high efficiency. Examples have been given for problems of edge crack(s) with a number of typical load conditions for illustration.     

Basic solution of two parallel non-symmetric permeable cracks in piezoelectric materials

The behavior of two parallel non-symmetric cracks in piezoelectric materials subjected to the anti-plane shear loading was studied by the Schmidt method for the permeable crack electric boundary conditions. Through the Fourier transform, the present problem can be solved with two pairs of dual integral equations ip which the unknown variables are the jumps of displacements across crack surfaces. To solve the dual integral equations, the jumps of displacements across crack surfaces were directly expanded in a series of Jacobi polynomials. Finally, the relations between electric displacement intensity factors and stress intensity factors at crack tips can be obtained. Numerical examples are provided to show the effect of the distance between two cracks upon stress and electric displacement intensity factors at crack tips. Contrary to the impermeable crack surface condition solution, it is found that electric displacement intensity factors for the permeable crack surface conditions are much smaller than those for the impermeable crack surface conditions. At the same time, it can be found that the crack shielding effect is also present in the piezoelectric materials.     

Dynamic anti-plane shear of a cracked piezoelectric ceramic

The dynamic theory of antiplane piezoelectricity is applied to solve the problem of a line crack subjected to horizontally polarized shear waves in an arbitrary direction. The problem is formulated by means of integral transforms and reduced to the solution of a Fredholm integral equation of the second kind. The path-independent integral G is extended here to include piezoelectric effects, and is evaluated at the crack tip to obtain the dynamic energy release rate. Numerical calculations are carried out for the dynamic stress intensity factor and energy release rate. The material is piezoelectric ceramic.     

用光弹性方法研究厚壁压力容器内表面裂纹的应力强度因子

本文针对三维裂纹纹尖的应力状态及裂纹表面均匀受压的情况，用应力函数法导出了纹尖近区域应力级数解；用光弹性方法测定厚壁压力容器内表面沿９０°（纵方向），５７°，４１°，２７°，０°（横方向）布置的圆形裂纹应力强度因子Ｋ１，ＫⅡ和ＫⅢ的分布，在光弹分析中引入了二阶非奇异项，并在数据处理中采用了阻尼最小二乘法以获得精度较高的解。