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1.
Theoretical analysis is made on the temperature field at the time of pulse current discharge in a metal structure with an elliptical embedding crack. In finding the temperature field, analogy between the current flow through an elliptical embedding crack and the fluid flow through a barrier is made based on the similarity principle. Boundary conditions derived from this theory are introduced so that the distribution of current density and the temperature field expressions can be obtained. The study provides a theoretic basis to the applications of stopping spatial crack with electromagnetic heating. 相似文献
2.
裂纹止裂技术是当前工业生产和实际应用中急需解决的关键问题;利用电磁热效应对带有裂纹的金属构件进行止裂,是达到延长工作寿命、提高安全性可靠性的一种行之有效的方法;本文采用有限元方法研究了带有半埋藏环形裂纹的轴对称GCr15凹模电磁热局部跨越止裂;建立了超强脉冲电流放电瞬间,环形裂纹尖端附近电场、温度场和热应力场的耦合关系。数值模拟分成热-电耦合(焦耳热问题)和热-机械耦合两个过程来实现,通过数值解析轴对称模型,给出了脉冲放电瞬间GCr15凹模中的电流-温度-热应力的求解过程,得到了脉冲放电瞬间半埋藏环形裂纹局部跨越止裂时凹模的温度场和热应力场。数值模拟研究结果表明:由于热集中效应,在放电瞬间裂纹尖端金属熔化,并形成局部堆焊,阻止了干线裂纹源的开裂,达到了止裂的目的。 相似文献
3.
带有半埋藏空间裂纹的Cr12构件电磁热止裂分析 总被引:3,自引:0,他引:3
对带有半埋藏环形裂纹的Cr12标准拉伸试件进行了电磁热止裂研究.通过ZL-2型放电装置实现了半埋藏空间裂纹的止裂实验,采用微机控制电子万能试验机完成了止裂前后试件拉伸性能测试,同时计算了电磁热止裂前后应力强度因子的变化;建立了超强脉冲电流放电瞬间,环形裂纹尖端附近电流绕流、温度场和热应力场的数值分析模型,通过热-电耦合和热-机械耦合两个过程得到了脉冲放电瞬间拉伸试件中的电流矢量场、温度场和热应力场.研究表明:脉冲电流放电瞬间,围绕裂纹尖端金属熔化,钝化了裂尖,并围绕裂尖形成了热压应力场,得到了超细化的金属组织,止裂后抗拉强度得到了提高,达到了止裂的目的. 相似文献
4.
R. I. Kadiev V. M. Mirsalimov 《Journal of Applied Mechanics and Technical Physics》2005,46(1):108-116
This paper considers local temperature variations near the tip of a crack in the presence of regions in which the crack faces interact. It is assumed that these regions are adjacent to the crack tip and are comparable in size to the crack size. The problem of local temperature variations consists of delay or retardation of crack growth. For a crack with connections between the crack faces subjected to external tensile loads, an induced thermoelastic stress field, and the stresses at the connections preventing crack opening, the boundary-value problem of the equilibrium of the crack reduces to a system of nonlinear singular integrodifferential equations with a Cauchy kernel. The normal and tangential stresses at the connections are found by solving this system of equations. The stress intensity factors are calculated. The energy characteristics of cracks with tip regions are considered. The limiting equilibrium condition for cracks with tip regions is formulated using the criterion of limiting stretching of the connections.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 133–143, January–February, 2005 相似文献
5.
Summary The aim of this work is to investigate the thermal stress intensity factor of a functionally gradient half space with an edge crack under a steady heat flux. All material properties of the functionally gradient half space, except for the coefficient of linear thermal expansion, are exponentially dependent on the distance from the boundary of the plate. The coefficient of linear thermal expansion is assumed to be two-dimensionally dependent. The problem is reduced to a singular integral equation by using the Fourier transform. The thermal stress intensity factor versus the nonhomogeneous material parameters is calculated and represented in figures. The numerical results show that thermal stress intensity factor is dramatically decreased when the material nonhomogeneous parameters are appropriately selected. 相似文献
6.
7.
A crack terminating at an interface of two dissimilar elastic materials is investigated. It is found that the asymptotic stress
field near the crack tip is in general composed of two parts with each part being characterized by one singularity. The detailed
relation of the two singularities with the bimaterial properties is given for some special cases of the crack. 相似文献
8.
M.K. Huang Y.B. Huang R.C. Tian Q. Xie 《Theoretical and Applied Fracture Mechanics》2011,55(3):222-226
A suitable elastic stress field near the crack line which satisfied the far field boundary conditions and the boundary conditions of the crack surfaces has been obtained and successful analysis has been made of a near crack line field for an infinite elastic-perfectly plastic medium containing a quasi-statically propagating plane stress crack subjected to far field shear stress. It is shown that the solutions of the problem of mode II crack loaded by remote shear stress from the Westergaard method in some previous papers is used as the elastic stress field near the crack line, are inappropriate. 相似文献
9.
EXACT SOLUTIONS OF NEAR CRACK LINE FIELDS FOR MODE I CRACK UNDER PLANE STRESS CONDITION IN AN ELASTIC-PERFECTLY PLASTIC SOLID 总被引:1,自引:1,他引:1
EXACTSOLUTIONSOFNEARCRACKLINEFIELDSFORMODEICRACKUNDERPLANESTRESSCONDITIONINANELASTIC-PERFECTLYPLASTICSOLIDEXACTSOLUTIONSOFNEA... 相似文献
10.
The problem of a Griffith crack in an unbounded orthotropic functionally graded material subjected to antipole shear impact was studied. The shear moduli in two directions of the functionally graded material were assumed to vary proportionately as definite gradient. By using integral transforms and dual integral equations, the local dynamic stress field was obtained. The results of dynamic stress intensity factor show that increasing shear moduli’s gradient of FGM or increasing the shear modulus in direction perpendicular to crack surface can restrain the magnitude of dynamic stress intensity factor. 相似文献
11.
刘汉池 《应用数学和力学(英文版)》1995,16(8):779-789
This paper studies the stress-strain field near crack tip in a pure bending beam of rectangular section with one-sided mode
I crack by the analytic method of Ref. [1], then it gives the stress and strain components at the crack tip when the crack
propagates and further it obtains the formulas of calculating the elastic deformed area width, the deformed intensity area
width and the equation groups of calculating the critical stress of crack propagation, last the equation group of calculating
critical stress of crack propagation is verified by calculating instance. The maximum error is 0.18%.
First Received May 7, 1994. 相似文献
12.
Adopting the complex function approach, the paper studies the stress intensity factor in orthotropic bi-material interface cracks under mixed loads. With consideration of the boundary conditions, a new stress function is introduced to transform the problem of bi-material interface crack into a boundary value problem of partial differential equations. Two sets of non-homogeneous linear equations with 16 unknowns are constructed. By solving the equations, the expressions for the real bi-material elastic constant εt and the real stress singularity exponents λt are obtained with the bi-material engineering parameters satisfying certain conditions. By the uniqueness theorem of limit,undetermined coefficients are determined, and thus the bi-material stress intensity factor in mixed cracks is obtained. The bi-material stress intensity factor characterizes features of mixed cracks. When orthotropic bi-materials are of the same material, the degenerate solution to the stress intensity factor in mixed bi-material interface cracks is in complete agreement with the present classic conclusion. The relationship between the bi-material stress intensity factor and the ratio of bi-material shear modulus and the relationship between the bi-material stress intensity factor and the ratio of bi-material Young's modulus are given in the numerical analysis. 相似文献
13.
讨论了载荷作用在裂纹面上的弹性半平面边界裂纹问题.研究以线弹性断裂力学为基础,采用复变函数方法以及Riemann-Hilbert(R-H)边值问题的一般理论,将问题分拆为含有限裂纹的全平面问题与无裂纹的半平面问题的叠加,计算得到裂纹尖端的应力强度因子.与文献结果比较,该方法具有精度高的优点. 相似文献
14.
本文采用一种改进的权函数法来计算焊接节点半椭圆表面裂纹应力强度因子KI值,并给出了相应的数值处理方法,就T型板节点进行了数值验算。 相似文献
15.
Electroelastic behavior of a cracked piezoelectric ceramics plate subjected to four cases of combined mechanical-electrical
loads is analyzed. The integral transform method is applied to convert the problem involving an impermeable anti-plane crack
to dual integral equations. Solving the resulting equations, the explicit analytic expressions for electroelastic field along
the crack line and the intensity factors of relevant quantities near the crack tip and the mechanical strain energy release
rate are obtained. The known results for an infinite piezoelectric ceramics plane containing an impermeable anti-plane crack
are recovered from the present results only if the thickness of the plate h → ∞.
Biography: LI Xian-fang (1964-) 相似文献
16.
C. Guo X.P. Zhou Y.X. Zhang H.Q. Yang X.H. Li 《Theoretical and Applied Fracture Mechanics》2009,51(3):174-180
The near crack line analysis method is used to investigate an eccentric crack loaded by shear forces in a finite width plate, and the analytical solution is obtained in this paper. The solution includes: the unit normal vector of the elastic–plastic boundary near the crack line, the elastic–plastic stress fields near crack line, variations of the length of the plastic zone along the crack line with an external loads, and the bearing capacity of a finite plate with a centric crack loaded by shear stress in the far field. The results obtained in this paper are sufficiently precise near the crack line because the assumptions of small scale yielding theory have not been made and no other assumptions have been taken. Subsequently, the present results are compared with the traditional line elastic fracture mechanical solutions and elastoplastic near field solutions under small scale yielding condition. On the basis of the minimum strain energy density (SED) theory, the minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. It is found that the normalized load under large scale yielding condition is higher than those under small scale yielding condition when the length of the plastic zone is the same. 相似文献
17.
IntroductionDuetotheintrinsiccouplingcharacteristicsbetweenelectricandelasticbehaviors,thatis,appliedmechanicalloadingproduceselasticdeformation ,aswellaselectricfield ,andconverselyelectricfieldcangiverisetoelasticdeformation ,piezoelectricmaterialshave… 相似文献
18.
Interface crack-tip generalized stress field and stress intensity factors in transversely isotropic piezoelectric bimaterials 总被引:2,自引:0,他引:2
Transversely isotropic piezoelectric (TIP) bimaterials with an impermeable interface crack have been classified [Int. J. Frac. 119 (2003) L41] into two classes corresponding to the vanishing of the two singularity parameters or κ. It is shown in the present paper that the related eigenvalue problems for either =0 or κ=0 are not degenerate. The crack-tip generalized stress fields are obtained subsequently. A new definition of crack-tip intensity factors is presented for interface cracks in practical TIP bimaterial of practical interest. Such defined intensity factors are real numbers, which dominate the maximum crack-tip stress singularity and do not generate any phase angle change under any dimension system transformation for physical quantities. 相似文献
19.
Modeling crack growth during Li insertion in storage particles using a fracture phase field approach
Fracture of storage particles is considered to be one of the major reasons for capacity fade and increasing power loss in many commercial lithium ion batteries. The appearance of fracture and cracks in the particles is commonly ascribed to mechanical stress, which evolves from inhomogeneous swelling and shrinkage of the material when lithium is inserted or extracted. Here, a coupled model of lithium diffusion, mechanical stress and crack growth using a phase field method is applied to investigate how the formation of cracks depends on the size of the particle and the presence or absence of an initial crack, as well as the applied flux at the boundary. The model shows great versatility in that it is free of constraints with respect to particle geometry, dimension or crack path and allows simultaneous observation of the evolution of lithium diffusion and crack growth. In this work, we focus on the insertion process. In particular, we demonstrate the presence of intricate fracture phenomena, such as, crack branching or complete breakage of storage particles within just a single half cycle of lithium insertion, a phenomenon that was only speculated about before. 相似文献
20.
Using the complex variable function method and the technique of the conformal mapping, the fracture problem of a semi-infinite crack in a piezoelectric strip is studied under the anti-plane shear stress and the in-plane electric load. The analytic solutions of the field intensity factors and the mechanical strain energy release rate are presented under the assumption that the surface of the crack is electrically impermeable. When the height of the strip tends to infinity, the analytic solutions of an infinitely large piezoelectric solid with a semi-infinite crack are obtained. Moreover, the present results can be reduced to the well-known solutions for a purely elastic material in the absence of the electric loading. In addition, numerical examples are given to show the influences of the loaded crack length, the height of the strip, and the applied mechanical/electric loads on the mechanical strain energy release rate. 相似文献