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1.
Shielding effect and emission criterion of a screw dislocation near an interfacial blunt crack 下载免费PDF全文
Shielding effect and emission criterion of a screw dislocation near
an interfacial blunt crack are dealt with in this paper. Utilizing
the conformal mapping technique, the closed-form solutions are
derived for complex potentials and stress fields due to a screw
dislocation located near the interfacial blunt crack. The stress
intensity factor on the crack tips and the critical stress intensity
factor for dislocation emission are also calculated. The influence
of the orientation of the dislocation and the morphology of the
blunt crack as well as the material elastic dissimilarity on the
shielding effect and the emission criterion is discussed in detail.
The results show that positive screw dislocations can reduce the
stress intensity factor of the interfacial blunt crack tip
(shielding effect). The shielding effect increases with the increase
of the shear modulus of the lower half-plane, but it decreases with
the increase of the dislocation azimuth angle. The critical loads at
infinity for dislocation emission increases with the increase of
emission angle and curvature radius of blunt crack tip, and the most
probable angle for screw dislocation emission is zero. The present
solutions contain previous results as special cases. 相似文献
2.
Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack 下载免费PDF全文
The interaction between an edge dislocation and a crack
emanating from a semi-elliptic hole is dealt with. Utilizing the
complex variable method, closed form solutions are derived for
complex potentials and stress fields. The stress intensity factor at
the tip of the crack and the image force acting on the edge
dislocation are also calculated. The influence of the morphology of
the blunt crack and the position of the edge dislocation on the
shielding effect to the crack and the image force is examined in
detail. The results indicate that the shielding or anti-shielding
effect to the stress intensity factor increases acutely when the
dislocation approaches the tip of the crack. The effect of the
morphology of the blunt crack on the stress intensity factor of the
crack and the image force is very significant. 相似文献
3.
The interaction between a screw dislocation and an interfacial cruciform crack and collinear linear cracks under loads at infinity was investigated. General solutions of complex potentials to this problem were derived by using complex potential theory. As illustrative examples, the closed form solution for a screw dislocation interacting with an interfacial cruciform crack and a linear crack is obtained. The stress intensity factor and critical stress intensity factor for dislocation emission are also calculated. The results show that the shielding effect increases with the increase of the shear modulus and the distance between the two cracks, but it decreases with the increase of dislocation azimuth and the distance between the dislocation and the cruciform crack tip. The critical loads at infinity for dislocation emission increase with the increment of the emission angle, the distance the two cracks and the vertical length of the cruciform crack. 相似文献
4.
Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole 下载免费PDF全文
The interaction between screw dislocations and two asymmetrical interfacial cracks emanating from an elliptic hole under loads at infinity is studied. The closed-form solution is derived for complex potentials. The stress intensity factor and the critical applied stress for the dislocation emission are also calculated. In the limiting cases, well-known results can be obtained from the present solutions. Moreover, new exact solutions for a screw dislocation interacting with some complicated cracks are derived. The results show that the shielding effect increases with the increase in the length of the other cracks and the minor semi axis, but decreases with the increase of dislocation azimuth. The repulsion acting on the dislocation from the other phase and the other crack extend in the horizontal direction, which makes the dislocation emission at the crack tip take place more easily, but the minor semi axis of the elliptical hole extending in the vertical direction makes it more difficult. 相似文献
5.
6.
Crack-face grain and/or whisker bridging in ceramics was investigated under combined mode-I and mode-II loading. A novel technique for analysing the stress shielding at the crack tip caused by the bridging was proposed, in which the critical values of the local mode-I and mode-II stress intensity factors were numerically derived from an azimuthal angle at the onset of noncoplanar crack extension using the mixed-mode failure criteria. The wedging effect, which induced local mode-I crack opening at the tip, was identified under the combined-mode loading on polycrystalline alumina as well as an alumina matrix composite reinforced with silicon carbide whiskers. The effect was accelerated with the increase in the mode-II component of nominally applied loading and the decrease in the bridging zone length. It was also found that the stress shielding due to the whisker bridging was not only effective for mode-I but also for mode-II crack opening. 相似文献
7.
Elastic behaviour of a wedge disclination dipole near a sharp crack emanating from a semi-elliptical blunt crack 下载免费PDF全文
The interaction between a wedge disclination dipole and a
crack emanating from a semi-elliptic hole is investigated. Utilising
the complex variable method, the closed form solutions are derived
for complex potentials and stress fields. The stress intensity
factor at the tip of the crack and the image force acting on the
disclination dipole center are also calculated. The influence of the
morphology of the blunt crack and the position of the disclination
dipole on the shielding effect to the crack and the image force is
examined in detail. The results indicate that the shielding or
anti-shielding effect to the stress intensity factor increases when
the wedge disclination dipole approaches the tip of the crack. The
effects of the morphology of the blunt crack on the stress intensity
factor of the crack and the image force are very significant. 相似文献
8.
An analytical investigation on the plastic zone size of a crack near a coated circular inclusion under three different loading conditions of uniaxial tension, uniform tension and pure shear was carried out. Both the crack and coated circular inclusion are embedded in an infinite matrix, with the crack oriented along the radial direction of the inclusion. In the solution procedure, the crack is simulated as a continuous distribution of edge dislocations. With the Dugdale model of small-scale yielding [J. Mech. Phys. Solids 8 (1960) p. 100], two thin strips of yielded plastic zones are introduced at both crack tips. Using the solution for a coated circular inclusion interacting with a single dislocation as the Green's function, the physical problem is formulated into a set of singular integral equations. Using the method of Erdogan and Gupta [Q. J. Appl. Math. 29 (1972) p. 525] and iterative numerical procedures, the singular integral equations are solved numerically for the plastic zone sizes and crack tip opening displacement. 相似文献
9.
Thermally activated dislocation emission in high-temperature ferroelectric ceramics is investigated through an assumption of thermal stability and a novel analytical method. The stress intensity factor (SIF) arising from domain switching is evaluated by using a Green's function method, and the critical applied electric field intensity factor (CAEFIF) for brittle fracture at room temperature is obtained. Besides, the lowest temperature for single dislocation emission before brittle fracture is also obtained by constructing an energy balance. The multi-scale analysis of facture toughness of the ferroelectric ceramics at high temperature is carried out. Through the analysis, the CAEFIF for crack extension is recalculated. The results show that the competition and interaction effects between dislocation emission and brittle fracture are very obvious. Besides, the higher critical activation temperature, the more columns of obstacles will be overcome. Additionally, the shielding effect arising from thermally activated dislocations is remarkable, thus, the brittle-ductile transition can promote the fracture toughness of high-temperature ferroelectric ceramics. 相似文献
10.
Thermally activated dislocation emission in high-temperature ferroelectric ceramics is investigated through an assumption of thermal stability and a novel analytical method. The stress intensity factor (SIF) arising from domain switching is evaluated by using a Green's function method, and the critical applied electric field intensity factor (CAEFIF) for brittle fracture at room temperature is obtained. Besides, the lowest temperature for single dislocation emission before brittle fracture is also obtained by constructing an energy balance. The multi-scale analysis of facture toughness of the ferroelectric ceramics at high temperature is carried out. Through the analysis, the CAEFIF for crack extension is recalculated. The results show that the competition and interaction effects between dislocation emission and brittle fracture are very obvious. Besides, the higher critical activation temperature, the more columns of obstacles will be overcome. Additionally, the shielding effect arising from thermally activated dislocations is remarkable, thus, the brittle-ductile transition can promote the fracture toughness of high-temperature ferroelectric ceramics. 相似文献
11.
根据本征方程,研究磁电弹性体中若干平行螺型位错与Griffith裂纹的相互作用.结合Muskhelishvili方法和算子理论,得到磁电弹性体中由位错和裂纹所诱导的应力场、电场和磁场的解析解.数值算例表明:在裂纹的端点及位错点上仍然存在应力的奇异性,离位错点越远处广义力越小,结论与已有的结果相符,证明了结论的正确性.当位错点与裂纹端点距离越近时,裂纹与位错间的应力场越小,并逐渐趋近于零. 相似文献
12.
Luca Cimbaro 《哲学杂志》2019,99(12):1499-1514
A unified theory captures both brittle and ductile fracture. The fracture toughness is proportional to the applied stress squared and the length of the crack. For purely brittle solids, this criterion is equivalent to Griffith's theory. In other cases, it provides a theoretical basis for the Irwin-Orowan formula. For purely ductile solids, the theory makes direct contact with the Bilby-Cottrell-Swinden model. The toughness is highest in ductile materials because the shielding dislocations in the plastic zone provide additional resistance to crack growth. This resistance is the force opposing dislocation motion, and the Peach-Koehler force overcomes it. A dislocation-free zone separates the plastic zone from and the tip of the crack. The dislocation-free zone is finite because molecular forces responsible for the cohesion of the surfaces near the crack tip are not negligible. At the point of crack growth, the length of the dislocation-free zone is constant and the shielding dislocations advance in concert. As in Griffith's theory, the crack is in unstable equilibrium. The theory shows that a dimensionless variable controls the elastoplastic behaviour. A relationship for the size of the dislocation-free zone is derived in terms of the macroscopic and microscopic parameters that govern the fracture. 相似文献
13.
14.
Shielding effect and emission criterion of a screw dislocation near an interracial crisscross crack are dealt with in this paper. Utilizing the conformal mapping technique, the closed-form solutions are derived for complex potentials and stress fields due to a screw dislocation located near the interracial crisscross crack. The stress intensity factor on the crack tips and the critical stress intensity factor for dislocation emission are also calculated. The influence of the orientation of the dislocation and the morphology of the crisscross crack as well as the material elastic dissimilarity on the shielding effect and the emission criterion is discussed in detail. The results show that positive screw dislocations can reduce the stress intensity factor of the interracial crisscross crack tip (shielding effect). The shielding effect increases with the increase of the shear modulus of the lower half-plane, but it decreases with the increase of the dislocation azimuth angle and the distance between the dislocation and the crack tip. The critical loads at infinity for dislocation emission increases with the increase of emission angle and the vertical length of the crisscross crack, and the most probable angle for screw dislocation emission is zero. The present solutions contain previous results as special cases. 相似文献
15.
16.
A theoretical model has been proposed for describing the influence of triple junctions of nanotubes on the strengthening of
a nanocomposite. It has been assumed that the slip of nanotubes along the boundary with the matrix takes place via the nucleation
and glide of prismatic dislocation loops enveloping the nanotubes. These loops are retarded by the triple junctions of nanotubes,
which leads to a strengthening and increase in the fracture toughness (crack resistance) of the nanocomposite. It has been
shown that, in order for the dislocation loop to overcome the triple junction, the shear stress acting on the loop should
exceed a certain critical level. This critical stress increases as the radius and wall thickness of the nanotube decrease.
The inference has been made that the triple junctions of thinnest nanotubes, such as single-walled carbon nanotubes, should
lead to the greatest strengthening and to an increase in the crack resistance of these nanocomposites. 相似文献
17.
The interaction of four parallel non-symmetric permeable cracks in a piezoelectric/piezomagnetic composite plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through a Fourier transform into four pairs of dual integral equations, in which unknown variables are jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relationships among the electric displacement, magnetic flux and stress fields near the crack tips were obtained. The results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the lengths and spacing of cracks. It was also revealed that the crack shielding effect is present in piezoelectric/piezomagnetic composites. 相似文献
18.
E. Tsuchida M. Ohno D. A. Kouris 《Applied Physics A: Materials Science & Processing》1991,53(4):285-291
The problem of an edge dislocation in the vicinity of an elliptical inhomogeneity is solved analytically in the form of infinite series. The inhomogeneous inclusion is assumed to be either perfectly bonded or sliding along the interface with the surrounding matrix. The problem is formulated in terms of Papkovich-Neuber displacement potentials and the results for the perfectly bonded and sliding interface are compared. The effects of the inclusion/matrix shear moduli ratio, inclusion/dislocation relative distance and inclusion aspects ratio on the interface stresses and the dislocation force are evaluated. 相似文献
19.
借助于应变晶体的弹性偶极子模型,把二元晶体中的每一个原子都视为一弹性偶极子。它们有不同的等效偶极矩,在晶体内其他强内应力源,如位错、包裹物等所产生的应力场中受到不同的作用力,因而产生不同的位移,形成了不同形状的畴。它决定于永久偶极矩及感生偶极矩的相对大小和内应力源所产生的应力场的分布。本文分别给出了二元晶体中在刃位错、螺位错、包裹物和挤列等的应力场作用下出现的畴图样。它们呈各种形式排列的花瓣状图形。在适当的条件下,它们可以被观察到。结果还表明了压力对相变的影响。
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