共查询到20条相似文献,搜索用时 31 毫秒
1.
O. V. Menshykov M. V. Menshykova W. L. Wendland 《International Applied Mechanics》2005,41(11):1324-1329
The problem of contact interaction of the opposite faces of a linear crack under a normally incident harmonic tension-compression
wave is numerically solved by the Galerkin method with piecewise-linear continuous elements. The dependence of the stress
intensity factor (opening mode) on the wave number is investigated
Published in Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 137–142, November 2005. 相似文献
2.
V. M. Tikhomirov 《Journal of Applied Mechanics and Technical Physics》2008,49(5):864-871
Crack propagation under alternating loading is investigated. Relations between the growth rate of a fatigue defect and loading
parameters and the expression for the stress intensity factor are derived for compression of a cracked solid taking into account
the possible contact of the crack faces. A model for the deformation of a small region near the crack tip is proposed which
allows one to formulate the conditions of residual opening of a growing fatigue crack. The experimental data obtained in tests
of steel samples are compared with the results of calculation using the developed procedure.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 190–198, September–October, 2008. 相似文献
3.
V. V. Mykhas’kiv I. Ya. Zhbadynskyi 《Journal of Applied Mechanics and Technical Physics》2008,49(3):510-518
The dynamic behavior of a circular crack in an elastic composite consisting of two dissimilar half-spaces connected by a thin
compliant interlayer is studied. One half-space contains a defect aligned perpendicular to the interlayer; the defect surfaces
are loaded by normal harmonic forces, which ensures the symmetry of the stress-strain state. The thin interlayer is modeled
by conditions of a nonideal contact of the half-spaces. The problem is reduced to a boundary integral equation with respect
to the function of dynamic opening of the defect. The numerical solution of this equation yields frequency dependences of
the mode I stress intensity factor in the vicinity of the crack for different values of interlayer thickness and relations
between the moduli of elasticity of the composite components.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 3, pp. 197–207, May–June, 2008. 相似文献
4.
E. M. Rudoy 《Journal of Applied Mechanics and Technical Physics》2008,49(5):832-845
A problem of equilibrium of a cracked plate is considered within the framework of the Kirchhoff-Love model. Non-penetration
conditions in the form of inequalities (Signorini-type conditions) are set on the crack faces. The behavior of the energy
functional is studied for the case of a rather smooth perturbation of the domain of the general form. Sufficient conditions
for the existence of the energy functional derivative with respect to the parameter of domain perturbation are derived.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 153–168, September–October, 2008. 相似文献
5.
I. I. Mykhailova O. V. Menshykov I. A. Guz 《Archive of Applied Mechanics (Ingenieur Archiv)》2011,81(9):1215-1230
In this paper, the problem of two equal coplanar cracks with allowance for the crack faces contact interaction was investigated.
The problem of the cracks located in homogeneous, isotropic, and linearly elastic solid subjected to normally incident tension–compression
wave is solved by the boundary integral equations method. The influence of the distance between two cracks on the stress intensity
factors (opening mode and transverse shear mode) is studied for a range of wave numbers. The results are compared with those
obtained neglecting cracks’ closure. 相似文献
6.
G. V. Gavrilov 《International Applied Mechanics》2010,46(4):422-428
The paper addresses subcritical growth of a crack in a thin isotropic plate made of an aging viscoelastic material with time-dependent
elastic modulus. The behavior of the material is described by Arutyunyan’s creep theory. To simulate fracture, a modified
Leonov–Panasyuk–Dugdale model and a critical crack opening displacement criterion are used. An equation describing the subcritical
growth of the crack is derived assuming that Poisson’s ratio is constant. As an example, the critical loads are determined,
and curves of subcritical crack growth are plotted for a specific material. The results are compared with the case of constant
elastic modulus 相似文献
7.
N. M. Borodachev 《International Applied Mechanics》2007,43(8):849-864
A review is made of studies on the variational formula for a body with a crack, asymptotic expansions, weight functions, and
displacements of crack faces
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 8, pp. 30–46, August 2007. 相似文献
8.
The paper studies the subcritical stable growth of a penny-shaped mode I crack in an aging linear viscoelastic body with cylindrical
anisotropy under tensile loads applied at infinity. The equations of quasistatic crack growth are derived using the Volterra
principle for a modified Dugdale model and the critical crack opening displacement as a failure criterion. The kernel of the
operator that describes the viscoelastic crack opening is found using operator-valued continued fractions. As an example,
the subcritical stable growth of a crack in a specific material is studied numerically
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 1, pp. 82–92, January 2007. 相似文献
9.
In the present paper, we consider the strain analysis near the crack parallel to boundary surfaces of a linear isotropic elastic
layer of constant thickness. We pose the problem of minimizing the opening of crack faces when a normal force is applied to
the boundary of the layer. The control secondary loading is a normal stress uniformly distributed over the boundary surfaces
as to oppose the opening caused by the external applied force. We show that the most dangerous are tangential deformations,
and the normal ones are always by many times less dangerous.
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Published in Neliniini Kolyvannya, Vol. 8, No. 2, pp. 265–277, April–June, 2005. 相似文献
10.
M. V. Mir-Salim-zade 《Journal of Applied Mechanics and Technical Physics》2008,49(6):1030-1039
A problem of fracture mechanics on crack nucleation in a reinforced plate attenuated by a periodic system of circular holes
is considered. Crack nucleation is modeled by a pre-fracture band in the plastic flow state with a constant stress, which
is considered as a region of attenuated bonds between material particles. Determining unknown parameters characterizing the
emerging crack reduces to solving a singular integral equation. The condition of crack emergence is formulated with allowance
for the criterion of the limiting opening of the faces of the material pre-fracture band.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 6, pp. 170–180, November–December, 2008. 相似文献
11.
V. V. Zozulya 《International Applied Mechanics》2007,43(5):586-590
The contact-interaction problem for a stationary plane crack with friction between its edges under the action of a normal
(to the crack plane) harmonic shear wave is addressed. Antiplane deformation conditions are considered. The distribution of
contact forces and displacement discontinuity of crack edges are studied
Published in Prikladnaya Mekhanika, Vol. 43, No. 5, pp. 138–142, May 2007. 相似文献
12.
A conjugate electroelastic field in a piezoceramic cylinder with a parabolic crack under static loading is investigated. Uniformly
tensile stresses and an electric potential are applied to the end faces of the cylinder. The following two types of electric
conditions are considered at the crack boundary: the electric potential is continuous across the crack and the normal component
of the electric-displacement vector on the crack surface is equal to zero. For each of these cases, expressions for some quantities
characterizing the disturbed field in the crack plane and formulas to calculate the stress intensity factors are presented.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 3, pp. 72–80, March, 2000. 相似文献
13.
V. A. Saraikin 《Journal of Applied Mechanics and Technical Physics》1999,40(5):903-907
Equations are derived for stress concentration near a crack of closed contour lying in a plane. A system of one-dimensional
integral equations for the concentration factor is obtained. The right sides of the equations contain the initial approximation—a
solution of the problem of a circular crack whose sides are acted upon by nonaxisymmetric loading.
Mining Institute, Siberian Division, Russian Academy of Sciences, Novosibirsk 630091. Translated from Prikladnaya Mekhanika
i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 143–148, September–October, 1999. 相似文献
14.
The axisymmetric problem of stress concentration near a conical crack in an infinite elastic space with a rotation center
is addressed. The problem is reduced to an integro-differential equation. Its exact solution is obtained. An expression for
the stress intensity factor in crack neighborhood is derived and numerically analyzed for different positions of the rotation
center and the crack opening angles
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 99–107, February 2007.
For the centenary of the birth of G. N. Savin. 相似文献
15.
The paper addresses a plane problem for an infinite plane consisting of two different piezoceramic half-planes with an interfacial
crack with smooth contact zones and subjected to the uniformly distributed electromechanical loading applied at infinity.
Methods of complex-variable theory are used to reduce the problem to a Dirichlet-Riemann mixed homogeneous boundary-value
problem. Its solution is found in closed form. A system with one crack that has one or two contact zones is calculated. Expressions
for stresses, electric-flux density, and displacement discontinuities at the interface are written. Equations for the determination
of the length of the contact zones and expressions for the stress intensity factors at the crack tips are derived
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 66–74, March 2008. 相似文献
16.
V. M. Mirsalimov 《Journal of Applied Mechanics and Technical Physics》2006,47(5):736-746
The problem of mechanics of contact fracture is considered for a bushing in a friction pair. It is assumed that multiple reciprocating
motion of the plunger leads to fracture of the bushing material owing to friction caused by contact interaction and accompanied
by the joint effect of loading and temperature. It is assumed that there are several arbitrarily located straight-line cracks
with tip zones near the contact surface of the bushing. The stress state of the bushing is examined in the presence of regions
where the crack faces (or some part of them) come into contact.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 5, pp. 145–156, September–October, 2006. 相似文献
17.
G. V. Gavrilov 《International Applied Mechanics》2007,43(8):903-911
The subcritical growth of a mode I crack with nonsmall end zones in an aging viscoelastic plate under tensile loads applied
at infinity is studied assuming that the fracture process zone is of constant length. The equations of incubation, transition,
and major crack growth stages are obtained on the basis of the Volterra principle and critical crack opening criterion. The
crack subcritical growth of a specific material is studied as an example
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 8, pp. 92–101, August 2007. 相似文献
18.
A. P. Shabanov 《Journal of Applied Mechanics and Technical Physics》2009,50(4):684-690
A model for crack growth is proposed based on studies of the variation in the curvature radius at the crack tip during cyclic
loading. Relations are obtained between mechanical material characteristics, crack geometry, and the rate of crack growth
in a structure under cyclic loading.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 167–175, July–August, 2009. 相似文献
19.
The conventional formulation used in the past for problems involving interface cracks leads to a physical contradiction: The two sides of the crack are assumed to be free of tractions in the formulation, but the crack faces are seen to overlap after the solution is constructed. This unsatisfactory feature can be eliminated by introducing contact zones at the tips of an interface crack. The present article investigates the effect of friction in the contact zones for loads that start from zero and are increased monotonically. As an application, shear loading is considered, and the problem is reduced to a singular integral equation with a Cauchy-type kernel which is solved numerically. The results show that one of the contact zones is large and that friction affects the global nature of the stress fields. The results worked out include also the stress intensity factors, crack opening displacement, and the pressure distribution in the larger contact zone.
Résumé La formulation habituelle utilisée dans le passé pour des problèmes de fissures interfaciales conduit à une contradiction physique: Les deux lèvres de la fissure doivent être libres de contraintes, mais la solution peut impliquer une interpénétration des bords. Il est possible d'éliminer cette contradiction physique en introduisant des zones de contact aux pointes de la fissure. Le présent article étudie l'effet du frottement dans les zones de contact pour des charges croissantes à partir de zero. Comme application, on considère une charge de cisaillement et le problème se réduit à une équation intégrale singulière avec un noyau de type Cauchy. Cette équation est résolue numériquement. Les résultats montrent que l'une des zones de contact est grande et que le frottement modifie l'ensemble du champ de contraintes. On a aussi obtenu les facteurs d'intensité de contraintes, l'ouverture de la fissure et la distribution du pression dans la plus grande zone de contact.相似文献
20.
A crack is represented as a continuous set of linear dislocations. Simple analytical expressions are obtained for the potential
and kinetic energies of the environment of moving cracks and the attached mass of cracks for an arbitrary form of the stress
applied to the crack P(x). It is shown that the indicated analytical expressions are bilinear integrals of the functions P(x)
and ∂P(x)/∂x. These integrals are calculated in explicit form for a constant stress over the entire crack length and the stress
due to the action of molecular adhesion forces in a narrow region near the crack openings. It is shown that the calculation
results does not depend on the form of molecular adhesion forces. The proposed approach to describing cracks and calculations
based on it has made it possible for the first time to obtain a complete analytical expression for the limiting crack propagation
velocity in elastic materials as a function of the main mechanical characteristics of such materials.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 158–166, July–August, 2009. 相似文献