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1.
V. N. Solodovnikov 《Journal of Applied Mechanics and Technical Physics》1999,40(5):969-978
Contact problems with friction are solved for a rectangular plate with a circular hole into which a ring plate (insert) is
placed with a small clearance. Two versions of contact boundary conditions are formulated. According to the proposed approximate
formulation of the problem, the boundary conditions in both versions are satisfied not at the actual contact points but at
specified pairs of points. Therefore, it is sufficient to determine attachment, slip, contact, and contact-free regions on
just one of the contacting contours. The finite-element method and the Boussinesq principle are used to solve the problem.
One of the versions of boundary conditions, compared to the other, gives smaller values for the strain energies of the plate
and insert, the stress-concentration coefficient, and the lengths of attachment and contact regions.
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 216–226, September–October, 1999. 相似文献
2.
I. S. Chernyshenko E. A. Storozhuk I. B. Rudenko 《International Applied Mechanics》2007,43(10):1142-1148
The stress-strain state of thin flexible spherical shells weakened by an eccentric circular hole is analyzed. The shells are
made of an isotropic homogeneous material and subjected to internal pressure. A problem formulation is given, and a method
of numerical solution with allowance for geometrical nonlinearity is outlined. The distribution of displacements, strains,
and stresses along the hole boundary and in the region of their concentration is examined. The data obtained are compared
with numerical solutions of the linear problem. The stress-strain state around the eccentric circular hole is analyzed with
allowance for geometrical nonlinearity
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 10, pp. 92–98, October 2007. 相似文献
3.
Pinned (bolted) joints are an extremely important, but difficult to analyze, structural or mechanical element. They are a
class of inverse problems in which the stresses at the pin/hole interface are typically unknown. Moreover, stresses vary non-linearly
with applied load. Failures of mechanical or structural systems frequently initiate at connections. Although almost always
present, many stress analyses of such mechanical connections ignore friction for simplicity. The stresses are evaluated here
in an aluminum connector using a series solution of an Airy stress function, the coefficients being evaluated from known boundary
tractions (near, but not including the contact region on the hole) and photoelastically measured data obtained from a bonded
birefringent coating. Both friction and pin/hole clearance are accounted for, and individual stresses are evaluated full-field,
including on the contact boundary of the hole. 相似文献
4.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2007,43(4):418-424
The elastoplastic state of thin conical shells with a curvilinear (circular) hole is analyzed assuming finite deflections.
The distribution of stresses, strains, and displacements along the hole boundary and in the zone of their concentration are
studied. The stress-strain state around a circular hole in shells subject to internal pressure of prescribed intensity is
analyzed taking into account two nonlinear factors
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 73–79, April 2007. 相似文献
5.
By observing experimentally obtained photoelastic fringe patterns and applying classical solutions for an infinite plate containing
a circular hole under remote tension and the modified Hertz contact theory, a replaced superposition method is proposed. In
this paper we use this method to investigate the state of stress around a near-surface circular hole in a semi-infinite plate
under a concentrated load. The well-matched conditions between the reconstructed and experimental photoelastic fringe patterns
indicate the applicability of the proposed method.
This paper was presented, in part, at a symposium honoring Dr. Christian P. Burger, Novel Applications of Experimental Methods in Mechanicsheld at the 2003 SEM Annual Conference and Exposition on Experimental and Applied Mechanics, June 2–4, 2003, Charlotte, North
Carolina. 相似文献
6.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2011,47(6):679-684
The elastoplastic state of thin conical shells with a circular hole is analyzed assuming finite deflections. The distributions
of stresses, strains, and displacements along the hole boundary and in the zone of their concentration are studied. The stress–strain
state of shells around the hole under axial tension is analyzed taking into account two nonlinear factors. The numerical results
are presented as plots and tables 相似文献
7.
In this paper we consider the problem of adhesive frictionless contact of an elastic half-space by an axi-symmetric punch.
We obtain integral equations that define the tractions and displacements normal to the surface of the half-space, as well
as the size of the contact regions, for the cases of circular and annular contact regions. The novelty of our approach resides
in the use of Betti’s reciprocity theorem to impose equilibrium, and of Abel transforms to either solve or substantially simplify
the resulting integral equations. Additionally, the radii that define the annular or circular contact region are defined as
local minimizers of the function obtained by evaluating the potential energy at the equilibrium solutions for each pair of
radii. With this approach, we rather easily recover Sneddon’s formulas (Sneddon, Int. J. Eng. Sci., 3(1):47–57, 1965) for circular contact regions. For the annular contact region, we obtain a new integral equation that defines the inverse
Abel transform of the surface normal displacement. We solve this equation numerically for two particular punches: a flat annular
punch, and a concave punch. 相似文献
8.
The gradient model of stochastically inhomogeneous media is used to study the stress concentration around a circular hole
in a two-component elastic composite. The study is based on a general solution of the system of equilibrium equations expressed
in terms of harmonic functions and functions that satisfy the Helmholtz equation. This solution is used to solve problems
for an infinite plane with a circular hole under uniform and uniaxial tension. The results obtained are compared with the
solutions found using the theory of effective moduli, which is simpler
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 41–53, December 2007. 相似文献
9.
This paper considers finite friction contact problems involving an elastic pin and an infinite elastic plate with a circular hole. Using a suitable class of Green's functions, the singular integral equations governing a very general class of conforming contact problems are formulated. In particular, remote plate stresses, pin loads, moments and distributed loading of the pin by conservative body forces are considered. Numerical solutions are presented for different partial slip load cases. In monotonic loading, the dependence of the tractions on the coefficient of friction is strongest when the contact is highly conforming. For less conforming contacts, the tractions are insensitive to an increase in the value of the friction coefficient above a certain threshold. The contact size and peak pressure in monotonic loading are only weakly dependent on the pin load distribution, with center loads leading to slightly higher peak pressure and lower peak shear than distributed loads. In contrast to half-plane cylinder fretting contacts, fretting behavior is quite different depending on whether or not the pin is allowed to rotate freely. If pin rotation is disallowed, the fretting tractions resemble half-plane fretting tractions in the weakly conforming regime but the contact resists sliding in the strongly conforming regime. If pin rotation is allowed, the shear traction behavior resembles planar rolling contacts in that one slip zone is dominant and the peak shear occurs at its edge. In this case, the effects of material dissimilarity in the strongly conforming regime are only secondary and the contact never goes into sliding. Fretting tractions in the forward and reversed load states show shape asymmetry, which persists with continued load cycling. Finally, the governing integro-differential equation for full sliding is derived; in the limiting case of no friction, the same equation governs contacts with center loading and uniform body force loading, resulting in identical pressures when their resultants are equal. 相似文献
10.
The advancing, frictional contact problem for a rigid pin indenting an infinite plate with a circular hole is considered. The formulation is general, and considers remotely applied plate-stresses in addition to pin loads. Using the theory of generalized functions, it is found that the governing equation in full sliding is a singular integro-differential equation (SIDE). Partial-slip behavior is governed by an implicit, coupled singular integral equation (SIE) pair. Numerical solutions are presented for both types of problems. It is found that the contact tractions in monotonic loading become independent of the coefficient of friction above a certain threshold value. Finally, problems involving typical ‘fretting-type’ pin loads with and without remote-stresses are also investigated, revealing remarkable effects of the degree of conformality and load path on the steady-state traction distributions. 相似文献
11.
The stress distributions in a semi-infinite plate due to a loaded pin of the same material as the plate are systematically investigated by an interferometric method which has been developed by the authors. For the experiments, a finite plate of diallylphthalate with a circular hole is used. It is supported at one side and loaded in the direction normal to the opposing straight edge by a pin which just fits the hole. The ratio of the distancee between the hole center and the straight edge to the diameterd of the hole is varied in steps from 4.0 to 1.0. At each step, the distributions of principal stresses σ1 and σ2 along the hole edge, line of symmetry and straight edge, which have not been fully investigated especially whene/d is small, are obtained separately from the isopachic and isochromatic fringes of the interfero-stress patterns. The relations between the maximum values of these stresses and the shape factore/d are determined. 相似文献
12.
The elastoplastic state of thin cylindrical shells weakened by a curvilinear (circular) hole is analyzed considering finite
deflections. The shells are made of an isotropic homogeneous material. The load is internal pressure of given intensity. The
distributions of stresses (strains, displacements) along the hole boundary and in the zone of their concentration are studied.
The results obtained are compared with solutions that account for physical (plastic strains) or geometrical (finite deflections)
nonlinearity alone and with a numerical linear elastic solution. The stress-strain state around a circular hole is analyzed
for different geometries in the case where both nonlinearities are taken into account
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 115–123, December, 2006. 相似文献
13.
M. P. Malezhik I. S. Chernyshenko G. P. Sheremet 《International Applied Mechanics》2007,43(7):767-771
Photoelastic plates made of an orthotropic material are used to model the dynamic stress state near free and reinforced circular
holes under blast loading. The diffraction of stress waves by holes in a thin-walled plate is studied. Experimental data are
used to analyze the dynamic stress concentration in a plate with a hole in which quasilongitudinal and quasitransverse waves
propagate
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 7, pp. 73–78, July 2007. 相似文献
14.
O. A. Kondratenko 《International Applied Mechanics》2008,44(2):167-173
The stress state around a circular hole in a prestressed hollow spherical shell is found by expanding the unknown functions
into Fourier-Legendre series
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 61–68, February 2008. 相似文献
15.
Stress state around cracks on the boundary of a hole in a photoelastic orthotropic plate under creep
The stress–strain state near cracks on the boundary of a circular hole in a linear elastic orthotropic composite plate under
tension is analyzed. The distribution of stress intensity factors (SIFs) at the crack tip is found from photoelectric measurements.
The dependence of the SIFs on the ratio of crack length to hole radius and on the mechanical properties of the material is
established 相似文献
16.
A general method based on complex variable theory is proposed to determine the magnetic and elastic fields of a piezomagnetic
body. This method is used to derive the basic relations for complex potentials in the two-dimensional problem of magnetoelasticity,
their general representations for a multiply connected domain, expressions for stresses, displacements, vectors of magnetic
field intensity and magnetic flux density, and magnetic field potential. A closed-form solution is obtained for a body with
an elliptic (circular) hole or crack subjected at infinity to the action of a constant magnetoelastic field. Numerical results
for a piezomagnetic plate with a circular hole are presented
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 64–74, October 2005. 相似文献
17.
V. N. Lozhkin 《International Applied Mechanics》1999,35(3):305-311
The elastoplastic state of a weighable isotropic half-plane with a circular hole is studied. Complex Kolosov-Muskhelishvili
functions which describe the elastic state of the half-plane are constructed. The unknown interface between the plastic and
elastic regions is studied with allowance for the single-valuedness of the elastic displacements. The problem is also solved
by the small-parameter method, and the two solutions are compared.
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine. Translated from
Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 93–98, March, 1999. 相似文献
18.
The paper outlines a method for constructing the general analytic solution to the system of equilibrium equations of nonthin
transversely isotropic plates. The method uses the Fourier–Legendre series expansion of the unknown functions with respect
to the thickness coordinate. The stress state near a circular hole in a nonthin plate subject to tensile and shear stresses
at infinity is analyzed 相似文献
19.
《International Journal of Solids and Structures》1999,36(27):4055-4070
This paper examines the pin load ratios and the stress intensity factors (SIFs) of a single crack in the multiple bolted joints by using finite element analyses. Cubic-spline contact elements and rigid links were used to model the contact surface between the bolt and the rigid pin. The least-squares method was used to determine the SIFs. The finite element results indicate that the cracked hole can still sustain the major part of the original loading at the uncracked condition. The first hole sustains the largest pin load and mode-I SIF, which are reduced little for crack propagation. This critical condition cannot be reduced by the arrangement of more pins in the plate. In this paper, two simple formulae were also investigated to fit the load ratios and SIFs of the multiple bolted-joints problems. 相似文献
20.
K. N. Volkov 《Journal of Applied Mechanics and Technical Physics》2007,48(1):44-54
Large eddy simulations are performed for an unsteady flow and heat transfer in the region of interaction of a circular turbulent
jet with a normally positioned flat obstacle (target). Space-filtered Navier-Stokes equations are closed by the RNG model of eddy viscosity, which takes into account the curvature of streamlines in the region of flow turning. The computations
are performed for different dimensionless distances between the nozzle exit and the target and for different Reynolds numbers.
The dependence between the Nusselt number distribution over the target surface and the vortex structure of the jet is analyzed.
The local and integral characteristics of the flow are compared with the data of a physical experiment.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 1, pp. 55–67, January–February, 2007. 相似文献