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1.
An analogy is established between the solutions of the problems of singularities of stresses in linear and bilinear elastic isotropic media. It is shown that the distributions of stresses and displacements in the vicinity of singular points on the boundary of the body (characterized by the singularities of stresses) are described, in both cases, by the same functional dependences on the space coordinates but with different characteristics of the material. We deduce expressions for the effective moduli of elasticity and Poisson's ratio of the bielastic medium including the parameter of hardening of the material. The solution of the problem of singularities of stresses in bilinear materials is obtained from the solution of the corresponding problem for the linear elastic medium by replacing the elastic constants with the corresponding effective values depending on the parameter of hardening of the material. The cases of wedge-shaped notches (for various boundary conditions imposed on their edges), two-component wedges, plane wedge-shaped cracks, and circular conic notches or rigid inclusions in the bielastic space are studied in detail. 相似文献
2.
3.
The stressed state of an elastic plane weakened by a semiinfinite branching crack whose branches are either shear cracks or
cracks of a mixed type is determined by the method of singular integral equations for the case where the stressed state at
the tip of the semiinfinite crack without branches is characterized by stress intensity factorsK
1
0
andK
II
0
. The values of these factors are obtained for the cases of one, two, and three branches and different values of geometric
parameters.
Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv,
Vol. 33, No. 1, pp. 45–50, January–February, 1997. 相似文献
4.
Numerical methods for solving integral equations of an axisymmetric problem of torsion of an elastic space with cracks on the surface of revolution are suggested for the cases of cracks crossing the axis of symmetry and cracks that have no common points with this axis. We also present relations for calculating the stress intensity factors at crack tips. Numerical results are obtained for a conic or paraboloidal simply connected crack and for a doubly connected crack lying on a surface formed by the revolution of an arbitrarily oriented straight segment or a parabolic arc. The crack faces are either subjected to a constant load or free of any forces; the body is subjected to torsion at infinity.Karpenko Physico-Mechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 29, No. 6, pp. 87–93, November–December, 1993. 相似文献
5.
6.
7.
8.
We obtain the analytic solution of an antiplane problem of the theory of elasticity for a cracked layer made of a composite
material whose cross section is formed by a periodic array of repeated rectangular elements. Each element, in turn, contains
four rectangular cells of different types. A crack is located on one of the interfaces of materials of these cells. The distributions
of displacements on the outer surfaces of the layer are regarded as given. The numerical analyses are performed for the stress
intensity factors depending on the mechanical properties of materials and the sizes of the cells. 相似文献
9.
10.
A dynamic problem for an elastic hollow cylinder whose surfaces are subjected to the action of arbitrary forces is solved
by a new method based on the use of finite differences only with respect to time [12]. The numerical analyses of the time
dependences of stress concentration are carried out for hollow cylinders of different thickness under impact loading. The
proposed method is tested by solving a problem of circular hole in an infinite body subjected to the action of impact loads
over the entire surface.
__________
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 44, No. 1, pp. 7–13, January–February, 2008. 相似文献