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1.
The elastoplastic state of thin spherical shells with an elliptic hole is analyzed considering that deflections are finite.
The shells are made of an isotropic homogeneous material and subjected to internal pressure of given intensity. Problems are
formulated and a numerical method for their solution with regard for physical and geometrical nonlinearities is proposed.
The distribution of stresses (strains or displacements) along the hole boundary and in the zone of their concentration is
studied. The results obtained are compared with the solutions of problems where only physical nonlinearity (plastic deformations)
or geometrical nonlinearity (finite deflections) is taken into account and with the numerical solution of the linearly elastic
problem. The stress—strain state in the neighborhood of an elliptic hole in a shell is analyzed with allowance for nonlinear
factors
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 6, pp. 95–104, June 2005. 相似文献
2.
I. S. Chernyshenko E. A. Storozhuk F. D. Kadyrov 《International Applied Mechanics》2007,43(5):512-518
The elastoplastic state of isotropic homogeneous cylindrical shells with elliptic holes and finite deflections under internal
pressure is studied. Problems are formulated and numerically solved taking into account physical and geometrical nonlinearities.
The distribution of stresses (displacements, strains) along the boundary of the hole and in the zone of their concentration
is analyzed. The data obtained are compared with the numerical solutions of the physically nonlinear, geometrically nonlinear,
and linear problems. The stress-strain state of cylindrical shells in the neighborhood of the elliptic hole is analyzed with
allowance for nonlinear factors
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 5, pp. 46–54, May 2007. 相似文献
3.
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
4.
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
5.
I. S. Chernyshenko E. A. Storozhuk I. B. Rudenko 《International Applied Mechanics》2008,44(12):1397-1404
The elastoplastic state of a thin spherical shell weakened by an elliptic hole is analyzed. Finite deflections are considered.
The hole is reinforced with a thin ring. The shell is made of an isotropic homogeneous material. The load is internal pressure.
A relevant problem is formulated and solved numerically with allowance for physical and geometrical nonlinearities. The distribution
of stresses, strains, and displacements along the elliptic boundary and in the zone of their concentration is studied. The
stress–strain state of the shell near the hole is analyzed
Translated from Prikladnaya Mekhanika, Vol. 44, No. 12, pp. 93–101, December 2008. 相似文献
6.
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
7.
Stress distribution in physically and geometrically nonlinear thin cylindrical shells with two holes
The elastoplastic state of thin cylindrical shells weakened by two circular holes is analyzed. The centers of the holes are
on the directrix of the shell. The shells are made of an isotropic homogeneous material and subjected to internal pressure
of given intensity. The distribution of stresses along the hole boundaries and over the zone where they concentrate (when
the distance between the holes is small) is analyzed using approximate and numerical methods to solve doubly nonlinear boundary-value
problems. The data obtained are compared with the solutions of the physically nonlinear (plastic strains taken into account)
and geometrically nonlinear (finite deflections taken into account) problems and with the numerical solution of the linearly
elastic problem. The stress-strain state near the two holes is analyzed depending on the distance between them and the nonlinearities
accounted for
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 88–95, November 2005. 相似文献
8.
The stress-strain state of an anisotropic plate containing an elliptic hole and thin, absolutely rigid, curvilinear inclusions
is studied. General integral representations of the solution of the problem are constructed that satisfy automatically the
boundary conditions on the elliptic-hole contour and at infinity. The unknown density functions appearing in the potential
representations of the solution are determined from the boundary conditions at the rigid inclusion contours. The problem is
reduced to a system of singular integral equations which is solved by a numerical method. The effects of the material anisotropy,
the degree of ellipticity of the elliptic hole, and the geometry of the rigid inclusions on the stress concentration in the
plate are studied. The numerical results obtained are compared with existing analytical solutions.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 4, pp. 173–180, July–August, 2007. 相似文献
9.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2008,44(7):802-809
The elastoplastic state of cylindrical shells with a circular hole is studied considering finite deflections. The material
of the shells is isotropic and homogeneous; the load is axial tension. The distribution of stresses, strains, and displacements
along the hole boundary and in the zone of their concentration is studied by solving a doubly nonlinear problem. The data
obtained are compared with the solutions of the physically and geometrically nonlinear problems and a numerical solution of
the linear elastic problem
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 7, pp. 101–109, July 2008. 相似文献