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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.
Physically and geometrically nonlinear deformation of conical shells with an elliptic hole 总被引:1,自引:1,他引:0
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2008,44(2):174-181
The elastoplastic state of conical shells weakened by an elliptic hole and subjected to finite deflections is studied. The
material of the shells is assumed to be isotropic and homogeneous; the load is constant internal pressure. The problem is
formulated and a technique for numerical solution with allowance for physical and geometrical nonlinearities is proposed.
The distribution of stresses, strains, and displacements along the hole boundary and in the zones of their concentration is
studied. The solution obtained is compared with the solutions of the physically and geometrically nonlinear problems and a
numerical solution of the linear elastic problem. The stress-strain state around an elliptic hole in a conical shell is analyzed
considering both nonlinearities
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 69–77, February 2008. 相似文献
3.
The elastoplastic state of thin cylindrical shells with two equal circular holes is analyzed with allowance made for finite deflections. The shells are made of an isotropic homogeneous material. The load is internal pressure of given intensity. The distribution of stresses along the hole boundary and in the stress concentration zone (when holes are closely spaced) is analyzed by solving doubly nonlinear boundary-value problems. The results obtained are compared with the solutions that allow either for physical nonlinearity (plastic strains) or geometrical nonlinearity (finite deflections) and with the numerical solution of the linearly elastic problem. The stresses near the holes are analyzed for different distances between the holes and nonlinear factors.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 107–112, October 2004. 相似文献
4.
L. P. Zheleznov V. V. Kabanov D. V. Boiko 《Journal of Applied Mechanics and Technical Physics》2003,44(6):809-813
The problem of nonlinear deformation and buckling of noncircular cylindrical shells under combined loading is solved by the variational finite-element method in the displacement formulation. A numerical algorithm for solving the problem is proposed. Stability of cylindrical shells with an elliptic cross-sectional contour under a combined action of torsion and bending is analyzed. The effect of cross-sectional ellipticity and nonlinear prebuckling deformation on the critical loads and buckling mode is studied. 相似文献
5.
We present a finite-element statement for the solution of stability problems for reinforced elliptic cylindrical shells with
moment properties and nonlinearity in their precritical stressstrain state taken into account. Integrating the equations obtained
by equating the linear strain components with zero, we find explicit expressions for the displacements of elements of noncircular
cylindrical shells as rigid bodies. Using these expressions, we construct the shape functions of a fourangle finite element
of natural curvature and develop an effective algorithm for studying nonlinear deformation and stability of shells. We study
the stability of reinforced elliptic cylindrical shells under combined loading by a transverse boundary force and a bending
moment and investigate how the ellipticity of the shells and the nonlinearity of deformation at the precritical stage affect
the shell stability. 相似文献
6.
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
7.
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
8.
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
9.
The influence of varying thickness at constant mass on the stress–strain state of orthotropic cylindrical shells with elliptic cross-section is analyzed by solving two-dimensional boundary-value problems 相似文献
10.
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
11.
L. P. Zheleznov V. V. Kabanov 《Journal of Applied Mechanics and Technical Physics》2002,43(4):617-621
Stability analysis of noncircular shells is performed with allowance for nonlinear subcritical deformation. Explicit expressions for the rigid displacements of elements of noncircular cylindrical shells are obtained and used to construct shape functions of an effective quadrilateral finite element of natural curvature. A finiteelement algorithm for solving problems of nonlinear deformation and stability of shells is developed. Stability problem of an elliptic cylindrical shell is considered. The effect of the ellipticity and subcritical nonlinear deformation of the shell on the critical load is studied. Results obtained are compared with available experimental data. 相似文献
12.
The stress-strain state of elliptic cylindrical shells under local loads is analyzed.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 113–121, October 2004. 相似文献
13.
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
14.
Nonlinear buckling of torsion-loaded functionally graded cylindrical shells in thermal environment 总被引:1,自引:0,他引:1
Based on the nonlinear large deflection theory of cylindrical shells, this paper deals with the nonlinear buckling problem of functionally graded cylindrical shells under torsion load by using the energy method and the nonlinear strain–displacement relations of large deformation. The material properties of the functionally graded shells vary smoothly through the shell thickness according to a power law distribution of the volume fraction of the constituent materials. Meanwhile, on the base of taking the temperature-dependent material properties into account, various effects of external thermal environment on the critical state of the shell are also investigated. Numerical results show various effects of the inhomogeneous parameter, the dimensional parameters and external thermal environment on nonlinear buckling of functionally graded cylindrical shells under torsion. The present theoretical results are verified by those in literature. 相似文献
15.
In this article the initial postbuckling behavior of ring stiffened cylindrical shells under hydrostatic pressure is analyzed
by Koiter's theory. The nonlinear bending equations consistent with boundary conditions have been used in prebuckling state.
The eigenvalue problem is solved by Galerkin's method. The obtained buckling loads are compared with the results which are
based on classical stability theory. As calculating examples, three typical outside-stiffened cylinders with different ring
stiffener parameters are chosen. The results show that the strength of stiffener not only influences buckling load obviously,
but also changes the imperfection-sensitivity of cylindrical shells. 相似文献
16.
A refined Timoshenko-type model based on the straight-line hypothesis is used to develop an approach to analyzing the stress
state of longitudinally corrugated cylindrical shells with elliptic cross-section. The approach is to reduce the two-dimensional
boundary-value problem that describes the stress–strain state of the shell to a one-dimensional one and to solve it with the
stable numerical discrete-orthogonalization method. The solutions obtained using the straight-line hypothesis and the equations
of three-dimensional elasticity are compared. The dependence of the stress–strain state of the shell on the number and amplitude
of corrugations and the aspect ratio of the cross-section is analyzed 相似文献
17.
Results obtained on the basis of linearized functionals in the theory of nonlinearly elastic composite shells are analyzed and generalized. The Kirchhoff-Love and Timoshenko hypotheses are used. Possible membrane or shear locking is taken into account. New approaches are proposed to improve the convergence of numerical solution for new classes of nonlinear problems for thin and nonthin shells with a curvilinear (circular, elliptical) hole. The stress-strain state of shells is analyzed using different versions of shell theory. The influence of the nonlinear properties and orthotropy of composite materials on the stress distribution in structural members is studied.Translated from Prikladnaya Mekhanika, Vol. 40, No. 11, pp. 45–84, November 2004.This revised version was published online in April 2005 with a corrected cover date. 相似文献
18.
Ya. M. Grigorenko A. Ya. Grigorenko L. I. Zakhairichenko 《International Applied Mechanics》2009,45(2):187-192
An approach developed to solve static problems for longitudinally corrugated elliptic cylindrical shells is used to analyze
the influence of their geometric parameters and thickness on the stress–strain state. The circumferential distribution of
stresses and displacements is analyzed for different values of the aspect ratio and number of corrugations
Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 91–98, February 2009. 相似文献
19.
Abrosov Yu. Yu. Maximyuk V. A. Chernyshenko I. S. 《International Applied Mechanics》2021,57(3):282-289
International Applied Mechanics - The stress–strain state of long cylindrical shells with elliptical cross-section is studied. The shells are made of a nonlinear elastic orthotropic organic... 相似文献
20.
Simplified equations are derived for the analysis of stress concentration for shear-deformable shallow shells with a small hole.General solutions of the equations are obtained,in terms of series,for shallow spherical shells and shallow circular cylindrical shells with asmall circular hole.Approximate explicit solutions and numerical results are obtianed forthe stress concentration factors of shallow circular cylindrical shells with a small hole onwhich uniform pressure is acting. 相似文献