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11.
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For an arbitrary isotropic and linear kinematic hardening and loading paths given in the form of arbitrary multisection polygonal
lines in the five-dimensional deviatoric space of total strains, we have studied analytically an initially isotropic elastoplastic
material with von Mises yielding and the associated flow rule. The solutions obtained are valid for arbitrary relationships
that govern the variation of the spherical component of the stress tensor. For arbitrary isotropic and kinematic hardening,
we have also obtained an analytical solution to an elastoplastic problem for an arbitrary deformation trajectory given in
the deviatoria space of plastic strains
Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti,
No. 1, pp. 62–71, January–February, 2000 相似文献
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We construct a mathematical model of three-dimensional bending with tension and torsion of a prestressed curvilinear pipeline
in an elastic compliant soil with longitudinal and torsional frictiontype reactions. The model has the form of a system of
12 ordinary linear differential equations. It takes into account large initial displacements of the pipeline and the action
of temperature and pressure linearly distributed along the axis of the pipe. The analytic solution of the problem obtained
in elementary functions is of significant practical interest for the inspection and design-basis strength analyses of underground,
surface, and above-ground pipelines.
Scientific and Engineering Center of Materials-Science Support of the Production and Certification of Equipment of Nuclear
Power Plants at the Institute for Problems of Strength of the National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated
from Problemy Prochnosti, No. 2, pp. 151 – 160, March – April, 1998. 相似文献
16.
Andrei Romashchenko 《Theory of Computing Systems》2014,55(2):313-329
We study probabilistic bit-probe schemes for the membership problem. Given a set A of at most n elements from the universe of size m we organize such a structure that queries of type “x∈A??” can be answered very quickly. H. Buhrman, P.B. Miltersen, J. Radhakrishnan, and S. Venkatesh proposed a randomized bit-probe scheme that needs space of O(nlogm) bits. That scheme has a randomized algorithm processing queries; it needs to read only one randomly chosen bit from the memory to answer a query. For every x the answer is correct with high probability (with two-sided errors). In this paper we slightly modify the bit-probe model of Buhrman et al. and consider schemes with a small auxiliary information in “cache” memory. In this model, we show that for the membership problem there exists a bit-probe scheme with one-sided error that needs space of O(nlog2 m+poly(logm)) bits, which cannot be achieved in the model without cache. We also obtain a slightly weaker result (space of size n 1+δ poly(logm) bits and two bit probes for every query) for a scheme that is effectively encodable. 相似文献
17.
V. A. Romashchenko 《Strength of Materials》2007,39(1):80-84
For weakly compressible elastic helically orthotropic laminated cylinders loaded by internal impulsive pressure under conditions
of plane deformation, we perform the numerical investigation of the character of convergence of one-dimensional wave solutions
to the analytic relations for incompressible thick-walled shells obtained earlier by the author. An approximate engineering
analytic procedure is proposed for the evaluation of the dynamic stress-strain state of inhomogeneous helically reinforced
thick-walled cylindrical shells.
__________
Translated from Problemy Prochnosti, No. 1, pp. 114–120, January–February, 2007.
Notation is taken from Part 1 of the present work [1]. Here, we continue the numeration of formulas started in Part 1 and
the reader is frequently referred to the formulas presented there. 相似文献
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Lepikhin P. P. Romashchenko V. A. Beiner O. S. Tarasovska S. O. 《Strength of Materials》2022,54(3):358-371
Strength of Materials - The effect of metal layer thickness on the stress-strain state and strength of metal composite cylinders of constant total thickness under the action of internal dynamic... 相似文献