共查询到20条相似文献,搜索用时 15 毫秒
1.
Yu. N. Podil’chuk 《International Applied Mechanics》2000,36(4):492-500
An explicit solution of the problem of electroelasticity is constructed for a transversally isotropic medium under the action
of a concentrated force and a concentrated electric charge. The cases where the force acts along the anisotropy axis and along
the isotropy axis are considered.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 4, pp. 80–87, April, 2000. 相似文献
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We consider a mixed boundary-value problem for the Poisson equation in a plane thick junction Ωε that is the union of a domain Ω0 and a large number of ε-periodically located thin rods. The nonuniform Signorini conditions are given on the vertical sides
of the thin rods. The asymptotic analysis of this problem is made as ε → 0, i.e., in the case where the number of thin rods
infinitely increases and their thickness tends to zero. With the help of the integral identity method, we prove the convergence
theorem and show that the nonuniform Signorini conditions are transformed (as ε → 0) into the limiting variational inequalities
in the domain that is filled up with thin rods when passing to the limit. The existence and uniqueness of a solution to this
nonstandard limit problem are established. The convergence of the energy integrals is proved as well.
Published in Neliniini Kolyvannya, Vol. 12, No. 1, pp. 44–58, January–March, 2009. 相似文献
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I. I. Argatov 《Journal of Applied Mechanics and Technical Physics》2001,42(6):1064-1072
The paper considers the problem of onesided frictionless compression of plane elastic bodies that are initially in contact with each other at a point. The first terms of an asymptotic solution of the problem are constructed by the method of joined asymptotic expansions. Determination of the approach of the bodies as a function of the pressing force reduces to calculating socalled of local compliance. The problems of contact of an elastic ring and elastic circular disks with punches and an elastic disk compressed between two elastic strips are considered. An asymptotic model for the quasistatic collision of plane elastic bodies is proposed. 相似文献
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The operator continued-fraction method is used to solve the problem on the stress state of a viscoelastic orthotropic half-plane
loaded at a momentt=0 with a force normal to the boundary of the half-plane. The stress field in the half-plane is determined based on the Volterra
principle and the solution of the corresponding elastic problem. The influence of the rheological parameters on the stress
state of the half-plane is shown by an example of a specific material.
S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 2, pp. 124–130, February, 2000. 相似文献
7.
W. L. Esmeijer 《Applied Scientific Research》1949,1(1):151-168
Summary An elastically supported beam of infinite length, initially at rest, carries a variable concentrated force
at a prescribed point A. General expressions are given for the deflection and the bending moment at A (6.3 and 6.4). Three special cases are considered; the first one is defined by
=0 for
and
=K=const. for
; the second one by
=0 for 0 >
>
,
given function of
for 0
; the third one applies to problems in which, during the period of impact,
itself is an unknown. The results given here may be of use in those railway-engineering problems in which a rail can be considered as a beam of infinite length, and in which the supporting ground has the required properties. 相似文献
8.
P. M. Gorbunov 《Journal of Applied Mechanics and Technical Physics》1974,15(6):881-884
We give a general solution of a problem involving plane-parallel shearing motion of a Maxwell body in a plastometer subject to a quasistatic concentrated interaction. In our solution we employ physicomathematical modelling of the microstructure and creep processes in the distributed mass of viscoelastic materials.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 172–175, November–December, 1974. 相似文献
9.
黄民丰 《应用数学和力学(英文版)》1997,18(5):511-515
I.PrefaceAsweknow,theSaint-Venanttheoryisawell-knownanduniversallyacceptedtheory.Butasoneofthegeneraltheoriesofelasticmechanics,itisnotprovedperfectely,althoughitistestedbyexperiments.Infact,onlyforthesimplestproblemofelasticity,itisnoteasytofindanalytics… 相似文献
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K. L. Chowdhury 《Journal of Elasticity》1983,13(1):87-90
Similarity transformations are constructed and used to obtain an exact solution for the axisymmetric boundary value problem of a homogeneous isotropic elastic semi-space subjected to a concentrated torque normal to its surface. 相似文献
12.
S. E. Omarov 《Mechanics of Solids》2009,44(5):776-780
The averaging method is used to determine the material functions of the linear Cosserat theory of elasticity. The proposed
method is used to find the material constant in the equilibrium problem for an infinite plane weakened by a circular hole. 相似文献
13.
T. C. T. Ting 《Rheologica Acta》1973,12(2):150-154
Summary The problem of a rigid punch pressed against and moved on the surface of an elastic or viscoelastic layer is studied. It is shown that the governing equations reduce to the same integral equation for the elastic contact problem. Two particular motions of the punch are considered. In the first case the punch moves at a constant speed along a straight line on the surface of a viscoelastic layer. In the second case the punch moves at a constant speed along a circular path. Finally, the special case of a punch moving on a layer of a standard linear viscoelastic solid is studied. The equation is identical to a punch of modified shape pressed on an elastic layer.The work presented here was supported by the National Science Foundation under Grant GK 35163 with the University of Illinois.With 1 figure 相似文献
14.
I. G. Druker 《Journal of Applied Mechanics and Technical Physics》1966,7(2):73-75
The plane problem of homogeneous vortex flows of an incompressible inviscid fluid around a contour is considered. A method is developed for contours having a center or an axis of symmetry for calculating the lifting force acting on the contour which reduces the problem of determining the lifting force to an ordinary problem of a potential flow of a fluid around the given contour. 相似文献
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