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1.
We determine the electrostressed state of a piezoceramic medium with an arbitrarily oriented triaxial ellipsoidal inclusion
under homogeneous mechanical and electric loads. Use is made of Eshelby’s equivalent inclusion method generalized to the case
of a piezoelectric medium. Solving the problem for a spheroidal cavity with the axis of revolution aligned with the polarization
axis demonstrates the high efficiency of the approach. A numerical analysis is carried out. The stress distribution along
the surface of the arbitrarily oriented triaxial ellipsoidal inclusion is studied 相似文献
2.
This paper is concerned with the axisymmetrical elastic fields caused by an ellipsoidal inclusion with a slipping interface which undergoes a uniform eigenstrain. The problem is solved under a revolving ellipsoidal coordinate with the aid of Papkovich-Neuber general dipacement formula. In contrast to the perfectly bonded interface, when the interface between the inclusion and the matrix cannot sustain shear stress, and is free to slip, the solution cannot be expressed in closed form and involves infinite series. Therefore, the results are illustrated by numerical examples. 相似文献
3.
4.
V. S. Kirilyuk 《International Applied Mechanics》2008,44(2):150-157
The elastic stress state in a piezoelectric body with an arbitrarily oriented elliptic crack under mechanical and electric
loads is analyzed. The solution is obtained using triple Fourier transform and the Fourier-transformed Green’s function for
an unbounded piezoelastic body. Solving the problem for the case of a crack lying in the isotropy plane, for which there is
an exact solution, demonstrates that the approach is highly efficient. The distribution of the stress intensity factors along
the front of a crack in a piezoelectric body under uniform mechanical loading is analyzed numerically for different orientations
of the crack
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 39–48, February 2008. 相似文献
5.
I.IntroductionManypracticalproblemsinengineering,suchascompositematerial,weldedjointorribbedslab,needustostudytheinteractionproblemoflineinclusionandcircularinclusionasshowninFig.1.Sotheproblemwasdiscussedinthispaper.Proceedingfromthestressfieldofplanecon… 相似文献
6.
V. S. Kirilyuk 《International Applied Mechanics》2004,40(12):1371-1377
The static-equilibrium problem for an elastic orthotropic space with a circular (penny-shaped) crack is solved. The stress state of an elastic medium is represented as a superposition of the principal and perturbed states. To solve the problem, Willis approach is used, which is based on the triple Fourier transform in spatial variables, the Fourier-transformed Greens function for an anisotropic material, and Cauchys residue theorem. The contour integrals obtained are evaluated using Gauss quadrature formulas. The results for particular cases are compared with those obtained by other authors. The influence of anisotropy on the stress intensity factors is studied.__________Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 76–83, December 2004. 相似文献
7.
张俊乾 《应用数学和力学(英文版)》2011,32(3):293-300
Motivated by the application of Winkler-like models for the buckling analysis of embedded carbon nanotubes, an orthotropic
Winkler-like model is developed to study the buckling behavior of embedded cytoskeletal microtubules within the cytoplasm.
Experimental observations of the buckling of embedded cytoskeletal microtubules reveal that embedded microtubules bear a large
compressive force as compared with free microtubules. The present theoretical model predicts that embedded microtubules in
an elastic medium bear large compressive forces than free microtubules. The estimated critical pressure is in good agreement
with the experimental values of the pressure-induced buckling of microtubules. Moreover, due to the mechanical coupling of
microtubules with the surrounding elastic medium, the critical buckling force is increased considerably, which well explains
the theory that the mechanical coupling of microtubules with an elastic medium increases compressive forces that microtubules
can sustain. The model presented in the paper is a good approximation for the buckling analysis of embedded microtubules. 相似文献
8.
Siddhartha Biswas 《基于设计的结构力学与机械力学》2019,47(3):302-318
The present article deals with a two-dimensional problem of generalized thermoelasticity with memory-dependent derivatives (MDDs). The problem is considered in homogeneous orthotropic medium in the context of three-phase-lag model in the presence of a magnetic field. The matrix differential equation is formed by using Laplace and Fourier transforms into the considered equations which are solved by eigenvalue approach. The effect of magnetic field on the considered parameters is presented graphically and compared with other thermoelastic models. The effect of different time delay and kernel function on the considered parameter is also presented graphically.
Communicated by Seonho Cho. 相似文献
9.
10.
V. S. Kirilyuk 《International Applied Mechanics》2005,41(3):302-308
The stress-concentration problem for an elastic orthotropic medium containing an ellipsoidal cavity is solved. The stress state in the elastic space is represented as a superposition of the principal state and the perturbed state due to the cavity. The equivalent-inclusion method, the triple Fourier transform in spatial variables, and the Fourier-transformed Green function for an infinite medium are used. Double integrals over a finite domain are evaluated using the Gaussian quadrature formulas. The results for particular cases are compared with those obtained by other authors. The influence of the geometry of the cavity and the elastic properties of the material on stress concentration is studied__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 3, pp. 93–100, March 2005. 相似文献
11.
Ibrahim A. Abbas Abo-el-nour N. Abd-alla 《Archive of Applied Mechanics (Ingenieur Archiv)》2008,78(4):283-293
Thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity are studied. The cavity surface
is subjected to ramp-type heating of its internal boundary, which is assumed to be traction free. Lord–Shulman and Green–Lindsay
models for the generalized thermoelasticity theories are selected since they allow for second-sound effects and reduce to
the classical model for an appropriate choice of the parameters. The temperature, radial displacement, radial stress, and
hoop stress distributions are computed numerically using the finite-element method (FEM). The results are presented graphically
for different values of the thermal relaxation times using the three different theories of generalized thermoelasticity. Excellent
agreement is found between the finite-element analysis and analytical and classical solutions. 相似文献
12.
A method is proposed to investigate the behavior of an axisymmetric system consisting of an infinite thin elastic cylindrical
shell immersed in an infinite elastic medium, filled with a perfect compressible fluid, and containing an oscillating spherical
inclusion. The system is subjected to periodic excitation. The task is to detect so-called resonant phenomena, to establish
conditions that cause them, and to examine the possibilities of using the characteristic parameters of such a hydroelastic
system to influence these conditions. The method allows transforming the general solutions of mathematical physics equations
from one coordinate system to another to obtain exact analytic solutions (in the form of Fourier series) to interaction problems
for systems of rigid and elastic bodies
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 82–97, July 2006. 相似文献
13.
IntroductionWiththedevelopmentofparticleandfiberreinforcedcomposites,theinclusion_crackinteractionproblemisbecominganimportantfieldbeingstudied .Andasamodel,itisalsousedtostudytheeffectsofmaterialdefectsonthestrengthandfractureofengineeringstructure.TheinterationbetweencircularinclusionandcrackwasstudiedinRefs.[1 -6 ] ;InRefs.[7-1 2 ] ,theinterationbetweenlineinclusionandcrackswasdiscussed ;TheinterationbetweenellipticalinclusionandcrackwasstudiedinRefs.[1 3,1 4] .However,withthedevelopmento… 相似文献
14.
The static equilibrium of an elastic orthotropic medium with an elliptic crack subject, on its surface, to linearly varying
pressure is studied. The stress state of the elastic medium is represented as a superposition of the principal and perturbed
states. Use is made of Willis’ approach based on the triple Fourier transform in spatial variables, the Fourier-transformed
Green’s function for an anisotropic material, and Cauchy’s residue theorem. The contour integrals are evaluated using Gaussian
quadratures. The results for particular cases are compared with those obtained by other authors. The influence of orthotropy
on the stress intensity factors is studied
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 73–81, July 2006. 相似文献
15.
The stress-concentration problem for an elastic transversely isotropic medium containing an arbitrarily oriented spheroidal inclusion (inhomogeneity) is solved. The stress state in the elastic space is represented as the superposition of the principal state and the perturbed state due to the inhomogeneity. The problem is solved using the equivalent-inclusion method, the triple Fourier transform in space variables, and the Fourier-transformed Green function for an infinite anisotropic medium. Double integrals over a finite domain are evaluated using the Gaussian quadrature formulas. In special cases, the results are compared with those obtained by other authors. The influence of the geometry and orientation of the inclusion and the elastic properties of the medium and inclusion on the stress concentration is studied__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 2, pp. 33–40, February 2005. 相似文献
16.
V. S. Kirilyuk 《International Applied Mechanics》2005,41(8):895-903
The static-equilibrium problem for an elastic orthotropic space with an elliptic crack is solved. The stress state of the
space is represented as a superposition of the principal and perturbed states. To solve the problem, Willis' approach is used.
It is based on the Fourier transform in spatial variables, the Fourier-transformed Green function for anisotropic material,
and Cauchy's residue theorem. The contour integrals appearing during solution are evaluated using Gaussian quadratures. The
results for particular cases are compared with those obtained by other authors. The influence of anisotropy on the stress
intensity factors is studied
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 72–81, August 2005. 相似文献
17.
In this paper the Mode-I elastodynamic problem of a crack propagating in an orthotropic medium is studied under the condition that the matrix of elastodynamic coefficients has repeated eigenvalues. It is shown that the crack is constrained in an elastodynamic state which is defined through a compulsory condition coupling its velocity with the elastic parameters of the orthotropic medium. The dynamic stress and displacement components ahead of the crack tip as well as the energy release rate are explicitly obtained. 相似文献
18.
王银邦 《应用数学和力学(英文版)》2004,25(2):152-157
The interaction between an elastic rectangular inclusion and a kinked crack inan infinite elastic body was considered by using boundary element method. The new complexboundary integral equations were derived. By introducing a complex unknown function H(t)related to the interface displacement density and traction and applying integration by parts,the traction continuous condition was satisfied automatically. Only one complex boundaryintegral equation was obtained on interface and involves only singularity of order l/ r. Toverify the validity and effectiveness of the present boundary element method, some typicalexamples were calculated. The obtained results show that the crack stress intensity factorsdecrease as the shear modulus of inclusion increases. Thus, the crack propagation is easiernear a softer inclusion and the harder inclusion is helpful for crack arrest. 相似文献
19.
Scattering of elastic waves in an elastic matrix containing an inclusion with interfaces 总被引:1,自引:0,他引:1
Based on the theory of elastic dynamics, the scattering of elastic waves and dynamic stress concentration in fiber-reinforced
composite with interfaces are studied. Analytical expressions of elastic waves in different medium areas are presented and
an analytic method of solving this problem is established. The mode coefficients are determined by means of the continuous
conditions of displacement and stress on the boundary of the interfaces. The influence of material properties and structural
size on the dynamic stress concentration factors near the interfaces is analyzed. It indicates that they have a great influence
on the dynamic properties of fiber-reinforced composite. As examples, numerical results of dynamic stress concentration factors
near the interfaces are presented and discussed. This paper provides reliable theoretical evidence for the study of dynamic
properties in fiber-reinforced composite.
Project supported by the National Natural Science Foundation of China (No. 19972018). 相似文献
20.
The nonlocal nonlinear vibration analysis of embedded laminated microplates resting on an elastic matrix as an orthotropic Pasternak medium is investigated. The small size effects of micro/nano-plate are considered based on the Eringen nonlocal theory. Based on the orthotropic Mindlin plate theory along with the von Kármán geometric nonlinearity and Hamilton's principle, the governing equations are derived. The differential quadrature method (DQM) is applied for obtaining the nonlinear frequency of system. The effects of different parameters such as nonlocal parameters, elastic media, aspect ratios, and boundary conditions are considered on the nonlinear vibration of the micro-plate. Results show that considering elastic medium increases the nonlinear frequency of system. Furthermore, the effect of boundary conditions becomes lower at higher nonlocal parameters. 相似文献