共查询到20条相似文献,搜索用时 385 毫秒
1.
The stress state of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion is analyzed.
A solution is obtained using the triple Fourier transform and the Fourier-transformed Green’s function for an infinite anisotropic
medium. The high efficiency of the approach is demonstrated by solving the problem for a transversely isotropic material with
a spheroidal cavity for which the exact solution is known. A numerical analysis is conducted to study the stress distribution
over the surface of the inclusion with different orientations in the orthotropic space. It is revealed that in some cases
the orientation of the inclusion has a strong effect on the stress concentration
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 55–61, April 2007. 相似文献
2.
V. D. Kubenko Yu. M. Pleskachevskii É. I. Starovoitov D. V. Leonenko 《International Applied Mechanics》2006,42(5):541-547
The natural vibration of an elastic sandwich beam on an elastic foundation is studied. Bernoulli’s hypotheses are used to
describe the kinematics of the face layers. The core layer is assumed to be stiff and compressible. The foundation reaction
is described by Winkler’s model. The system of equilibrium equations is derived, and its exact solution for displacements
is found. Numerical results are presented for a sandwich beam on an elastic foundation of low, medium, or high stiffness
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 57–63, May 2006. 相似文献
3.
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
4.
S. R. Mahmoud 《Meccanica》2012,47(7):1561-1579
Influence of rotation, relaxation times, magnetic field, initial stress and gravity field on attenuation coefficient (Imaginary part of frequency equation root) and Rayleigh waves velocity (the real part of frequency equation root) in an elastic half-space of granular medium is studied. The analytical solution is obtained by using Lame’s potential techniques. The numerical calculations are carried out for the frequency equation of Rayleigh waves velocity. The results are displayed graphically. Some results of previous investigations are deduced as special cases from this study. 相似文献
5.
TWO-DIMENSIONALDEFORMATIONOFANANISOTROPICELASTICBODYWITHAPARABOLICBOUNDARYHuYuan-tai(胡元太)ZhaoXing-hua(赵兴华)(ShanghaiUniversity... 相似文献
6.
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
7.
The dynamic behavior of reinforced shells of revolution in an elastic medium is modeled. Pasternak’s model is used. A problem
of vibration of discretely reinforced shells of revolution is formulated and a numerical algorithm is developed to solve it.
Results from an analysis of the dynamic behavior of a reinforced spherical shell on an elastic foundation are presented as
an example
Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 99–106, February 2009. 相似文献
8.
We investigated the influence of elastic material compressibility on parameters of an expanding spherical stress wave. The
material compressibility is represented by Poisson’s ratio, ν, in this paper. The stress wave is generated by a pressure produced inside a spherical cavity surrounded by the isotropic
elastic material. The analytical closed form formulae determining the dynamic state of the mechanical parameters (displacement,
particle velocity, strains, stresses, and material density) in the material have been derived. These formulae were obtained
for surge pressure p(t) = p
0 = const inside the cavity. From analysis of these formulae, it is shown that the Poisson’s ratio substantially influences
the course of material parameters in space and time. All parameters intensively decrease in space together with an increase
of the Lagrangian coordinate, r. On the contrary, these parameters oscillate versus time around their static values. These oscillations decay in the course
of time. We can mark out two ranges of parameter ν values in which vibrations of the parameters are “damped” at a different rate. Thus, Poisson’s ratio in the range below about
0.4 causes intense decay of parameter oscillations. On the other hand in the range 0.4 < ν < 0.5, i.e. in quasi-incompressible materials, the “damping” of parameter vibrations is very low. In the limiting case when
ν = 0.5, i.e. in the incompressible material, “damping” vanishes, and the parameters harmonically oscillate around their static
values. The abnormal behaviour of the material occurs in the range 0.4 < ν < 0.5. In this case, an insignificant increase of Poisson’s ratio causes a considerable increase of the parameter vibration
amplitude and decrease of vibration “damping”.
相似文献
9.
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
10.
R. G. Yakupov 《Journal of Applied Mechanics and Technical Physics》2008,49(2):306-312
Wave processes in a semi-infinite rod located in an elastic medium under pulsed loading by an external distributed force are
considered. A system of two differential equations of motion of Timoshenko’s beam theory is solved with the use of the Laplace
transform in time. The resultant integrals are determined numerically. The changes in bending and bending moment over the
longitudinal coordinate at different times are demonstrated.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 2, pp. 178–184, March–April, 2008. 相似文献
11.
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
12.
Quanquan Yang Cun-Fa Gao Wentao Chen 《Archive of Applied Mechanics (Ingenieur Archiv)》2010,80(8):895-907
This paper is to study the two-dimensional stress distribution of a functional graded material plate (FGMP) with a circular
hole under arbitrary constant loads. With using the method of piece-wise homogeneous layers, the stress distribution of the
functional graded material plate having radial arbitrary elastic properties is derived based on the theory of the complex
variable functions. As examples, numerical results are presented for the FGMPs having given radial Young’s modulus or Poisson’s
ratio. It is shown that the stress is greatly reduced as the radial Young’s modulus increased, but it is less influenced by
the variation of the Poisson’s ratio. Moreover, it is also found that the stress level varies when the radial Young’s modulus
increased in different ways. Thus, it can be concluded that the stress around the circular hole in the FGMP can be effectively
reduced by choosing the proper change ways of the radial elastic properties. 相似文献
13.
G. V. Gavrilov 《International Applied Mechanics》2010,46(4):422-428
The paper addresses subcritical growth of a crack in a thin isotropic plate made of an aging viscoelastic material with time-dependent
elastic modulus. The behavior of the material is described by Arutyunyan’s creep theory. To simulate fracture, a modified
Leonov–Panasyuk–Dugdale model and a critical crack opening displacement criterion are used. An equation describing the subcritical
growth of the crack is derived assuming that Poisson’s ratio is constant. As an example, the critical loads are determined,
and curves of subcritical crack growth are plotted for a specific material. The results are compared with the case of constant
elastic modulus 相似文献
14.
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
15.
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
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
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 72–81, August 2005. 相似文献
17.
A. Loghman A. Ghorbanpour Arani A. R. Shajari S. Amir 《Archive of Applied Mechanics (Ingenieur Archiv)》2011,81(12):1853-1864
Time-dependent creep stress redistribution analysis of rotating disk made of Al–SiC composite is investigated using Mendelson’s
method of successive elastic solution. All mechanical and thermal properties except Poisson’s ratio are radial dependent based
on volume fraction percent of SiC reinforcement. The material creep behavior is described by Sherby’s constitutive model using
Pandey’s experimental results on Al–SiC composite. Loading is an inertia body force due to rotation and a distributed temperature
field due to steady-state heat conduction from inner to outer surface of the disk. Using equations of equilibrium, stress
strain, and strain displacement, a differential equation, containing creep strains, for displacement is obtained. History
of stresses and deformations are calculated using method of successive elastic solution. It is concluded that the uniform
distribution of SiC reinforcement does not considerably influence on stresses. However, the minimum and most uniform distribution
of circumferential and effective thermoelastic stresses belongs to composite disk of aluminum with 0% SiC at inner surface
and 40% SiC at outer surface. It has also been found that the stresses, displacement, and creep strains are changing with
time at a decreasing rate so that after almost 50 years the solution approaches the steady-state condition. 相似文献
18.
V. S. Kirilyuk 《International Applied Mechanics》2003,39(6):704-712
The interaction of an elastic ellipsoidal inclusion with an elliptic crack in an infinite elastic medium under triaxial loading is analyzed. The stress state in the elastic space is represented as a superposition of the principal state and perturbed states, which are due to the presence and interaction of the inclusion and the crack. The analytical solution of the problem is found using the method of equivalent inclusion, the potential of an inhomogeneous ellipsoid, and a system of harmonic functions for an elliptic crack. The effect of triaxial loading on the stress intensity factors is analyzed 相似文献
19.
The elastoplastic bending of a sandwich bar with a stiff compressible core on an elastic foundation is studied. The kinematics
of the bar, which is asymmetric across the thickness, is described adopting Bernoulli’s hypotheses for the face layers. The
displacements of the core are assumed to vary linearly across the thickness. The foundation is described by the Winkler model.
A system of equilibrium equations for displacements is derived and solved. Numerical results for a metal-polymer sandwich
bar are presented
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 110–120, April 2007. 相似文献
20.
S. D. Akbarov 《International Applied Mechanics》2007,43(3):351-360
The piecewise-homogeneous body model and the three-dimensional linearized theory of elastic waves in prestressed bodies are
used to solve the axisymmetric time-harmonic Lamb’s problem for a finite prestrained half-space covered with a finite prestretched
layer. It is assumed that the half-space and layer are incompressible and their deformation is described by the Treloar potential.
The normal stress at the interface is calculated
Published in Prikladnaya Mekhanika, Vol. 43, No. 3, pp. 132–143, March 2007. 相似文献