 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| P. V. Galpchyan, "The antiplane problem of electroelasticity for a compound piezoelectric cylinder whose cross-section is a circular sector," Mech. Solids. 39 (2), 36-42 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
2 |
Pages |
36-42 |
| Title |
The antiplane problem of electroelasticity for a compound piezoelectric cylinder whose cross-section is a circular sector |
| Author(s) |
P. V. Galpchyan (Erevan) |
| Abstract |
A piecewise-homogeneous cylinder consisting of two dissimilar piezoelectric
cylinders is considered. The cylinders are adhered to each other over a lateral
surface by a thin layer of a conductive glue. The electroelastic field caused
by longitudinal shear of the cylinder along generatrices is studied. The
components of the cylinder are piezoelectrics of class 6 mm of hexagonal
symmetry, which have different material constants. The principal axes of
symmetry of the cylinder components are parallel to generatrices of the
cylinder.
The solutions are constructed for the case where the central angles of the
cross-sections of the cylinder components are equal. The relations obtained for
the components of the vector of intensity of the electrostatic field and
components of the tensor of mechanical stresses are used to analyze the
electroelastic field near a singular point at the boundary of the cylinder in
the case where the interface between different materials passes through this
point.
The behavior of the electroelastic field near singular points arising in
homogeneous and piecewise-homogeneous piezoelectric bodies subjected to
antiplane deformation was investigated in [1-6]. |
| References |
| 1. | P. V. Galpchyan, "Determination of coupled electromechanical fields in
a cylindrical sector made of a piezocrystal," Izv. AN ArmSSR. Mekhanika,
Vol. 41, No. 5, pp. 21-25, 1990. |
| 2. | M. V. Belubekuan and P. V. Galpchyan, "Determination of the
singularity of the coupled electroelastic field at the coner point of a
piezoelectric body, which has the shape of dihedral angle, subjected to
longitudinal shear," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 102-108,
1994. |
| 3. | P. V. Galpchian, "Electroelastic field behavior in the vicinity of the
edge of a piezoelectric body," Intern. J. Appl. Electromagn. and Mech.,
Vol. 8, pp. 243-258, 1997. |
| 4. | A. M. Sargsyan and A. S. Khachikyan, "On an antiplane problem of
electroelasticity for a compound body," Izv. NAN Armenii. Mekhanika, Vol. 48,
No. 4, pp. 49-56, 1995. |
| 5. | A. M. Sargsyan and A. S. Khachikyan, "On the singularities of stresses
in two problems of electroelasticity for a piecewise-homogeneous body," Izv.
NAN Armenii. Mekhanika, Vol. 52, No. 1, pp. 40-45, 1999. |
| 6. | L. A. Fil'shtinskii, "Antiplane deformation of a composite
piezoelectric space weakened by tunnel cracks," Izv. AN. MTT [Mechanics of
Solids], No. 2, pp. 59-68, 1998. |
| 7. | P. V. Galpchian, "Behavior of the electroelastic field near the edge
of a compound dihedral angle subjected to longitudinal shear," in 4th
International Workshop "Engineering and Physical Problems of New Technology".
Abstracts [in Russian], pp. 134-135, Izd-vo MGTU im. Baumana, Moscow, 1996. |
| 8. | V. Z. Parton and B. A. Kudryavtsev, Electromagnetoelasticity of
Piezoelectric and Conducting Bodies [in Russian], Nauka, Moscow, 1988. |
| 9. | K. S. Chobanyan, Stress in Compound Elsastic Bodies [in Russian],
Izd-vo AN ArmSSR, Erevan, 1987. |
| 10. | P. V. Galpchian, "Boundary-value problems of antiplane deformation
for a cylinder consisting of different materials," Doklady NAN Armenii,
Vol. 99, No. 1, pp. 22-27, 1999. |
| 11. | V. I. Smirnov, Course of Higher Mathematics. Volume 3. Part 1 [in
Russian], Nauka, Moscow, 1997. |
|
| Received |
16 July 2001 |
| << Previous article | Volume 39, Issue 2 / 2004 | Next article >> |
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