 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| R. L. Salganik, "Thermoelastic and poroelastic deformation of a multi-layer structure formed by layers resistant to bending (continuum approximation)," Mech. Solids. 40 (3), 46-50 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
3 |
Pages |
46-50 |
| Title |
Thermoelastic and poroelastic deformation of a multi-layer structure formed by layers resistant to bending (continuum approximation) |
| Author(s) |
R. L. Salganik (Moscow) |
| Abstract |
In the continuum approximation, the equations for linearly inelastic
deformation of a multi-layer structure with the layers that can
slip with respect to each other and are resistant to bending are
derived. The inelastic nature of the deformation is due to either
temperature changes (thermoelasticity) or pore pressure changes
(for a fluid-saturated porous material; poroelasticity). Thus, a
particular case of inelasticity is considered where the strain
behavior of the material is the same during its loading and unloading.
The layers are assumed to be plane, their material is uniform and
isotropic. The temperature and pore pressure gradients are assumed to
be relatively small, which allows the temperature and pore pressure
differences through the layer thickness to be neglected. Deformation
of each layer in the structure is modeled in terms of the classical
theory of weak bending of thin plates with allowance for contact
between adjacent layers. The characteristic scales of variation of
all fields as functions of coordinates are assumed fairly large in
comparison with the layer thickness, which justifies the continuum
description of deformation of the structures under consideration. The
layers are subjected to a normal uniformly distributed pressure which,
hence, does not affect the layer deflection and prevents the
delamination. It is also assumed that the effects of the longitudinal
loading of the layers on their deflections can be neglected. An
approach is considered which enables these problems to be reduced to
those treated on the basis of the homogeneous deformation equations
for the structure. An illustrative example is given, and possible
applications of the results obtained are discussed. |
| References |
| 1. | V. V. Bolotin and Yu. N. Novichkov, Mechanics of
Multilayer Structures [in Russian], Mashinostroenie, Moscow, 1980. |
| 2. | A. M. Freudental and H. Geiringer, The Mathematical Theories
of the Inelastic Continuum [Russian translation],
Fizmatgiz, Moscow, 1962. |
| 3. | G. Sonntag,"Die is Schichten gleigher Dicke reibungsfrei geschichtete Halbebene
mit periodisch vertreilter Randbelastung," Forsch. Geb. Ingenieurwesen,
Bd. 23, H. 1/2, S. 3-8, 1957. |
| 4. | R. L. Salganik, "Continuum approximation in the description of layered
material deformation," Izv. AN. MTT [Mechanics of Solids]old, No. 3, pp. 48-56, 1987. |
| 5. | R. L. Salganik, "Mixed static boundary-value problems for laminated elastic
structures formed by bending resistant layers (a continuum
approximation)", Izv. AN. MTT [Mechanics of Solids], No. 1,
pp. 88-97, 2004. |
| 6. | R. Christensen, Introduction to Mechanics of Composites [Russian translation],
Moscow, Mir, 1982. |
| 7. | S. P. Timoshenko and S. Woinowsky-Krieger, Theory of
Plates and Shells [Russian translation], Nauka, Moscow, 1966. |
| 10. | R. L. Salganik, and K. B. Ustinov, "Crack-like formation of
failure-decided angle points on middle planes of the layers resistant
to bending in multi-layer structure - a continuum model", Intern.
J. Fract., Vol. 128, pp. 41-48, 2004. |
| 11. | R. Goodman, Mechanics of Rocks [Russian translation], Stroiizdat, Moscow, 1987. |
|
| Received |
21 August 2003 |
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