The effective thermoelectroelastic properties of microinhomogeneous materials |
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| Institution: | 1. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88001, USA;2. Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, Bolshoy Pr., 61, V.O., St. Petersburg 199178, Russia;3. St. Petersburg Polytechnic University, Polytechnicheskaya Str., 29, St. Petersburg 195251, Russia;4. Instituto Mexicano Del Petroleo, C.P. 07730 Mexico D.F., Mexico;1. Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, col. San Bartolo Atepehuacán, CP 07730, México, D.F., Mexico |
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| Abstract: | The paper is concerned with composite materials which consist of a homogeneous matrix phase with a set of inclusions uniformly distributed in the matrix. The components of these materials are considered to be ideally elastic and exhibit piezoelectric properties. One of the variants of the self-consistent scheme, the Effective Field Method (EFM) is applied to calculate effective dielectric, piezoelectric and thermoelastic properties of such materials, taking into account the coupled electroelastic effects. At first the coupled thermoelectroelastic problem for a homogeneous medium with an isolated inclusion is solved. For an ellipsoidal inclusion and constant external field the solution of this problem is found in a closed analytic form. This solution is then used in the EFM to derive the effective thermoelectroelastic operator for the composite containing a random array of ellipsoidal inclusions. Explicit formulae for the electrothermoelastic constants are given for composites, reinforced by spheroidal inclusions. |
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