Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates

A novel asymptotic approach to the theory of non-homogeneous anisotropic plates is suggested. For the problem of linear static deformations we consider solutions, which are slowly varying in the plane of the plate in comparison to the thickness direction. A small parameter is introduced in the general equations of the theory of elasticity. According to the procedure of asymptotic splitting, the...

متن کامل

ON MAXWELL'S STRESS FUNCTIONS FOR SOLVING THREE DIMENSIONAL ELASTICITY PROBLEMS IN THE THEORY OF ELASTICITY

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...

متن کامل

Asymptotic modeling of thin piezoelectric plates

We study the asymptotic behavior of a three dimensional flat, heterogeneous and anisotropic piezoelectric body when its thickness seen as a parameter goes to zero. Depending on the type of the electrical loading two models are obtained which are related to the plate used as a sensor or as an actuator. These models are explicitly derived in any piezoelectric crystal symmetry class. For some of t...

متن کامل

The Nonlinear Bending Analysis for Circular Nano Plates Based on Modified Coupled Stress and Three- Dimensional Elasticity Theories

In this paper, the nonlinear bending analysis for annular circular nano plates is conducted based on the modified coupled stress and three-dimensional elasticity theories. For this purpose, the equilibrium equations, considering nonlinear strain terms, are calculated using the least energy potential method and solved by the numerical semi-analytical polynomial method. According to the previous ...

متن کامل

Three-Dimensional Asymptotic Analysis of Multiple-Electroded Piezoelectric Laminates

Theproblemofpiezoelectric laminateswith speciŽ ed surface tractions and surface and internal electric potentials is studied. By writing the governing equations in the state-space formulation, employing an asymptotic expansion technique, and expressing electric displacement jumps across internal electrodes in terms of basic unknowns, the three-dimensional problem is reduced to a hierarchy of two...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Solids and Structures

سال: 2011

ISSN: 0020-7683

DOI: 10.1016/j.ijsolstr.2010.09.001