Pii: S0955-7997(01)00004-2
نویسندگان
چکیده
In this paper, the conventional boundary integral equation (BIE) formulation for piezoelectric solids is revisited and the related issues are examined. The key relations employed in deriving the piezoelectric BIE, such as the generalized Green's identity (reciprocal work theorem) and integral identities for the piezoelectric fundamental solution, are established rigorously. A weakly singular form of the piezoelectric BIE is derived for the ®rst time using the identities for the fundamental solution, which eliminates the calculation of any singular integrals in the piezoelectric boundary element method (BEM). The crucial question of whether or not the piezoelectric BIE will degenerate when applied to crack and thin shell-like problems is addressed. It is shown analytically that the conventional BIE for piezoelectricity does degenerate for crack problems, but does not degenerate for thin piezoelectric shells. The latter has signi®cant implications in applications of the piezoelectric BIE to the analysis of thin piezoelectric ®lms used widely as sensors and actuators. Numerical tests to show the degeneracy of the piezoelectric BIE for crack problems are presented and one remedy to this degeneracy by using the multi-domain BEM is also demonstrated. q 2001 Elsevier Science Ltd. All rights reserved.
منابع مشابه
Pii: S0955-7997(99)00050-8
Fundamental solutions to a generalized Helmholtz equation are determined through dependent variable transforms using the material properties and independent variable transforms based on conformal mapping. This allows variable wave speed media to be examined under some fairly broad material property constraints. q 2000 Elsevier Science Ltd. All rights reserved.
متن کاملPii: S0955-7997(99)00021-1
In this work, a boundary element model of an underwater landslide is developed. Careful gridding and time stepping techniques are demonstrated that produce highly accurate simulation results based on conservation of volume. A sensitivity analysis shows how to optimize simulation accuracy. The general techniques demonstrated herein are applicable to arbitrary moving submerged bodies. q 1999 Else...
متن کاملPii: S0955-7997(00)00014-x
An overlapping iterative domain decomposition approach for the coupling of the finite element method (FEM) and the boundary element method (BEM) is presented in this paper. In this proposed method, the domain of the original problem is subdivided into a FEM sub-domain and a BEM sub-domain, such that the two sub-domains partially overlap over a common region. The common region is modeled by both...
متن کاملPii: S0955-7997(98)00086-1
In this paper, six error indicators obtained from dual boundary integral equations are used for local estimation, which is an essential ingredient for all adaptive mesh schemes in BEM. Computational experiments are carried out for the two-dimensional Laplace equation. The curves of all these six error estimators are in good agreement with the shape of the error curve. The results show that the ...
متن کامل