A new solution for thermopiezoelectric solid with an insulated elliptic hole |
| |
Authors: | Qin Qinghua |
| |
Institution: | (1) Dept. of Mechanical Engineering, University of Sydney, 2006 Sydney, NSW, Australia |
| |
Abstract: | A new solution is obtained for thermal analysis of insulated elliptic hole embedded in an infinite thermopiezoelectric plate.
In contrast to our previous results, the present formulation is based on the use of exact electric boundary conditions at
the rim of the hole, thus avoiding the common assumption of electric impermeability. Using Lekhnitskii's formulation and conformal
mapping, the elastic and electric fields can be expressed in a closed form in terms of complex potentials. The solutions for
the crack problem are obtained by setting the minor axis of the ellipse approach to zero. As a consequence, the stress and
electric displacement (SED) intensity factors and strain energy release rate can be derived analytically. One numerical example
is considered to illustrate the application of the proposed formulation and compare with those obtained from impermeable model.
The work was performed with the support of Australian Research Council Foundation. |
| |
Keywords: | piezoelectric thermal analysis conformal mapping fracture |
本文献已被 SpringerLink 等数据库收录! |
|