Crack initiation behavior of functionally graded piezoelectric material: prediction by the strain energy density criterion

Fracture analysis of a functionally graded strip with arbitrary distributed material properties

“…The exponential model has been extensively employed in studying the crack problems of FGMs (see, e.g., Delale and Erdogan, 1983Erdogan, , 1988Erdogan et al, 1991;Erdogan and Ozturk, 1992;Shbeeb and Binienda, 1999;Shbeeb et al, 2000;Meguid et al, 2002;Jin and Zhong, 2002;Chen et al, 2004;Zhou et al, 2005;Feng and Su, 2006). …”

“…However, due to mathematical difficulties arising from the continuously varying material properties, the stress intensity factors that can be analytically obtained are rather limited. Most of the available works assumed the elastic modulus varying in an exponential form from which the governing differential equations were reduced to those with constant coefficients and exact solutions could be easily found (see, e.g., Erdogan, 1983, 1988;Erdogan et al, 1991;Erdogan and Ozturk, 1992;Shbeeb and Binienda, 1999;Shbeeb et al, 2000;Meguid et al, 2002;Jin and Zhong, 2002;Chen et al, 2004;Zhou et al, 2005;Feng and Su, 2006). As for other variations of elastic moduli, the governing differential equations for FGMs are of variable coefficients and exact solutions are difficult to obtain (Gerasoulis and Srivastav, 1980;Craster and Atkinson, 1994).…”

On the dynamic behavior of a functionally graded piezoelectric strip with periodic cracks vertical to the boundary

“…Recently, some investigators found that the energy density factor (EDF) is an essential quantity for analyzing the piezoelectric crack growth behavior Zuo and Sih, 2000;Soh et al, 2001;Chen et al, 2004). For the anti-plane problem, the energy density factor is defined as…”

“…Kwon (2003) studied the electrical nonlinear anti-plane shear crack in a FGPM strip. Chen et al (2004) investigated the mixed mode crack problem in a FGPM plate.…”

Mode III eccentric crack in a functionally graded piezoelectric strip

“…Later, Ueda (2003) solved the anti-plane problem of a crack in a functionally graded piezoelectric strip bonded to two elastic surface layers. Chen et al (2004) obtained the transient response of an infinite functionally graded piezoelectric medium containing a through crack under the mixedmode in-plane mechanical and electrical load. Chue and Ou (2005) studied the problem of a crack in one of two bonded functionally graded piezoelectric half-planes.…”