Research Article
A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials
Table 2
Comparison of XFEM results and analytical solutions for electromechanical Griffith crack (uniaxial load).
| | Loading | Analytical solution | Mesh (I) | Mesh (II) | | | CS-XFEM | XFEM | CS-XFEM | XFEM | | /(MNm−3/2) | /(CM−3/2) | /(MNm−3/2) | /(CM−3/2) | /(MNm−3/2) | /(CM−3/2) | /(MNm−3/2) | /(CM−3/2) | /(MNm−3/2) | /(CM−3/2) |
| | Mechanical | 1.7724 × 10−1 | 0 | 1.7505 × 10−1 | 0 | 1.7385 × 10−1 | 0 | 1.7494 × 10−1 | 0 | 1.7365 × 10−1 | 0 | | Electrical | 0 | 1.7724 × 10−4 | 0 | 1.7569 × 10−4 | 0 | 1.7479 × 10−4 | 0 | 1.75481 × 10−4 | 0 | 1.7459 × 10−4 | | Mechanical + electrical | 1.7724 × 10−1 | 1.7724 × 10−4 | 1.7505 × 10−1 | 1.7569 × 10−4 | 1.7385 × 10−1 | 1.7479 × 10−4 | 1.7494 × 10−1 | 1.75481 × 10−4 | 1.7365 × 10−1 | 1.7459 × 10−4 |
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