In Chapter 4, numerical methods including Trefftz FE and BE approaches were described. It was noted that for some singularity problems such as crack problems of piezoelectric materials, the symplectic approach is a powerful and promising tool for obtaining analytical solutions and analyzing local singularity behavior. This chapter describes symplectic solutions for piezoelectric wedges, magnetoelectroelastic strips and wedges, and three-dimensional piezoelectric materials.
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