A finite element modelling for directly determining intensity factors of piezoelectric materials with cracks. (English) Zbl 1264.74072
From the summary: The electric potential and displacement fields near a crack tip of piezoelectric materials are first used to construct a finite element version for directly determining intensity factors of piezoelectric materials with cracks. A singular finite element is constituted and a new method to calculate intensity factors of piezoelectric materials with cracks is obtained without any post-processing procedures. Detailed derivations are given and the results obtained with present method are good agreement with those of theoretical results, the FEM data by ANSYS and singular electromechanical crack tip elements. The results to the different selections of the structural dimensions are carried out. Numerical examples demonstrate the accuracy and validity of the novel element of present method.
MSC:
| 74G70 | Stress concentrations, singularities in solid mechanics |
| 74R10 | Brittle fracture |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74F15 | Electromagnetic effects in solid mechanics |
Keywords:
piezoelectric material; singular element; crack; stress intensity factor; general displacementReferences:
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