Investigation of the crack problem in non-local piezoelectric materials under combined electromechanical loadings |
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Authors: | Qun Li Yiheng Chen |
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Institution: | (1) School of Aerospace, Xi’an Jiao-Tong University, 710049 Xi’an, China |
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Abstract: | The present investigation of the crack problem in piezoelectric materials is performed based on the non-local theory. After
some manipulations, the impermeable crack, the permeable crack (the crack gap is full of NaCI solution), and the semi-permeable
crack (the crack gap is full of air or silicon oil) are reduced to a uniform formulation by assuming the normal electric displacement
on the crack surfaces to be an unknown variable. Thus, a triple integral equation with the unknown normal electric displacement
is established. By using the Newton iterative method and solving the triple integral equation, it is found that the normal
electric displacement on the crack surfaces is no longer a constant as determined by previous studies, rather, it depends
upon the remote combined electromechanical loadings. Numerical results of the stresses and electric displacement fields show
that there are no singularities at the crack tips so that the stresses remain finite. It is of great significance that the
concrete electric boundary condition on the crack surfaces exerts significant influence on the near-tip fields and in this
way plays an important role in evaluating the crack stability in the non-local piezoelectric materials. More specifically,
the impermeable crack model always overestimates the finite stresses at the crack tips, whereas the permeable crack model
always underestimates them. |
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Keywords: | Crack Non-local piezoelectric materials Impermeable Permeable Semi-permeable |
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