Investigation of the crack problem in non-local piezoelectric materials under combined electromechanical loadings-中国Betway体育网页登陆

摘要 Thepresentinvestigationofthecrackprobleminpiezoelectricmaterialsisperformedbasedonthenon-localtheory.Aftersomemanipulations,theimpermeablecrack,thepermeablecrack(thecrackgapisfullofNaCIsolution),andthesemi-permeablecrack(thecrackgapisfullofairorsiliconoil)arereducedtoauniformformulationbyassum-ingthenormalelectricdisplacementonthecracksurfacestobeanunknownvariable.Thus,atripleintegralequationwiththeunknownnormalelectricdisplacementisestablished.ByusingtheNewtoniterativemethodandsolvingthetripleinte-gralequation,itisfoundthatthenormalelectricdisplacementonthecracksurfacesisnolongeraconstantasdeterminedbypreviousstudies,rather,itdependsupontheremotecom-binedelectromechanicalloadings.Numericalresultsofthestressesandelectricdisplacementfieldsshowthattherearenosingularitiesatthecracktipssothatthestressesremainfinite.Itisofgreatsignificancethattheconcreteelectricboundaryconditiononthecracksurfacesexertssignificantinfluenceonthenear-tipfieldsandinthiswayplaysanimpor-tantroleinevaluatingthecrackstabilityinthenon-localpiezoelectricmaterials.Morespecifically,theimpermeablecrackmodelalwaysoverestimatesthefinitestressesatthecracktips,whereasthepermeablecrackmodelalwaysunder-estimatesthem.

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Investigation of the crack problem in non-local piezoelectric materials under combined electromechanical loadings

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