Crack analyses in conducting and non-conducting piezoelectric solids

Jan Sladek¹, Vladimir Sladek¹, Milan Zmindak², Slavomir Hrcek²

¹Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia.
²Faculty of Mechanical Engineering, University of Zilina, 01026 Zilina, Slovakia.

DOI:

https://doi.org/10.7494/cmms.2015.1.0523

Abstract:

The stress intensity factor and electric displacement intensity factor for cracks in conducting and non-conducting piezoelectric materials is investigated. Transient dynamic crack problems are analyzed. The coupled governing partial differential equations (PDE) for stresses, electric displacement field and electric current are satisfied in a local weak-form on small fictitious subdomains. Local integral equations are derived for a unit function as the test function on circular subdomains. All field quantities are approximated by the moving least-squares (MLS) scheme. The influence of the electric conductivity on the stress intensity and electric intensity factors is shown in numerical examples for an edge crack in a finite strip under a pure mechanical impact load with Heaviside time variation.

Cite as:

Sladek, J., Sladek, V., Zmindak, M., & Hrcek, S. (2015). Crack analyses in conducting and non-conducting piezoelectric solids. Computer Methods in Materials Science, 15(1), 198-203. https://doi.org/10.7494/cmms.2015.1.0523

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