三维压电介质中位移不连续基本解的新方法

2015 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA) Pub Date : 2015-12-28 DOI:10.1109/SPAWDA.2015.7364538

Chunnan Zhou, Chang-hai Yang, M. Zhao, C. Fan

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引用次数: 0

摘要

基于算符理论，将三维压电介质中扩展位移和应力的一般解用两个势函数表示。通过引入广义Almansi定理和Hankel变换，将得到的一般解进一步简化，并用调和函数表示。最后，导出了单元集中扩展位移不连续面扩展位移和应力的基本解。

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A new method for the fundamental solution of displacement discontinuities in 3D piezoelectric media

Based on the operator theory, the general solutions of the extended displacements and stresses in three-dimensional piezoelectric media are expressed in terms of two potential functions. By introducing the generalized Almansi's theorem and the Hankel transform, the obtained general solutions are further simplified and expressed by harmonic functions. Finally, the fundamental solutions of the extended displacements and stresses corresponding to unit concentrated extended displacement discontinuities are derived.

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2015 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA)

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