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Extension and Bending of Plates

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Abstract

In addition to beams or fibers, piezoelectric semiconductor plates or thin films are also widely used in devices in extension and bending. In this chapter, we derive two-dimensional equations for thin plates of piezoelectric semiconductors [1, 2]. We follow R.D. Mindlin’s approach [3–5], beginning from the three-dimensional equations with power series expansions in the plate thickness coordinate and then truncating the expansions to obtain low-order equations for extension and/or bending. The last section is on shells.

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References

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Yang, J. (2020). Extension and Bending of Plates. In: Analysis of Piezoelectric Semiconductor Structures. Springer, Cham. https://doi.org/10.1007/978-3-030-48206-0_5

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