Analysis of Nonlinear Multi-Field Coupling Mechanics of Piezoelectric Semiconductor Beams via PINNs

XIAO Zhengguang; ZHANG Chunli; CHEN Weiqiu

doi:10.21656/1000-0887.450070

Volume 45 Issue 10

Oct. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(10): 1288-1299

XIAO Zhengguang, ZHANG Chunli, CHEN Weiqiu. Analysis of Nonlinear Multi-Field Coupling Mechanics of Piezoelectric Semiconductor Beams via PINNs[J]. Applied Mathematics and Mechanics, 2024, 45(10): 1288-1299. doi: 10.21656/1000-0887.450070

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Analysis of Nonlinear Multi-Field Coupling Mechanics of Piezoelectric Semiconductor Beams via PINNs

doi: 10.21656/1000-0887.450070

1. School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P.R.China;
2. Huanjiang Laboratory, Zhuji, Zhejiang 311816, P.R.China

Funds:

The National Science Foundation of China(12172326；11972319)

Received Date: 2024-03-19
Rev Recd Date: 2024-04-26

Available Online: 2024-10-31

Publish Date: 2024-10-01

Abstract

Abstract

Piezoelectric semiconductors (PSs) possess the characteristics of coexistence of piezoelectric and semiconductor properties and have broad application prospects in new multifunctional electronic/optoelectronic devices. It is very important to theoretically analyze multi-field coupling mechanical responses of PS structures under external loads. However, the governing equations describing the multi-field coupling mechanical behaviors of PS structures contain physically nonlinear current equations. On the other hand, many semiconductor devices typically operate under large deformation, which raises a geometrically nonlinear problem. The presence of physical and geometric nonlinearity poses challenges to the solution of the problem. Herein, for PS beam structures, a method based on physics informed neural networks (PINNs) was established to efficiently solve their nonlinear multi-field coupling responses. Through successive elimination of carrier-related terms and piezoelectricity-related terms from the constructed PINNs, the proposed method can be reduced to the cases of piezoelectric and pure elastic structures, respectively. With the proposed PINNs, the multi-field coupling responses of a PS beam under static uniform pressure were predicted. Numerical results show that, the proposed method can effectively solve the nonlinear multi-field coupling problems of the PS, piezoelectric and pure elastic structures. Relatively, it exhibits higher accuracy in solving piezoelectric and pure elastic structures.
- PS beam,
- multi-field coupling,
- nonlinearity,
- PINNs

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References(37)

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