Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
AI Summary:
The proposed method uses a Galerkin approach to derive a general weak form of the coupled governing equations for piezoelectric semiconductors. The method is validated through analysis of an N-type piezoelectric semiconducting beam under a sinusoidal distributed load.AI Topics:
The piezoelectric semiconductor combines the characteristics of both piezoelectric and semiconducting materials, making it highly promising for a variety of engineering applications. The present work adopts a Galerkin approach to derive a general weak form of the coupled governing equations for the analysis of piezoelectric semiconductors. The coupling effect between the strain, the electric field, and the gradients of the concentrations of holes and electrons has been considered. Piezoelectric semiconductors are often deployed in the shape of rods and beams and therefore commonly experience axial and transverse load. Thus, the Euler–Bernoulli beam theory is employed to formulate a numerical approach to analyse the coupling behaviour of such piezoelectric semiconductor beams. In order to satisfy the C1 continuity requirement of Euler–Bernoulli beam theory without introducing additional degrees of freedom, a discretisation with B-Splines is used. Non-mechanical variables, including electrical potential, holes and electrons concentrations, are decomposed into constant, linear and quadratic terms through series expansion along the thickness, which ensures compatibility with beam formulation. To validate the proposed method, an N-type piezoelectric semiconducting beam under a sinusoidal distributed load, for which an analytical solution is available, is initially examined. Subsequently, complex examples including a cantilever beam with generalised loading conditions and a beam with PN-junction are analysed to demonstrate the capabilities of the proposed method in handling more challenging scenarios.
Liu, Zhaowei
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listBian, Pei-Liang
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listQu, Yilin
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listHuang, Weicheng
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listChen, LeiLei
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listChen, Jingbo
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listSaxena, Prashant
Author
Mukherjee, Soumya and Saxena, Prashant (2025) Deformation and stability of initially stressed hyperelastic plates. International Journal of Solids and Structures, 311: 113253. ISSN 0020-7683
Shahsavari, Davood and Saxena, Prashant (2025) Surface instability of a finitely deformed magnetoelastic half-space. International Journal of Non-Linear Mechanics, 169: 104936. ISSN 0020-7462
Patra, Asesh Kumar and Khurana, Aman and Kumar, Deepak and Saxena, Prashant (2024) Impact of compliant electrodes on the dynamics of electromagnetoactive membranes. International Journal of Non-Linear Mechanics, 167: 104906. ISSN 0020-7462
See full publications listYu, Tiantang
Author
Liu, Zhaowei and Bian, Pei-Liang and Qu, Yilin and Huang, Weicheng and Chen, LeiLei and Chen, Jingbo and Saxena, Prashant and Yu, Tiantang (2024) A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams. European Journal of Mechanics - A/Solids, 103: 105145. ISSN 0997-7538
See full publications listRestricted to Repository staff only until 1 February 2026.
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