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| Dynamic behaviour of 2D film-substrate structure with checkerboard regime via Symplectic Runge-Kutta method |
| Received:October 25, 2023 Revised:October 30, 2023 |
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| DOI：10.7511/jslx20231025004 |
| KeyWord:Stretchable electronics film-substrate structure Symplectic algorithm Structure preserving |
| Author | Institution |
| 张博涵 |
西北工业大学 工程力学系, 西安 |
| 曹善成 |
西北工业大学 航天学院, 西安 |
| 王博 |
西北工业大学 工程力学系, 西安 ;大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 欧阳华江 |
西南交通大学 机械工程学院, 成都 |
| 徐方暖 |
西北工业大学 工程力学系, 西安 |
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| Abstract: |
| Stretchable inorganic electronics, based on buckling mechanisms, have been fabricated.However, these electronics need to work in a dynamic environment and the dynamic behaviour of these structures is also one of important considerations for their applications in industry.In this paper, the potential energies due to bending and in-plane membrane deformation of the 2D film, and the kinetic energy and the potential energy of the compressed substrate of a film-substrate structure are formulated;then, by using the Lagrange equation, the governing equation of this buckled structure his derived.Since the analytical solutions of this equation cannot be obtained, it is solved by the Symplectic Runge-Kutta method.Through the numerical examples, it is found that the Symplectic algorithm can preserve the characteristics of the film-substrate structure in long-time, and also maintain the buckling characteristics, and thus provides an excellent numerical analysis method for determining dynamic behaviour of stretchable inorganic, buckled film-substrate-based electronics. |
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