-
The rapid advancement of micro-nano acoustic devices has led their core acoustic structures to shrink to the nanoscale level. The influence of surface effects on the mechanical properties of thin-film materials on a nanoscale becomes increasingly prominent, and the classical elasticity theory struggles to accurately describe their mechanical behavior on this scale. In this paper, a mechanical model of nano-SiO2/Si heterostructured thin films that considers surface effects is developed using surface elasticity theory. This model incorporates the key parameter of surface energy density. In this paper, a mechanical model of heterostructured nano-SiO2/Si films is developed using the surface elasticity theory, incorporating surface effects through the introduction of surface energy density as a key parameter. Using the Fourier integral transform method, analytical expressions for stress and displacement fields under surface traction are systematically derived, revealing the influence of surface effects on the mechanical behavior of materials on a nanoscale by comparing the analytical solution with that from the classical theory. The results show that when the surface stress distribution deviates by 3% from that predicted by the classical theory, the microscopic properties of the material become significant, and the surface effect cannot be ignored in a range of five times the width of the excitation region 2a. As the size of the excitation region decreases, the surface effect is significantly increases and the stress distribution within the excitation region and near the boundary becomes more concentrated than the counterparts in the classical theory. The shear stress is no longer zero, and an extreme value is observed at the boundary, which is significantly different from that predicted by the classical theory of elasticity. The transverse and longitudinal displacements are reduced compared with those from the classical theory, and the surface stiffness and deformation resistance of the material are greatly enhanced. Significant surface effects occur on nano-heterostructure thin films, leading to large deviations in stress and displacement distributions from the results of elasticity theory. Therefore, the classical elasticity assumptions are no longer applicable in the corresponding nanoscale range. The results demonstrate that the propagation of ultrahigh-frequency nano- length acoustic waves in nanoscale solid film surfaces is significantly affected by the scale effect. The failure of the classical elastic wave theory on a nanoscale is of great value for the study of nanoscale acoustic theory. Furthermore, these findings provide a theoretical basis for the subsequent development of more precise models of interfacial effects and a more detailed investigation of the influence of the film-substrate modulus ratio.
-
Keywords:
- surface elasticity theory /
- nanoscale /
- surface effects /
- failure phenomenon
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] -
-
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] -
[1] LIU Renjie, LI Yuxiu, CHEN Ying, DING Yu. Mechanism of vapor-liquid phase transition under synergistic action of nanoscale potential energy and cavitation. Acta Physica Sinica, 2025, 74(21): 214701. doi: 10.7498/aps.74.20250930 [2] Yang Zhi-Ping, Kong Xi, Shi Fa-Zhan, Du Jiang-Feng. Phase transition observation of nanoscale water on diamond surface. Acta Physica Sinica, 2022, 71(6): 067601. doi: 10.7498/aps.71.20211348 [3] Chen Xiao-Ming, Li Guo-Rong. Large electrostrictive coefficients of BaTiO3-based lead-free ceramics. Acta Physica Sinica, 2022, 71(16): 167701. doi: 10.7498/aps.71.20220451 [4] Shang Shuai-Peng, Lu Yong-Jun, Wang Feng-Hui. Surface effects on buckling of nanowire electrode. Acta Physica Sinica, 2022, 71(3): 033101. doi: 10.7498/aps.71.20211864 [5] Zhang Meng, Yao Ruo-He, Liu Yu-Rong. A channel thermal noise model of nanoscaled metal-oxide-semiconductor field-effect transistor. Acta Physica Sinica, 2020, 69(5): 057101. doi: 10.7498/aps.69.20191512 [6] Liang Jin-Jie, Gao Ning, Li Yu-Hong. Surface effect on ${\langle 100 \rangle }$ interstitial dislocation loop in iron. Acta Physica Sinica, 2020, 69(3): 036101. doi: 10.7498/aps.69.20191379[7] Yang Dong-Sheng, Liu Guan-Ting. Anti-plane fracture problem of four nano-cracks emanating from a regular 4n-polygon nano-hole in magnetoelectroelastic materials. Acta Physica Sinica, 2020, 69(24): 244601. doi: 10.7498/aps.69.20200850 [8] Zhang Ye, Zhang Ran, Chang Qing, Li Hua. Surface effects on Couette gas flows in nanochannels. Acta Physica Sinica, 2019, 68(12): 124702. doi: 10.7498/aps.68.20190248 [9] Peng Jie-Yang, Wang Jia-Hai, Shen Bin, Li Hao-Liang, Sun Hao-Ming. Influences of nanoscale particles and interparticle compression in electrodes on voltage hysteresis of lithium ion batteries. Acta Physica Sinica, 2019, 68(9): 090202. doi: 10.7498/aps.68.20182302 [10] Dong Yang, Du Bo, Zhang Shao-Chun, Chen Xiang-Dong, Sun Fang-Wen. Solid quantum sensor based on nitrogen-vacancy center in diamond. Acta Physica Sinica, 2018, 67(16): 160301. doi: 10.7498/aps.67.20180788 [11] Zhang Long-Yan, Xu Jin-Liang, Lei Jun-Peng. Molecular dynamics study of bubble nucleation on a nanoscale. Acta Physica Sinica, 2018, 67(23): 234702. doi: 10.7498/aps.67.20180993 [12] Zhang Peng-Fei, Qiao Chun-Hong, Feng Xiao-Xing, Huang Tong, Li Nan, Fan Cheng-Yu, Wang Ying-Jian. Linearization theory of small scale thermal blooming effect in non-Kolmogorov turbulent atmosphere. Acta Physica Sinica, 2017, 66(24): 244210. doi: 10.7498/aps.66.244210 [13] Liang Pei, Liu Yang, Wang Le, Wu Ke, Dong Qian-Min, Li Xiao-Yan. Investigation of the doping failure induced by DB in the SiNWs using first principles method. Acta Physica Sinica, 2012, 61(15): 153102. doi: 10.7498/aps.61.153102 [14] Tang Dong-He, Du Lei, Wang Ting-Lan, Chen Hua, Chen Wen-Hao. Qualitative analysis of excess noise in nanoscale MOSFET. Acta Physica Sinica, 2011, 60(10): 107201. doi: 10.7498/aps.60.107201 [15] Zhang Dong-Xian, Liu Chao, Zhang Hai-Jun. The effect of infrared laser-induced micro/nano photothermal expansion and the novel method of photothermal actuation. Acta Physica Sinica, 2008, 57(5): 3107-3112. doi: 10.7498/aps.57.3107 [16] Luo Wen-Xiong, Huang Shi-Hua, You Fang-Tian, Peng Hong-Shang. The luminescent properties of YBO3:Eu3+ nanocrystal. Acta Physica Sinica, 2007, 56(3): 1765-1769. doi: 10.7498/aps.56.1765 [17] Tian Jian-Hui, Han Xu, Liu Gui-Rong, Long Shu-Yao, Qin Jin-Qi. Investigation of the SiC nano-bar relaxation characteristics. Acta Physica Sinica, 2007, 56(2): 643-648. doi: 10.7498/aps.56.643 [18] Xie Gen-Quan, Han Xu, Long Shu-Yao, Tian Jian-Hui. Buckling of a single wall carbon nanotube under an axial pressure based on the nonlocal elastic theory. Acta Physica Sinica, 2005, 54(9): 4192-4197. doi: 10.7498/aps.54.4192 [19] Zeng Hua-Rong, Yu Han-Feng, Chu Rui-Qing, Li Guo-Rong, Yin Qing-Rui, Tang Xin-Gui. Field-induced displacement properties of nanoscale domain structure in PZT thin film. Acta Physica Sinica, 2005, 54(3): 1437-1441. doi: 10.7498/aps.54.1437 [20] LU HO-FU. ON THE VOLUME VISCO-ELASTIC THEORY OF FLUIDS AND ITS APPLICATION TO SOUND DISPERSION PHENOMENA. Acta Physica Sinica, 1956, 12(1): 5-19. doi: 10.7498/aps.12.5
DownLoad:
Catalog
Metrics
- Abstract views: 1557
- PDF Downloads: 28
- Cited By: 0