Surface elasticity and surface slice thickness effects on the elastic properties of nanofilms

Li, Jiangang; Wang, Aoxuan; Narsu, B.; Yun, Guohong; Gao, Zhixiang; Liu, Dapeng

doi:10.1007/s00339-019-2726-2

Cited by 10 publications

(6 citation statements)

References 32 publications

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“…The existence of an “imperfect” layer is expected to be the reason for the asymptotic tendency of the measured E̅ eff . In fact, similar tendencies have also been reported in previous studies, as a result of strain-independent surface stress or changed elastic modulus at the surface, where the tendencies of thickness-dependent Young’s modulus are typically described in the form of A + B / t . − To a certain extent, the formula is reasonable given its physical significance if we conceptualize our SrTiO 3 membranes as a bilayer system and presume that each layer functions as an ideal and parallel springs. From Hooke’s Law, the E̅ eff can be written as E̅ normale normalf normalf = t normalb t t o t a l E̅ b + t normals t t o t a l E̅ s where t b , t s and t total are thicknesses of the bulk-like layer, imperfect surface layer, and total thickness of membranes.…”

Section: Resultssupporting

confidence: 73%

Elastic Properties of Low-Dimensional Single-Crystalline Dielectric Oxides through Controlled Large-Area Wrinkle Generation

Meng,

Shi,

Zhang

et al. 2024

ACS Appl. Mater. Interfaces

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Freestanding single-crystalline SrTiO 3 membranes, as high-κ dielectrics, hold significant promise as the gate dielectric in two-dimensional (2D) flexible electronics. Nevertheless, the mechanical properties of the SrTiO 3 membranes, such as elasticity, remain a critical piece of the puzzle to adequately address the viability of their applications in flexible devices. Here, we report statistical analysis on plane-strain effective Young's modulus of large-area SrTiO 3 membranes (5 × 5 mm 2 ) over a series of thicknesses (from 6.5 to 32.2 nm), taking advantage of a highly efficient buckling-based method, which reveals its evident thickness-dependent behavior ranging from 46.01 to 227.17 GPa. Based on microscopic and theoretical results, we elucidate these thickness-dependent behaviors and statistical data deviation with a bilayer model, which consists of a surface layer and a bulk-like layer. The analytical results show that the ∼3.1 nm surface layer has a significant elastic softening compared to the bulk-like layer, while the extracted modulus of the bulk-like layer shows a variation of ∼40 GPa. This variation is considered as a combined contribution from oxygen deficiency presenting in SrTiO 3 membranes, and the alignment between applied strain and the crystal orientation. Upon comparison of the extracted elastic properties and electrostatic control capability to those of other typical gate dielectrics, the superior performance of single-crystalline SrTiO 3 membranes has been revealed in the context of flexible gate dielectrics, indicating the significant potential of their application in high-performance flexible 2D electronics.

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Section: Resultssupporting

confidence: 73%

Elastic Properties of Low-Dimensional Single-Crystalline Dielectric Oxides through Controlled Large-Area Wrinkle Generation

Meng,

Shi,

Zhang

et al. 2024

ACS Appl. Mater. Interfaces

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“…In short, the principal biaxial moduli of an anisotropic (with 0 H  ) cubic thin film will have stationary points on at least three distinct planes: {001}, {110} and {hhl} inclined to (001) by either 21  or 22  depending upon the sign of H. A maximum of two more planes with stationary points may be present based on the two conditions in Eq. (31).…”

Section: Global Extrema Of the Biaxial Modulusmentioning

confidence: 99%

The biaxial modulus of single crystal cubic thin films under an equibiaxial strain

2022

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“…[25] In order to develop surface elasticity theory, another theoretical model was established by introducing surface slice thickness, named core-shell model. [26,27] The core-shell model was used to extract nanowire mechanical behavior, [26] nanofilm Young's modulus, [28] and nanofilm self-equilibrium, and self-bending characteristics, etc. [29] There rises a problem in both coresurface model and core-shell model.…”

Section: Introductionmentioning

confidence: 99%

Rolling structure from bilayer nanofilm by mismatch

Geng

Gao

et al. 2023

Chinese Phys. B

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A continuum theoretical scheme for self rolled-up nanotubes from bilayers by mismatch was obtained by considering surface elasticity, surface stress and symmetry lowering effects. For an ultrathin nanofilm with only several nanometers, isotropic mismatch and isotropic surface stress usually induce anisotropic rolling behavior. The isotropic Timoshenko formula should be modified anisotropically to interpret the mechanical behavior of anisotropic rolling structure of nanotubes accurately. The nanofilm rolled up in tangential direction while remain straight in cylindrical direction theoretically. Therefore, this paper considered the anisotropic shape of nanotubes. Along cylindrical direction, although it maintains straight and its residual strain is uniform, the stress varies through radial direction due to the Poisson’s effect of tangential strain. The applications of current theory to Si-Si nanotube, InAs-GaAs nanotube and InGaAs-Cr nanotube systems showed good agreement with experimental data. Besides surface elasticity and surface stress effects, the symmetry breaking and the anisotropic rolling structure are also of great importance in theoretical description of mechanical behavior of rolled-up nanotubes.

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Surface elasticity and surface slice thickness effects on the elastic properties of nanofilms

Cited by 10 publications

References 32 publications

Elastic Properties of Low-Dimensional Single-Crystalline Dielectric Oxides through Controlled Large-Area Wrinkle Generation

Elastic Properties of Low-Dimensional Single-Crystalline Dielectric Oxides through Controlled Large-Area Wrinkle Generation

The biaxial modulus of single crystal cubic thin films under an equibiaxial strain

Rolling structure from bilayer nanofilm by mismatch

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