
This study systematically investigated the synergistic mechanism of geometric confinement and interfacial confinement in polycarbonate (PC)/graphene heterostructures using in-situ MEMS tensile testing, Raman spectroscopy, and atomic force microscopy. The researchers found that when the polymer thickness is reduced to the molecular scale, the PC molecular chains transition from random coils to a flattened conformation spread along the graphene surface. This significantly enhances the interfacial anchoring effect and stress transfer efficiency, suppresses chain slippage, and promotes chain-stretching-dominated deformation.
Consequently, the elastic modulus of the composite structure significantly exceeds the prediction of the classical Rule of Mixtures, accompanied by a ductile-to-brittle fracture transition. This study reveals the microscopic mechanism behind the anomalous enhancement of polymer-graphene heterostructures, providing a new theoretical basis for the design of high-performance layered nanocomposites.

Figure 1 |
(a) Schematic diagram of the in-situ scanning electron microscopy (SEM)-based PTP testing setup.
(b) Typical force-displacement curve of the PGH with a thickness of 15 nm.
(c) Experimentally measured composite modulus of the PGHs as a function of the graphene volume fraction. The blue curve represents the theoretical prediction based on the Rule of Mixtures (ROM).
(d) Calculated effective modulus of the PC matrix; the error bars encompass the uncertainties arising from both the measured PGH modulus and the experimentally determined graphene modulus.

Figure 2 |
(a) Variation of the normalized Young's modulus of PC (Mw ≈ 44.6 kg/mol) in PGHs and freestanding PC films relative to the bulk PC modulus.
(b) Schematic diagram of the interaction mechanism at the graphene-polymer interface under different thicknesses.
(c, d) Evolution trends of in-situ Raman spectra for 15 nm (c) and 80 nm (d) PGHs with increasing strain levels.
(e) Comparison of the Raman 2D band shift rates between 15 nm and 80 nm PGH composites during tensile loading.

Figure 3 |
(a) Representative stress–strain curves of PGHs with different polymer thicknesses ( = 15, 41, and 108 nm).
(b) Variation of fracture stress and failure strain of PGHs as a function of polymer thickness (ranging from 15 to 108 nm).
(c–e) In-situ scanning electron microscopy (SEM) images showing the tensile deformation of PGH specimens with thicknesses of 108 nm (c), 41 nm (d), and 15 nm (e), respectively.

Figure 4 | (a, c) Scanning electron microscopy (SEM) images and corresponding Raman D-band intensity maps of PGHs with thicknesses of 15 nm (a) and 108 nm (c) after fracture, showing spatially distributed lattice damage in the suspended graphene regions. (b) Schematic diagram of the fracture mechanism of ultra-thin PGHs, which is primarily dominated by chain stretching. (d) Schematic diagram of the fracture mechanism of thick PGHs, which is primarily dominated by chain slippage.

Figure 5 |
(a) Schematic diagram of the macroscopic layered structure constructed by stacking multiple PGHs layer-by-layer.
(b) Cross-sectional SEM micrograph of a typical 20-layer PGH laminated structure with a single-layer thickness of 80 nm.
(c) Representative tensile stress–strain curves of the 20-layer PGH laminated structures with different single-layer thicknesses (15, 40, and 80 nm).
(d) Variation of the effective elastic modulus of the PGH laminated structures as a function of the graphene volume fraction, highlighting the deviation from the classical Rule of Mixtures (ROM) prediction as the confinement effect strengthens.
(e) Comparison of the relationship between elastic modulus and graphene volume fraction among the PGHs and PGH laminated structures in this study, previously reported graphene-based layered heterostructures, and traditional graphene-polymer composites.
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