Mechanical Properties of Two-Dimensional Materials

Two-dimensional materials, comprising atomically thin layers such as graphene, transition metal dichalcogenides and boron nitride, exhibit exceptional mechanical characteristics driven by strong in-plane bonding and reduced dimensionality. Their intrinsic stiffness, strength and resilience arise from covalent networks, while interlayer interactions and defects govern phenomena such as sliding, bending and fracture. Elastic moduli approaching the terapascal range, tensile strengths of tens of gigapascals and high fracture toughness make these materials prime candidates for flexible electronics, nanoelectromechanical systems, composite reinforcements and membranes for filtration or sensing. Understanding failure mechanisms—whether through in-plane crack propagation, fatigue under cyclic loading or delamination at interfaces—is critical to reliable device design. Advances in experimental techniques, including on-chip tensile tests, nanoindentation and in situ electron microscopy, alongside multiscale computational methods such as molecular dynamics and machine-learning interatomic potentials, have greatly enhanced our ability to quantify and predict mechanical responses. The global drive towards lightweight, durable and stretchable technologies underscores the practical importance of tailoring two-dimensional materials’ mechanical performance through controlled synthesis, defect engineering and heterostructure assembly.

Research from Nature Portfolio

Recent studies have combined on-chip tension and controlled cracking methods to establish definitive metrics for monolayer graphene, reporting a Young’s modulus of approximately 950 GPa, tensile strength up to 110 GPa and a fracture toughness of 4.4 MPa m^1/2. Complementary in situ tensile testing of free-standing graphene has confirmed near-ideal elastic behaviour, with engineering strains up to 6 % and resilience in samples containing edge defects. Investigations into atomically thin boron nitride have shown that its mechanical strength remains largely independent of layer number, in stark contrast to graphene, due to stronger interlayer coupling that suppresses sliding and maintains integrity under indentation.

Mechanical Properties of Two-Dimensional Materials publication trend

The graph below shows the total number of articles in mechanical properties of two-dimensional materials across all publications each year (not limited to Nature Index journals).

Technical terms

Young’s modulus: Ratio of uniaxial stress to elastic strain, indicating stiffness.

Fracture toughness: Measure of a material’s resistance to crack propagation.

Fatigue: Progressive structural degradation under cyclic loading.

Interlayer sliding: Relative motion between adjacent atomic layers under shear or indentation.

Nanoindentation: Technique for probing local elastic and plastic responses via a sharp indenter.

References

1. Definitive engineering strength and fracture toughness of graphene through on-chip nanomechanics. Nature Communications (2024).
2. Elastic straining of free-standing monolayer graphene. Nature Communications (2020).
3. Mechanical properties of atomically thin boron nitride and the role of interlayer interactions. Nature Communications (2017).
4. Natural overlaying behaviors push the limit of planar cyclic deformation performance in few‐layer MoS2 nanosheets. InfoMat (2023).
5. Recent advances in the mechanics of 2D materials. International Journal of Extreme Manufacturing (2023).
6. Stiffer Bonding of Armchair Edge in Single‐Layer Molybdenum Disulfide Nanoribbons. Advanced Science (2023).