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The trade-off between strength and ductility has plagued the design ofmacroscopic assemblies of two-dimensional materials for a long time. In orderto break the strength-ductility paradox, the design of self-foldedtwo-dimensional nanomaterial (SF-2DNM) has been recently proposed with theinspiration from the folded nanostructures of natural silks. Such foldingstrategy is revealed to greatly enhance the ductility of overall assemblywithout much sacrifice of the excellent tensile strength of two-dimensionalmaterials. However, the dependences of the elastic properties of SF-2DNMs onthe material properties of building blocks and the geometries of foldedstructures have not been specifically clarified in previous studies. In thispaper, we thus develop a theoretical model to describe the elastic propertiesof SF-2DNMs based on the shear-lag analysis. The load transfer behaviors andfailure modes of SF-2DNMs are demonstrated with this model. The Young's modulusand tensile strength of SF-2DNMs are also predicted, further validated bymolecular dynamics simulations. This model brings insights into the elasticdeformation of SF-2DNMs under external tension. The structure-propertyrelationship revealed by this model would provide useful guidelines for therational design of SF-2DNMs in engineering applications.

Elastic properties of self-folded two-dimensional nanomaterials: a theoretical model validated by molecular dynamics simulations