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The parameters of the triangular domain wall network in bilayer graphene witha simultaneously twisted and biaxially stretched bottom layer are studied usingthe two-chain Frenkel-Kontorova model. It is demonstrated that if the graphenelayers are free to rotate, they prefer to stay co-aligned upon stretching thebottom layer and the regular triangular network of tensile domain walls isformed upon the commensurate-incommensurate phase transition. If the anglebetween the layers is fixed, the regular triangular network of shear domainwalls is observed at zero elongation of the bottom layer. Upon stretching thebottom layer, however, the domain walls transform into the tensile ones and thesize of the commensurate domains decreases. We also show that the parameters ofthe isosceles triangular domain wall network in twisted bilayer graphene undershear strain can be determined through purely geometrical considerations.Experimental analysis of the orientation of domain walls and period of thetriangular network would, on the one hand, contribute to understanding of theinterlayer interaction of graphene layers, and, on the other hand, serve fordetection of relative strains and rotation between the layers. Vice versaexternal strains can be used to control the parameters of the triangular domainwall network and, therefore, electronic properties of twisted bilayer graphene.

Energetics and Structure of Domain Wall Networks in Minimally Twisted Bilayer Graphene under Strain