## 1 Introduction  
Defects of the crystal structure are naturally present in as-grown graphene, especially for large-scale growth methods. Defects can appear in response to external loads in order to relieve local stresses, during graphene syntheses, at high temperatures, and were extensively studied by different methods [1; 2; 3; 4]. Defects in graphene can considerably affect different properties of graphene: mechanical [3; 4; 5; 6; 7], electronic and transport [8; 9; 10], chemical activity [11], to name a few.  
One of the most common defects is the Stone-Walles (SW) defect which can appear due to the rotation of a C-C bond, with the transformation of the four adjacent hexagons into two pentagons and two heptagons [1; 12]. From the other point of view, SW defect is a dislocation dipole in which two edge dislocations with opposite Burgers vectors are displaced by one lattice unit [13; 14]. This pair of dislocations can be separated into a dislocation dipole with the dipole arm of different lengths. Usually, SW defects and dislocations result in graphene buckling which is also influenced by their special structure [13; 15; 16]. The strength of graphene is usually high, but it considerably depends on the presence of such topological defects and out-of-plane deformation. Defects change the mechanical properties of graphene [3; 4; 5; 6; 7; 17; 18; 19]. For example, the fracture strength of defective graphene depends on temperature and strain rate [20]. The inverse effect of temperature increase on the mechanical properties of defective and perfect graphene was found [21]. In [22] the effects of defects and doping on the mechanical properties of graphene are studied. It is found that the location of defects and their concentration are important factors for understanding the mechanical properties of graphene.  
The strength of graphene is highly important for the future development of high-performance graphene materials and devices for different areas, such as flexible electronics. One of the graphene structural peculiarities is wrinkling. The stability of graphene was discussed for a long time. The instability of two-dimensional (2D) structures at finite temperatures were discussed first by [PERSON] and [PERSON] [23; 24] and further by [PERSON] [25]. According to the so-called Mermin-Wagner theorem [25], long-wavelength fluctuations destroy the long-range order of two-dimensional crystals. However, the stability of the 2D material is achieved by ripple formation [26]. Indeed, single-layered graphene may spontaneously develop thermal ripples at finite temperatures [27; 28; 29]. Defect-induced ripples were also observed in other studies [30; 31].  
The effect of ripples on graphene properties is not a trivial question. In [32; 33], the stability of graphene was discussed. It was shown that even initially planar graphene can be transformed into rippled one under applied strain. Such ripples soften the elastic moduli, changing Poisson's ratio [34; 35]. However, graphene with monotonously distributed corrugations also demonstrates high strength [34]. Interestingly, that wrinkled graphene can even be used to increase the strength of metal matrix composites [36; 37].  
In the present work, systematical MD simulations are carried out to investigate the fracture behavior of graphene with dislocation dipoles with different arm lengths at zero, room, and finite temperatures. The point of this work is to understand how the fracture process will develop in the presence of ripples and defects.