Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion

Corrugation Reinforced Composites: A Method for Filling Holes in Material‐Property Space

“…It is worth noting at this time that this study strictly focuses on a sinusoidal corrugated structure. This sinusoidal corrugated geometry is commonly used in the study of corrugated materials, [12][13][14]18,[21][22][23][24][25][26][27][28][29][30][31] however it is not the only corrugated geometry used and many other studies use trapezoidal corrugations, [15,19,20] and circular corrugations. [14][15][16] All of these corrugation geometries display similar increasing work hardening behavior when loaded in tension and the main difference between the geometries lies in the manner and location in which the unbending is focused, the amount of force required to unbend to a certain degree and the corresponding strain at which complete unbending has occurred.…”

“…Ultimately, this leads to the material necking at a larger value of strain compared to a straight sample. With regards to corrugation reinforced composites, studies by Chiskis and Parnes, [23] Chou and Takahashi, [24] Abdelrahman and Nayfeh, [25] Khatam and Pindera, [26][27][28][29] Bouaziz, [22] Shi et al, [30] and Boke [21] have found that increased work hardening behavior is possible, when the unbending corrugation is embedded in a matrix material. This can lead to improved necking strains when compared to a straight reinforced composite.…”

The Behavior of Lateral Crushed of Corrugated Composite Plates

“…Energy absorption characteristics are one of the most important considerations in selecting materials for many engineering applications, such as crushing elements in cars, bicycle helmets, hard hats used in construction sites, and protective packaging of fragile goods (Xue et al, 2000). There have been a number of studies that investigate the effect of corrugated geometry on the behavior of isolated corrugations (Fraser et al, 2020;Elbkory and Al ssahly, 2018;Fraser et al, 2014;Bouaziz, 2013;Dayyani et al, 2012;Boke, 2012;Thill et al, 2010;Ge et al, 2010;and Chiskis & Parnes, 1998). With regard to the composite materials with a corrugated reinforcement geometry, it is of interest to determine under what conditions the use of a corrugated geometry improves the necking strain of the composite.…”

Increasing Necking Strain through Corrugation: Identifying Composite Systems That Can Benefit from Corrugated Geometry

“…The necking strain of a material can be increased by introducing a wavy or corrugated reinforcement. There have been a number of studies that investigate the effect of a corrugated geometry on the behavior of isolated corrugations [ 1 , 2 , 3 , 4 , 5 , 6 ], sandwich panels with a corrugated core [ 7 , 8 , 9 ], and composites materials with corrugated reinforcements [ 3 , 4 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ]. Dayyani et al [ 1 ] and Thill et al [ 2 ] both explored the behavior of isolated trapezoidal corrugated structures, whereas Bouaziz [ 3 ], Boke [ 4 ], Ge [ 5 ], and Fraser et al [ 6 ] studied and modeled the behavior of isolated sinusoidal corrugated structures.…”

“…With regard to the composite materials with a corrugated reinforcement geometry, it is of interest to determine under what conditions the use of a corrugated geometry improves the necking strain of the composite. The effect of material properties has been explored for corrugated composites in elastic systems by Chiskis and Parnes [ 12 ], Chou and Takahashi [ 13 ], and Khatam and Pindera [ 16 ]. Abdelrahman and Nayfeh [ 14 ] used analytical micromechanical modeling to predict the stress distribution within a corrugated fiber reinforcement in an elastic matrix, providing valuable information on the local stress state in the composite material, although the model was limited to elastic materials and did not provide results on the global stress–strain behavior of the composite.…”