An Equivalent Indentation Method for the External Crack with a Dugdale Cohesive Zone

Adhesive Boundary Element Method Using Virtual Crack Closure Technique

“…In the idealized environment where the effect of humidity, surface charges, and contaminants can be neglected, the short-range van der Waals force is dominant in the intermolecular attractions. Besides the classic thermal dynamic approach used in the pioneering work of Johnson, Kendall, and Roberts (Johnson et al, 1971) (JKR theory), fracture-adhesion analogy plays a dominant role in finding the analytical solutions in the theoretical study of adhesive contact (Maugis and Barquins, 1978;Greenwood and Johnson, 1981;Maugis, 1992;Johnson, 1995;Persson, 2002;Carbone and Mangialardi, 2008;Xu et al, 2014;Ciavarella, 2015;Menga et al, 2016;Ciavarella et al, 2018;Ciavarella et al, 2019;Jin and Yue, 2020). If the intermolecular attraction outside the contact area is neglected (i.e., the JKR limit), the adhesive interface is equivalent to a brittle crack whose static equilibrium is governed by the Griffith's criterion (Maugis and Barquins, 1978;Greenwood and Johnson, 1981;Johnson, 1995).…”

“…If the intermolecular attraction outside the contact area is neglected (i.e., the JKR limit), the adhesive interface is equivalent to a brittle crack whose static equilibrium is governed by the Griffith's criterion (Maugis and Barquins, 1978;Greenwood and Johnson, 1981;Johnson, 1995). The intermolecular attractions outside the contact area can be included through the cohesive zone modeling, and the closed-form solution may be obtained if simplified cohesive laws are used [e.g., the Dugdale model (Maugis, 1992;Ciavarella et al, 2019;Jin and Yue, 2020) or the double Hertzian/Westergaard model (Greenwood and Johnson, 1998;Jin et al, 2016)].…”