Refined Dugdale plastic zones of an external circular crack

A unified treatment of axisymmetric adhesive contact problems using the harmonic potential function method

“…An illuminating discussion on using the harmonic function method to solve axisymmetric mixed boundary value problems and many useful expressions have been provided by Barber (1983). Also, some important contributions to fracture mechanics have recently been made by Chaiyat et al (2008) and Jin et al (2008) utilizing this method. The current formulation of non-adhesive and adhesive contact problems is greatly facilitated by the findings of these studies.…”

“…Eqs. (3) and (4) were recently used by Jin et al (2008), with specified values of r i and r o , to solve an external circular crack problem. Eq.…”

“…On the other hand, the harmonic potential function method for axisymmetric elasticity problems developed by Green (1949) and Collins (1959Collins ( , 1963 and elaborated in Green and Zerna (1968) has been found to exhibit significant advantages in solving axisymmetric half-space problems with mixed boundary conditions (e.g., Barber, 1983;Chaiyat et al, 2008;Jin et al, 2008). However, this method has not been systematically explored for its use in studying adhesive contact problems of axisymmetric elastic bodies, for which the JKR model, the DMT model, and the M-D model and its variants have been developed using the Hertz theory (1882) or Sneddon's (1965) solution.…”

Crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal

“…In fact, Dugdale model is very effective and has been verified by experiments [7,3]. Due to its simplicity and validity, the idea underlying the Dugdale model has been widely adopted and developed to dispose a variety of crack or cracklike problems [3,29,33,4,24,16,21]. For instance, applying Dugdale's approach, Maugis [24] successfully explained the transition of JKR-DMT adhesive contact theory.…”

Stress intensify factors for an external circular crack at the interface of a bi-material in shear–compression

“…Li et al estimated stress intensity factors for an external crack of arbitrary shape (Li et al, 1998). Jin et al determined Dugdale plastic zones for an external circular crack (Jin et al, 2008). Selvadurai analyzed an external circular crack with fiber bridging in a composite material and evaluated mode I stress intensity factor (Selvadurai, 2010).…”