sentences:  Non-dimensionalized values of formula_208 are introduced at this stage that are defied as
  
  In addition, Maugis proposed a parameter formula_141 which is equivalent to the Tabor parameter formula_199 .This parameter is defined as
  
  where the step cohesive stress formula_131 equals to the theoretical stress of the Lennard-Jones potential
  
  Zheng and Yu  suggested another value for the step cohesive stress
  
  to match the Lennard-Jones potential, which leads to
  
  Then the net contact force may be expressed as
  
  and the elastic compression as
  
  The equation for the cohesive gap between the two bodies takes the form
  
  This equation can be solved to obtain values of formula_220 for various values of formula_23 and formula_141.For large values of formula_141, formula_224 and the JKR model is obtained.