J. Planas et M. Elices, ASYMPTOTIC ANALYSIS OF A COHESIVE CRACK .2. INFLUENCE OF THE SOFTENING CURVE, International journal of fracture, 64(3), 1993, pp. 221-237
This paper presents a numerical method well suited to solve the integr
al equation governing the asymptotic behavior of a cohesive crack, and
uses it to analyze the influence of the softening curve on the cracki
ng response of large specimens. The analysis is performed with two mai
n objectives in mind: (1) providing criteria to determine when a simpl
ified linear elastic fracture mechanics (LEFM) approach can be applied
, and (2) providing possible procedures of extracting information on t
he softening behavior from experimental data. The main conclusion is t
hat the effective crack extension prior to peak is nearly determined b
y the length of the softening curve (the critical crack opening) and s
o is the deviation from LEFM. Furthermore, a simplified R-curve approa
ch is proposed as an approximate alternative to solving the governing
integral equation.