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| We obtain a cohesive fracture model as $\Gamma$-limit of damage models. The elastic coefficient in these damage models is computed from the damage variable $v$ through
a function $f_k$ of the form $f_k(t)=\min\{1, \eps_k^{1/2} f(t)\}$, with $f$
diverging for $v$ close to the value describing undamaged material. The resulting
fracture energy is linear in the opening $s$ at small values of $s$ and
has a finite limit as $s\to\infty$, and can be determined by solving a
one-dimensional vectorial optimal profile problem. |
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