In the present paper we numerically investigate and validate a variational smeared model for cohesive crack, recently proposed and theoretically justified by Γ-convergence. To achieve this main goal, we first analyze the response of a bar subjected to traction. Possible solutions are discussed, reconstructing the classical cohesive fracture energy and its related stress-crack opening law through a backtracking procedure. Preliminary 2D investigations are also conducted by using a regularized version of the adopted formulation. This permits to explore the transition phase of the damage evolution and to determine the peculiarities of the model, such as mesh-objectivity and Γ-convergence as damage concentration is forced. Therefore, the numerical simulations confirm the analytical results and put the basis for further engineering applications and possible improvements of the model.
Numerical insight of a variational smeared approach to cohesive fracture / Freddi, Francesco; Iurlano, F.. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - 98:(2017), pp. 156-171. [10.1016/j.jmps.2016.09.003]
Numerical insight of a variational smeared approach to cohesive fracture
FREDDI, Francesco;
2017-01-01
Abstract
In the present paper we numerically investigate and validate a variational smeared model for cohesive crack, recently proposed and theoretically justified by Γ-convergence. To achieve this main goal, we first analyze the response of a bar subjected to traction. Possible solutions are discussed, reconstructing the classical cohesive fracture energy and its related stress-crack opening law through a backtracking procedure. Preliminary 2D investigations are also conducted by using a regularized version of the adopted formulation. This permits to explore the transition phase of the damage evolution and to determine the peculiarities of the model, such as mesh-objectivity and Γ-convergence as damage concentration is forced. Therefore, the numerical simulations confirm the analytical results and put the basis for further engineering applications and possible improvements of the model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.