Numerical Computational Method

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César Grande - One of the best experts on this subject based on the ideXlab platform.

Abel Lujan - One of the best experts on this subject based on the ideXlab platform.

M. Del Mar Canedo - One of the best experts on this subject based on the ideXlab platform.

José Luis González - One of the best experts on this subject based on the ideXlab platform.

Khalil Maalej - One of the best experts on this subject based on the ideXlab platform.

  • quasi static fracture global minimizer of the regularized energy
    Applied Mechanics and Materials, 2012
    Co-Authors: Hamdi Hentati, Radhi Abdelmoula, Aref Maalej, Khalil Maalej
    Abstract:

    Fracture mechanics has been revisited aimed at modeling brittle fracture based on Griffith viewpoint. The purpose of this work is to present a Numerical Computational Method for solving the quasi static crack propagation based on the variational theory. It requires no prior knowledge of the crack path or of its topology. Moreover, it is capable of modeling crack initiation. At the Numerical level, we use a standard linear (P1) Lagrange finite element Method for space discretization. We perform Numerical simulations of a piece of brittle material without initial crack. We show also the necessity of adding the backtracking algorithm to alternate minimizations algorithm to ensure the convergence of the alternate minimizations algorithm to a global minimizer.

  • Quasi Static Fracture – Global Minimizer of the Regularized Energy
    Applied Mechanics and Materials, 2012
    Co-Authors: Hamdi Hentati, Radhi Abdelmoula, Aref Maalej, Khalil Maalej
    Abstract:

    Fracture mechanics has been revisited aimed at modeling brittle fracture based on Griffith viewpoint. The purpose of this work is to present a Numerical Computational Method for solving the quasi static crack propagation based on the variational theory. It requires no prior knowledge of the crack path or of its topology. Moreover, it is capable of modeling crack initiation. At the Numerical level, we use a standard linear (P1) Lagrange finite element Method for space discretization. We perform Numerical simulations of a piece of brittle material without initial crack. We show also the necessity of adding the backtracking algorithm to alternate minimizations algorithm to ensure the convergence of the alternate minimizations algorithm to a global minimizer.