On a numerical method for fracture mechanics

The energy release rate, G, is the derivative of the energy with respect to the crack length. Using Lagrangian coordinates, we can derive an expression of G as a surface integral, which is mathematically equivalent to other well known expressions as the J integral of Rice or the expression in terms...

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Main Authors: Destuynder, P., Djaoua, M., Lescure, S.
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Lescure, S.
description The energy release rate, G, is the derivative of the energy with respect to the crack length. Using Lagrangian coordinates, we can derive an expression of G as a surface integral, which is mathematically equivalent to other well known expressions as the J integral of Rice or the expression in terms of stress intensity factors. Using interior error estimates, we derive an error estimate of O (h l−ɛ) on G by using piecewise linear elements. For sake of simplicity, we present these estimates for the Laplace operator. The numerical trials, which show a very good stability of the method, were performed for the elasticity system.
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title On a numerical method for fracture mechanics
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