A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION
2011 ◽
Vol 21
(10)
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pp. 2019-2047
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Keyword(s):
A Priori
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In the setting of antiplane linearized elasticity, we show the existence of quasistatic evolutions of cracks in brittle materials by using a vanishing viscosity approach, thus taking into account local minimization. The main feature of our model is that the path followed by the crack need not be prescribed a priori: indeed, it is found as the limit (in the sense of Hausdorff convergence) of curves obtained by an incremental procedure. The result is based on a continuity property for the energy release rate in a suitable class of admissible cracks.
2003 ◽
Vol 18
(10)
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pp. 2379-2386
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1981 ◽
Vol 41
(3)
◽
pp. 401-412
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Keyword(s):
1989 ◽
Vol 37
(5)
◽
pp. 619-645
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Keyword(s):
Keyword(s):