%0 Journal Article
%D 2014
%T Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length
%A Gianni Dal Maso
%A Gianluca Orlando
%A Rodica Toader
%K cracked domains, energy release rate, higher order derivatives, asymptotic expansion of solutions
%X We consider the weak solution of the Laplace equation in a planar domain with a straight crack, prescribing a homogeneous Neumann condition on the crack and a nonhomogeneous Dirichlet condition on the rest of the boundary. For every k we express the k-th derivative of the energy with respect to the crack length in terms of a finite number of coefficients of the asymptotic expansion of the solution near the crack tip and of a finite number of other parameters, which only depend on the shape of the domain.
%I SISSA
%G en
%U http://hdl.handle.net/1963/7271
%1 7316
%2 Mathematics
%4 1
%# MAT/05 ANALISI MATEMATICA
%$ Submitted by Gianni Dal Maso (dalmaso@sissa.it) on 2014-03-11T15:17:50Z
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%R 10.1007/s00030-014-0291-0