TY - JOUR
T1 - Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length
Y1 - 2014
A1 - Gianni Dal Maso
A1 - Gianluca Orlando
A1 - Rodica Toader
KW - cracked domains, energy release rate, higher order derivatives, asymptotic expansion of solutions
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/7271
U1 - 7316
U2 - Mathematics
U4 - 1
U5 - MAT/05 ANALISI MATEMATICA
ER -