caa a22 4500 606194053 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00030-014-0291-0 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0291-0 Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length [Elektronische Daten] [Gianni Dal Maso, Gianluca Orlando, Rodica Toader] 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. Springer Basel, 2014 Cracked domains nationallicence Energy release rate nationallicence Higher order derivatives nationallicence Asymptotic expansion of solutions nationallicence Dal Maso Gianni SISSA, Via Bonomea 265, 34136, Trieste, Italy aut Orlando Gianluca SISSA, Via Bonomea 265, 34136, Trieste, Italy aut Toader Rodica DIMI, Università di Udine, Via delle Scienze 206, 33100, Udine, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 449-476 1021-9722 22:3<449 2015 22 30 https://doi.org/10.1007/s00030-014-0291-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0291-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dal Maso Gianni SISSA, Via Bonomea 265, 34136, Trieste, Italy aut NATIONALLICENCE 700 1- Orlando Gianluca SISSA, Via Bonomea 265, 34136, Trieste, Italy aut NATIONALLICENCE 700 1- Toader Rodica DIMI, Università di Udine, Via delle Scienze 206, 33100, Udine, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 449-476 1021-9722 22:3<449 2015 22 30