Evidence of a Critical time in Constrained Kinetic Ising models Eduardo Follana(*) and Felix Ritort(**)
We study the relaxational dynamics of the one-spin facilitated Ising model introduced by Fredrickson and Andersen. We show the existence of a critical time which separates an initial regime in which the relaxation is exponentially fast and aging is absent from a regime in which relaxation becomes slow and aging effects are present. The presence of this fast exponential process and its associated critical time is in agreement with some recent experimental results on fragile glasses. @S0163-1829~96!04426-8#
When boundary collocation method is used to obtain numerical solutions of KI and KII, the second term of the odd part of Williams stress function must be thrown by since this particular term is identical to zero. In this work a reasonable procedure to treat this metter is described. As an example of the application of the procedure, the calculation of the KII of a single edge cracked beam subjected to antisymmetric loading was performed. The agreement of the numerical results obtained by using present procedure with that by finite element method is excellent.