Causality constraint for fractures with linear slip weakening

Citation
L. Knopoff et al., Causality constraint for fractures with linear slip weakening, J GEO R-SOL, 105(B12), 2000, pp. 28035-28043
Citations number
14
Categorie Soggetti
Earth Sciences
Journal title
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
ISSN journal
21699313 → ACNP
Volume
105
Issue
B12
Year of publication
2000
Pages
28035 - 28043
Database
ISI
SICI code
0148-0227(200012)105:B12<28035:CCFFWL>2.0.ZU;2-0
Abstract
We consider the problem of dynamic fracture growth characterized by linear slip-weakening properties. If the problem is attacked by standard linear sp ectral methods, we show that the elastic wave radiation from the slip in th e weakening zone has noncausal terms. The nonphysical behavior is specifica lly attributable to the application of a weak causality constraint in stand ard linear spectral analysis to a problem with an active boundary condition . We give the correct analytic solution, derived from linear spectral analy sis applied to a boundary integral procedure.