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Ben-Zion, Y. and Lyakhovsky, V. (2002) Accelerated Seismic Release and Related Aspects of Seismicity Patterns on Earthquake Faults. Pure and Applied Geophysics, 159, 2385-2412.
https://doi.org/10.1007/s00024-002-8740-9

has been cited by the following article:

• TITLE: Fracture Network Mathematics

  AUTHORS: Daniel S. Brox

  KEYWORDS: Mode I, Mode II, Multi-Crack, Statistics, Singular Spectrum Analysis

  JOURNAL NAME: Journal of Modern Physics, Vol.17 No.2, February 6, 2026

  ABSTRACT: Analytic solutions for elastostatic displacement due to vertical/shear traction applied to the faces of a single crack in a 2D plane are reviewed in Section 2. The purpose of this review is to introduce mathematics relevant to specifying multi-crack elastostatic displacements. In Section 3, the relation between multi- crack elastostatic displacement fields and Riemann surface geometry is discussed. Section 4 explains why 2D multi-crack solutions appear limited to describe idealized cracks in 2 spatial dimensions, and conjectures how 3D fracture networks in the lithosphere can be described in terms of singular spectrum analysis of crack phase fields.