Work

An analytic element model for highly fractured elastic media

Year: 2021

Type: article

Abstract: We present an analytic formulation for an elastic medium under uniform stress and in plane strain, with a very large number of cracks that are allowed to intersect. The singularities at the tips of the cracks are represented exactly; the solution is written in terms of series expansions of negative powers of a complex variable defined outside the unit circle in a complex reference plane. We modeled an assembly of 10,000 cracks and show stress trajectories both for the whole model and for individual cracks, chosen at random from the assembly.

Source: International Journal for Numerical and Analytical Methods in Geomechanics

DOI: 10.1002/nag.3300

Authors: Otto D.L. Strack, Erik A.L. Toller

Institutions: University of Minnesota, Uppsala University

Language: English

Topic: Rock Mechanics and Modeling

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,800

Funder: Trafikverket