Structural reinforcement in a spring-block model of stress-induced fracture propagation
Abstract
We present a mechanism-based model of fracture propagation in a two-dimensional elastic sheet subjected to biaxial stretching. The time evolution of lattice stretching is formulated using a set of coupled nonlinear differential equations describing the network dynamics of masses connected by springs. We show that reinforcement based on a static Gaussian spatial distribution of failure thresholds is effective in hindering tear propagation, that is, it delays the onset of breakage and reduces the total fractured sites at equilibrium time. The method presented here is general — it can incorporate any type of load distribution and test any reinforcement procedures.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
