The possibility to predict crack patterns on dynamic fracture

• Main Authors: Alves, Lucas M, Lobo, Rui F. R. M
• Format: Journal Article
• Language: English
• Published: 01-03-2016
• Subjects: Physics - Chaotic Dynamics; Physics - Materials Science
• DOI: 10.48550/arxiv.1603.00372

The Maximum Energy Dissipation Principle (MEDP) for dynamics fracture, far
from equilibrium, proposed by Slepyan was modified. This modification includes
a decoupling between the injected and dissipated energy by adding of a time
delay and a description of the ruggedness produced by dissipation patterns. A
time delayed energy conservation equation is deduced and dynamical equations
that describe the dynamical system evolution were obtained in analogous way to
the Slepyan's calculations. The conditions for the rising of the instability
process were presented by a bifurcation map. These results shown that the
theoretical framework proposed can describe the instability process along with
dissipation patterns formation. This proposal was applied to dynamics fracture
where it was possible to explain the results obtained by Fineberg-Gross for the
fast crack propagation in PMMA. For unstable or dynamical crack propagation it
is shown the possibility to predict crack patterns using this MEDP for other
experimental configurations.