A model for the quasistatic growth of cracks with fractional dimension
Gianni Dal Maso, Marco Morandotti
TL;DR
This paper introduces a variational model for the quasistatic growth of cracks with fractional dimensions in brittle materials, establishing conditions for the existence of such crack evolutions in different geometric settings.
Contribution
It provides a minimal set of properties for admissible cracks ensuring quasistatic evolution, extending to both antiplane and planar cases.
Findings
Existence of quasistatic crack evolution under minimal conditions
Model applicable to both antiplane and planar crack growth
Framework for fractional-dimensional crack analysis
Abstract
We study a variational model for the quasistatic growth of cracks with fractional di- mension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic evolution. Both the an- tiplane and the planar cases are treated.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Contact Mechanics and Variational Inequalities