A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
Gianni Dal Maso, Alessandro Giacomini, Marcello Ponsiglione
TL;DR
This paper establishes the existence of solutions for quasistatic crack growth in nonlinear elasticity and explores their qualitative properties, advancing the mathematical understanding of crack evolution in elastic materials.
Contribution
It provides the main existence theorem for the model by Dal Maso, Francfort, and Toader and analyzes qualitative features of the solutions.
Findings
Existence of solutions for quasistatic crack growth
Qualitative properties of the solutions analyzed
Advances understanding of crack evolution in nonlinear elasticity
Abstract
We present the main existence result for quasistatic crack growth in the model proposed by Dal Maso, Francfort, and Toader, and prove some qualitative properties of the solutions.
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Taxonomy
TopicsContact Mechanics and Variational Inequalities · Advanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations