Existence of quasi-static crack evolution for atomistic systems

Badal R, Friedrich M, Seutter J (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Forces in Mechanics Elsevier

Book Volume: 9

Article Number: 100138

DOI: 10.1016/j.finmec.2022.100138

Abstract

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction potentials where we implement a suitable irreversibility condition modeling the breaking of atomic bonding. This leads to a delay differential equation depending on the complete history of the deformation at previous times. We prove existence of solutions and provide numerical tests for the prediction of quasi-static crack growth in particle systems.

Authors with CRIS profile

Rufat Badal Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Manuel Friedrich Professur für Angewandte Mathematik (Angewandte Analysis) Joscha Seutter Professur für Angewandte Mathematik (Angewandte Analysis)

Additional Organisation(s)

Graduiertenkolleg 2423 Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik

How to cite

APA:

Badal, R., Friedrich, M., & Seutter, J. (2022). Existence of quasi-static crack evolution for atomistic systems. Forces in Mechanics, 9. https://dx.doi.org/10.1016/j.finmec.2022.100138

MLA:

Badal, Rufat, Manuel Friedrich, and Joscha Seutter. "Existence of quasi-static crack evolution for atomistic systems." Forces in Mechanics 9 (2022).

BibTeX: Download