A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture

Jadhav D, Phansalkar D, Weinberg K, Ortiz M, Leyendecker S (2025)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2025

Journal

International Journal for Numerical Methods in Engineering Wiley

DOI: 10.1002/nme.70025

Abstract

Phase field modeling of fracture has gained attention as a relatively simple and fundamental approach to predict crack propagation. However, the significant computational demands still pose challenges, particularly in dynamic simulations. To mitigate these challenges, we present a newly devised asynchronous variational integrator (AVI) for phase field modeling of dynamic fracture, implemented within the framework of the finite element library FEniCS. The AVI allows each spatial mesh element to progress independently with its own characteristic time step. In the new approach, displacement updates occur as usual at each time step, while the phase field is globally solved after the displacement update of the largest spatial mesh element rather than after each time step. Benchmark problems are investigated to assess the performance and reliability of the new method, revealing notable computational savings while effectively capturing intricate dynamic fracture behavior.

Authors with CRIS profile

Deepak Jadhav Graduiertenkolleg 2423/2 - Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik Dhananjay Phansalkar Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Involved external institutions

Universität Siegen DE Germany (DE) California Institute of Technology (Caltech) US United States (USA) (US)

How to cite

APA:

Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2025). A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.70025

MLA:

Jadhav, Deepak, et al. "A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture." International Journal for Numerical Methods in Engineering (2025).

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