English

Data-Driven Rate-Dependent Fracture Mechanics

Materials Science 2021-12-16 v1

Abstract

We extend the model-free data-driven paradigm for rate-independent fracture mechanics proposed in Carrara et al. (2020), Data-driven Fracture Mechanics, Comp. Meth. App. Mech. Eng., 372 to rate-dependent fracture and sub-critical fatigue. The problem is formulated by combining the balance governing equations stemming from variational principles with a set of data points that encodes the fracture constitutive behavior of the material. The solution is found as the data point that best satisfies the meta-stability condition as given by the variational procedure and following a distance minimization approach based on closest-point-projection. The approach is tested on different setups adopting different types of rate-dependent fracture and fatigue models affected or not by white noise.

Keywords

Cite

@article{arxiv.2103.12396,
  title  = {Data-Driven Rate-Dependent Fracture Mechanics},
  author = {Pietro Carrara and Michael Ortiz and Laura De Lorenzis},
  journal= {arXiv preprint arXiv:2103.12396},
  year   = {2021}
}

Comments

Submitted for Review in Journal of Mechanics and Physics of Solids (JMPS)

R2 v1 2026-06-24T00:27:48.448Z