Instability in dynamic fracture

J Fineberg, M Marder - Physics Reports, 1999 - Elsevier
The fracture of brittle amorphous materials is an especially challenging problem, because
the way a large object shatters is intimately tied to details of cohesion at microscopic scales …

Atomistic aspects of crack propagation in brittle materials: Multimillion atom molecular dynamics simulations

CL Rountree, RK Kalia, E Lidorikis… - Annual Review of …, 2002 - annualreviews.org
▪ Abstract Atomistic aspects of dynamic fracture in a variety of brittle crystalline, amorphous,
nanophase, and nanocomposite materials are reviewed. Molecular dynamics (MD) …

Using deep learning to predict fracture patterns in crystalline solids

YC Hsu, CH Yu, MJ Buehler - Matter, 2020 - cell.com
Fracture is a catastrophic process whose understanding is critical for evaluating the integrity
and sustainability of engineering materials. Here, we present a machine-learning approach …

Characteristics of dynamic brittle fracture captured with peridynamics

YD Ha, F Bobaru - Engineering Fracture Mechanics, 2011 - Elsevier
Using a bond-based peridynamic model, we are able to reproduce various characteristics of
dynamic brittle fracture observed in experiments; crack branching, crack-path instability …

Phase-field model of mode III dynamic fracture

A Karma, DA Kessler, H Levine - Physical Review Letters, 2001 - APS
We introduce a phenomenological continuum model for the mode III dynamic fracture that is
based on the phase-field methodology used extensively to model interfacial pattern …

Convergence of peridynamics to classical elasticity theory

SA Silling, RB Lehoucq - Journal of Elasticity, 2008 - Springer
The peridynamic model of solid mechanics is a nonlocal theory containing a length scale. It
is based on direct interactions between points in a continuum separated from each other by …

Concurrent coupling of length scales: methodology and application

JQ Broughton, FF Abraham, N Bernstein, E Kaxiras - Physical review B, 1999 - APS
A strategic objective of computational materials physics is the accurate description of
specific materials on length scales approaching the meso and macroscopic. We report on …

Coarse-grained molecular dynamics and the atomic limit of finite elements

RE Rudd, JQ Broughton - Physical review B, 1998 - APS
We develop a technique for simulation of the mechanics of micron-scale solid systems:
coarse-grained molecular dynamics (CGMD). It captures the important atomistic effects …

Prediction and control of fracture paths in disordered architected materials using graph neural networks

K Karapiperis, DM Kochmann - Communications Engineering, 2023 - nature.com
Architected materials typically rely on regular periodic patterns to achieve improved
mechanical properties such as stiffness or fracture toughness. Here we introduce a class of …