3 papers
cond-mat.mtrl-sci2026
A blended approach for evolving phase fields using peridynamics: Cyclic loading in quasi-brittle fracture
Hayden Bromley, Robert Lipton
A field theory is presented for predicting damage and fracture in quasi brittle materials. It is an expression of Newton's second law for an elastic-plactic continuum. The theory s…
cond-mat.soft2025
Crushing, Comminution and Fracture: Extreme Particle Deformation in Three-Dimensional Granular Aggregates
Debdeep Bhattacharya, Davood Damircheli, Robert P. Lipton
We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Depar…
math.AP2024
Energy balance and damage for dynamic brittle fracture from a nonlocal formulation
Robert P. Lipton, Debdeep Bhattacharya
A nonlocal model of peridynamic type for dynamic brittle damage is introduced consisting of two phases, one elastic and the other inelastic. Evolution from the elastic to the inela…