Author

Kai Partmann

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Open access Oct 2026

A Stable Formulation for Wave‐Induced Fracture in Peridynamics

The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate...

Kai Partmann, Manuel Dienst, Christian Wieners et al. · Proceedings in Applied Mathe... · 0 citations

Preprint Aug 2026

A variational framework for bond-based peridynamics with spatially varying horizons and its asynchronous time integration

Bond-based peridynamics provides a non-local framework for modelling fracture without requiring spatial derivatives of the displacement field. However, when spatially varying horizons are used together with non-uniform discretisations, the classical single-horizon bond-based peridynamics formulation leads to asymmetric...

Prateek Prateek, Giuseppe Capobianco, Kai Partmann et al. · 0 citations