Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing

ABSTRACT Additive Manufacturing (AM) processes create complex, process‐dependent material properties during printing that cannot be measured in advance and are governed by parameters, such as tool path, temperature history and cooling conditions. A Peridynamics (PD) correspondence framework is presented for simulating the entire AM process chain—printing, cooling and mechanical loading—to predict the resulting material strength. Polymer crystallisation of Polyether Ether Ketone (PEEK) captured via a dual‐kinetic model is implemented as a subroutine compatible with the Abaqus HETVAL interface; the resulting crystallinity governs the local nodal stiffness. Thermo‐mechanical coupling with convective heat transfer is handled within the PD correspondence formulation. A matrix‐based quasi‐static solver is coupled with an explicit velocity‐Verlet integrator for the fracture phase to eliminate the Courant–Friedrichs–Lewy (CFL) bottleneck of purely dynamic integration. The framework is validated on PEEK dogbone specimens (ASTM D638) for four environment temperatures, demonstrating qualitatively correct crack initiation and propagation and a speedup exceeding two orders of magnitude over a fully dynamic reference computation.

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Publication Details

Journal
PAMM
Published
2026-09-29
DOI
https://doi.org/10.1002/pamm.70243
Primary Topic
Numerical methods in engineering
Type
article
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article

Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing

Christian Willberg, Jan‐Timo Hesse
PAMM
Numerical methods in engineering
article

Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing

Christian Willberg, Jan‐Timo Hesse
article en

Abstract

ABSTRACT Additive Manufacturing (AM) processes create complex, process‐dependent material properties during printing that cannot be measured in advance and are governed by parameters, such as tool path, temperature history and cooling conditions. A Peridynamics (PD) correspondence framework is presented for simulating the entire AM process chain—printing, cooling and mechanical loading—to predict the resulting material strength. Polymer crystallisation of Polyether Ether Ketone (PEEK) captured via a dual‐kinetic model is implemented as a subroutine compatible with the Abaqus HETVAL interface; the resulting crystallinity governs the local nodal stiffness. Thermo‐mechanical coupling with convective heat transfer is handled within the PD correspondence formulation. A matrix‐based quasi‐static solver is coupled with an explicit velocity‐Verlet integrator for the fracture phase to eliminate the Courant–Friedrichs–Lewy (CFL) bottleneck of purely dynamic integration. The framework is validated on PEEK dogbone specimens (ASTM D638) for four environment temperatures, demonstrating qualitatively correct crack initiation and propagation and a speedup exceeding two orders of magnitude over a fully dynamic reference computation.

PAMMVol. 26(4)
Institute of Flight (US), Hochschule Magdeburg-Stendal (DE)
Openalex Percentile: Top 20%
Numerical methods in engineering
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Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing — Christian Willberg, Jan‐Timo Hesse · PAMM (2026) | TGRS Research Map | TGRS