Three-dimensional computational homogenization of cracked composite materials using state-based peridynamics and MPI parallelization

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Xia, Wenxuan and Oterkus, Erkan and Oterkus, Selda (2026) Three-dimensional computational homogenization of cracked composite materials using state-based peridynamics and MPI parallelization. Composite Structures, 382. 120085. ISSN 0263-8223 (https://doi.org/10.1016/j.compstruct.2026.120085)

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Abstract

This paper presents a scalable three-dimensional computational framework for the homogenization of cracked composite materials using the ordinary state-based peridynamic formulation. The method integrates a generalized bond-breaking algorithm, based on a modified Möller-Trumbore raytracing scheme, which transforms arbitrary crack surfaces into triangle mesh representations, enabling robust and geometry-independent fracture detection. Volumetric periodic boundary conditions are implemented to ensure energetic consistency and compatibility with the Hill–Mandel macro-homogeneity condition. To address the substantial computational cost of 3D nonlocal models, the framework employs MPI-based domain decomposition combined with PETSc iterative solvers, achieving strong parallel scalability for representative volume elements (RVEs) containing millions of material points. Numerical experiments on fibre-reinforced composite RVEs, both intact and pre-cracked, demonstrate the framework’s ability to capture complex three-dimensional fracture patterns and accurately predict effective stiffness properties. The proposed approach offers a robust, general purpose, and high performance solution for microscale fracture analysis and homogenization in composite materials, with potential applicability to broader classes of heterogeneous and damage-prone materials.

ORCID iDs

Xia, Wenxuan, Oterkus, Erkan ORCID logoORCID: https://orcid.org/0000-0002-4614-7214 and Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279;
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