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arXiv · 2609.29614

Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation

Pierluigi Cesana·Edoardo Fabbrini·Andrés A. León Baldelli·Marco Morandotti
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Abstract

We present a numerical formulation for the resolution of finite systems of interacting edge dislocations and wedge disclinations. The approach is based on a finite element discretization of a fourth-order elliptic boundary value problem arising from the mechanical equilibrium equations of plane-strain linear elasticity in the presence of kinematic incompatibilities. The numerical implementation follows a continuous interior penalty discontinuous Galerkin framework and relies on the solution of a finite set of local cell problems. Our method is validated against analytical benchmarks and used to explore several non-trivial dislocation-disclination configurations, illustrating how translational and rotational incompatibilities shape the stress state of the body.

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Pierluigi Cesana, Edoardo Fabbrini, Andrés A. León Baldelli, Marco Morandotti. 2026-08-28. Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation. https://arxiv.org/abs/2609.29614

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