Working Note I: 36-Node Boundary Matching and Relaxation in Homotypic Dual-Core (1D, 0D6, 0D6) Lattices

This technical memorandum records the boundary-matching conditions for a (1D, 0D6, 0D6) lattice configuration combining two homotypic 0-dimensional point-support distributions (Bc = 6) and one negatively charged 1-dimensional linear element within a 3-dimensional Cosserat continuum. Applying the stationary condition of the Cosserat-projection action (delta Sproj = 0) and the second-variation Hessian subspace dimension ratio, we evaluate the 36-node forced-volumization friction (Gamma = +324), the 10-DoF metric spin splitting (+90), and the relaxation time ratio (13/12).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23968870
Primary Topic
Nonlocal and gradient elasticity in micro/nano structures
Type
preprint
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preprint

Working Note I: 36-Node Boundary Matching and Relaxation in Homotypic Dual-Core (1D, 0D6, 0D6) Lattices

Kiman Jung
Zenodo (CERN European Organization for Nuclear Research)
Nonlocal and gradient elasticity in micro/nano structures
preprint

Working Note I: 36-Node Boundary Matching and Relaxation in Homotypic Dual-Core (1D, 0D6, 0D6) Lattices

Kiman Jung
preprint en

Abstract

This technical memorandum records the boundary-matching conditions for a (1D, 0D6, 0D6) lattice configuration combining two homotypic 0-dimensional point-support distributions (Bc = 6) and one negatively charged 1-dimensional linear element within a 3-dimensional Cosserat continuum. Applying the stationary condition of the Cosserat-projection action (delta Sproj = 0) and the second-variation Hessian subspace dimension ratio, we evaluate the 36-node forced-volumization friction (Gamma = +324), the 10-DoF metric spin splitting (+90), and the relaxation time ratio (13/12).

Zenodo (CERN European Organization for Nuclear Research)
Nonlocal and gradient elasticity in micro/nano structures
DOIOpen Access PDFOpenAlex
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Working Note I: 36-Node Boundary Matching and Relaxation in Homotypic Dual-Core (1D, 0D6, 0D6) Lattices — Kiman Jung · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS