Reformulation of Continuum Defects in Terms of the General Teleparallel Geometry in the Language of Exterior Algebra
International Journal of Theoretical Physics, cilt.64, sa.4, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 64 Sayı: 4
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s10773-025-05962-2
- Dergi Adı: International Journal of Theoretical Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Continuum mechanics, Curvature, Defect, Disclination, Dislocation, Non-metricity, Torsion
- Maltepe Üniversitesi Adresli: Evet
Özet
We discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formulation of dislocation and disclination written in terms of torsion and full curvature (together with vanishing non-metricity), we give a new formulation of them in a novel way in terms of torsion and non-metricity (together with vanishing full curvature), the so-called general teleparallel geometry. All calculations are performed by using the exterior algebra. We obtain continuity equations explicitly for dislocation density and disclination density.