Modeling continuous distributions of dislocations in multi-walled nanotube composites

DOI10.1007/s00033-016-0737-9zbMath1354.74016OpenAlexW2532927891MaRDI QIDQ506403

Marcelo Epstein

Publication date: 31 January 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0737-9

zbMATH Keywords

integrabilitydifferential formsnanotubesoverdetermined systems

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Micromechanical theories (74A60)

Related Items

On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes

Cites Work

• Unnamed Item
• Unnamed Item
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Geometrical theory of uniform Cosserat media
• Homogeneity without uniformity: Towards a mathematical theory of functionally graded materials
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• Metric description of singular defects in isotropic materials
• Material inhomogeneities and their evolution. A geometric approch.
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Geometric aspects of singular dislocations
• Overdetermined systems of linear partial differential equations