On certain surfaces with given Gaussian curvature in the theory of defects in crystals

DOI10.1007/BF00041148zbMath0755.73081MaRDI QIDQ1197268

Cesare Davini, Yong Zhong Huo

Publication date: 16 January 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

existence theoremedge dislocationsMinkowski problemscrew dislocationscontinuous dislocationimage surfacesurface invariants

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Applications of local differential geometry to the sciences (53B50) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• A geometric classification of inhomogeneities in continua with dislocations
• A proposal for a continuum theory of defective crystals
• The Weyl and Minkowski problems in differential geometry in the large
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