Differential geometry of defects in condensed systems of particles with only translational mobility

DOI10.1016/0020-7225(81)90074-4zbMath0468.73046OpenAlexW2023864758WikidataQ115368198 ScholiaQ115368198MaRDI QIDQ1156524

S. H. Smith

Publication date: 1981

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(81)90074-4

zbMATH Keywords

identification of dislocation with Cartan's torsionidentification of extrinsic point defects with inhomogeneity in Einstein's equationsidentification of intrinsic point defects with nonmetric part of affine connection

Mathematics Subject Classification ID

Fracture and damage (74R99) Statistical mechanics of crystals (82D25) Plastic materials, materials of stress-rate and internal-variable type (74C99) Applications of local differential geometry to the sciences (53B50) Affine differential geometry (53A15)

Related Items (15)

A proposal for a continuum theory of defective crystals ⋮ Effects of heterogeneous elasticity coupled to plasticity on stresses and lattice rotations in bicrystals: a field dislocation mechanics viewpoint ⋮ Geometry of crystal structure with defects. II: Non-Euclidean picture ⋮ The dynamics of configurational forces at phase-transition fronts ⋮ A new constitutive analysis of hexagonal close-packed metal in equal channel angular pressing by crystal plasticity finite element method ⋮ Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states ⋮ A gauge theory of defects in media with microstructure ⋮ Views on multiplicative elastoplasticity and the continuum theory of dislocations ⋮ EBSD-based continuum dislocation microscopy ⋮ A Riemannian approach to reduced plate, shell, and rod theories ⋮ Metric-torsion gauge theory of continuum line defects ⋮ The emergence of torsion in the continuum limit of distributed edge-dislocations ⋮ Disclinations, dislocations, and continuous defects: A reappraisal ⋮ Lattice incompatibility and a gradient theory of crystal plasticity ⋮ Metric description of singular defects in isotropic materials

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Zum statischen Grundgesetz der Versetzungstheorie
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
• Ricci-Calculus
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