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

DOI10.1007/s10659-017-9654-1zbMath1390.74039arXiv1702.03737OpenAlexW2749890621MaRDI QIDQ1743791

Anurag Gupta, Ayan Roychowdhury

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1702.03737

zbMATH Keywords

thin structuresbiological growthstrain incompatibilitynon-metricityfluid filmssurface dislocations2-dimensional crystals2-dimensional materialsgeometry of defectssurface disclinations

Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Shells (74K25) Applications of differential geometry to physics (53Z05) Membranes (74K15)

Related Items (4)

Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states ⋮ Growth and non-metricity in Föppl-von Kármán shells ⋮ A Naghdi type nonlinear model for shells with little regularity ⋮ Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields

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