Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells

2017/06/09 by Ayan Roychowdhury, Anurag Gupta, Roychowdhury, Ayan +1
Computer Science · Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #Thermoelastic and Magnetoelastic Phenomena #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.1706.03093

arxiv created 2017/06/09 · openalex publication_date 2017/06/09 · arxiv updated 2017/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The strain incompatibility equations are discussed for nonlinear Kirchhoff-Love shells with sources of inhomogeneity arising due to a distribution of topological defects, such as dislocations and disclinations, and metric anomalies, such as point defects, thermal strains, and biological growth. The incompatibility equations are given for all topological surfaces, with or without boundary, which are isometrically embeddable in a 3-dimensional Euclidean space.

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