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math-ph2021
Revisiting the topological classification of defects in crystals
Nivedita, Anurag Gupta
A general theory of topological classification of defects is introduced. We illustrate the application of tools from algebraic topology, including homotopy and cohomology groups, t…
math-ph2019
Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields
Animesh Pandey, Anurag Gupta
The incompatibility of linearized piecewise smooth strain field, arising out of volumetric and surface densities of topological defects and metric anomalies, is investigated. First…
math-ph2015
Material homogeneity and strain compatibility in thin elastic shells
Ayan Roychowdhury, Anurag Gupta
We discuss several issues regarding material homogeneity and strain compatibility for materially uniform thin elastic shells from the viewpoint of a 3-dimensional theory, with smal…