34 citations · 89 across the 15 of their papers we have counts for
18 papers
Some Consequences of the Distributional Stress Equilibrium Condition
Animesh Pandey, Anurag Gupta
We derive two consequences of the distributional form of the stress equilibrium condition while incorporating piecewise smooth stress and body force fields with singular concentrat…
Singular Points and Singular Curves in von Kármán Elastic Surfaces
Animesh Pandey, Anurag Gupta
Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g., crumpling and folding of paper),…
Point Singularities in Incompatible Elasticity
Animesh Pandey, Anurag Gupta
The equations of stress equilibrium and strain compatibility/incompatibility are discussed for fields with point singularities in a planar domain. The sufficiency (or insufficiency…
Positive disclination in a thin elastic sheet with boundary
Animesh Pandey, Manish Singh, Anurag Gupta
An isolated positive wedge disclination deforms an initially flat elastic sheet into a perfect cone when the sheet is of infinite extent and is elastically inextensible. The latter…
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…
Defects and Metric Anomalies in Föppl-von Kármán Surfaces
Manish Singh, Ayan Roychowdhury, Anurag Gupta
A general framework is developed to study the deformation and stress response in F{ö}ppl-von K{á}rm{á}n shallow shells for a given distribution of defects, such as dislocations, di…
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…
The multiplicative deformation split for shells with application to growth, chemical swelling, thermoelasticity, viscoelasticity and elastoplasticity
Roger A. Sauer, Reza Ghaffari, Anurag Gupta
This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition…
Biological Growth in Bodies with Incoherent Interfaces
Digendranath Swain, Anurag Gupta
A general theory of thermodynamically consistent biomechanical--biochemical growth in a body, considering mass addition in the bulk and at an incoherent interface, is developed. Th…
Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells
Ayan Roychowdhury, Anurag Gupta
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 d…
On structured surfaces with defects: geometry, strain incompatibility, internal stress, and natural shapes
Ayan Roychowdhury, Anurag Gupta
Given a distribution of defects on a structured surface, such as those represented by 2-dimensional crystalline materials, liquid crystalline surfaces, and thin sandwiched shells,…
Non-metric connection and metric anomalies in materially uniform elastic solids
Ayan Roychowdhury, Anurag Gupta
Metric anomalies arising from a distribution of point defects (intrinsic interstitials, vacancies, point stacking faults), thermal deformation, biological growth, etc. are well kno…
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…
A Three-dimensional Study of Coupled Grain Boundary Motion with Junctions
Anup Basak, Anurag Gupta
A novel continuum theory of incoherent interfaces with triple junctions is applied to study three-dimensional coupled grain boundary (GB) motion in polycrystalline materials. The k…
Simultaneous Grain Boundary Motion, Grain Rotation, and Sliding in a Tricrystal
Anup Basak, Anurag Gupta
Grain rotation and grain boundary (GB) sliding are two important mechanisms for grain coarsening and plastic deformation in nanocrystalline materials. They are in general coupled w…
Coupled Grain Boundary Motion with Triple Junctions
Anup Basak, Anurag Gupta
Coupled grain boundary (GB) motion has been studied in a two-dimensional tricrystal where a cylindrical grain is embedded at the center of the planar GB of a large bicrystal. Kinet…
Geometry of Defects in Solids
Ayan Roychowdhury, Anurag Gupta
The appealing connection between non-Euclidean geometries and defects in solids is brought forth in this article. Drawing a correspondence between the nature of a defect and a spec…
Plastic flow in solids with interfaces
Anurag Gupta, David Steigmann
A non-equilibrium theory of isothermal and diffusionless evolution of incoherent interfaces within a plastically deforming solid is developed. The irreversible dynamics of the inte…