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math.AP2026
Energy scaling laws for thin elastic sheets with topological defects
Raz Kupferman, Cy Maor, David Padilla-Garza
We derive energy scaling laws for thin elastic sheets with topological defects --- disclinations and dislocations --- for a fully nonlinear 3D model. For disclinations, the scaling…
math.AP2026
From Volterra dislocations to strain-gradient plasticity
Raz Kupferman, Cy Maor
We rigorously derive a strain-gradient model of plasticity as a -limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference fr…
math.AP2025
Linearization in incompatible elasticity for general ambient spaces
Raz Kupferman, Cy Maor
Motivated by recent interest in elastic problems in which the target space is non-Euclidean, we study a limit where local rest distances within an elastic body are incompatible, ye…