Rotations with constant curl are constant

DOI10.1007/s00205-022-01764-6zbMath1495.74007arXiv2007.00331OpenAlexW4224076957MaRDI QIDQ2138640

Amit Acharya, Janusz Ginster

Publication date: 12 May 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00331

zbMATH Keywords

curl regularitymeasurable matrix fieldnonlinear elastic dislocation theoryregular rotation fieldsmooth matrix field

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gradient theory for plasticity via homogenization of discrete dislocations
• New integral estimates for deformations in terms of their nonlinear strains
• Geometric measure theory.
• Stress of a spatially uniform dislocation density field
• Finite element approximation of finite deformation dislocation mechanics
• Korn's second inequality and geometric rigidity with mixed growth conditions
• Compatibility conditions for a left Cauchy-Green strain field
• Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
• Geometric rigidity for incompatible fields and an application to strain-gradient plasticity
• Rotation and strain
• Weakly Differentiable Functions
• The Rotation Associated with Large Strains
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Strain-Gradient Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy with Mixed Growth
• Curl bounds Grad on SO(3)
• Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance

This page was built for publication: Rotations with constant curl are constant