Smoothing Defected Welds and Hairline Cracks

DOI10.1137/140985299zbMath1358.37078OpenAlexW2270947287WikidataQ110236311 ScholiaQ110236311MaRDI QIDQ5743837

Tadeusz Iwaniec, Jani Onninen

Publication date: 8 February 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140985299

zbMATH Keywords

smoothingelasticitycracksenergy-minimal deformationsapproximation with diffeomorphismshairline fractureshomeomorphisms of planar domains

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Differential topological aspects of diffeomorphisms (57R50) Smoothing in differential topology (57R10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Triangulation of diffeomorphisms ⋮ Extremal mappings of finite distortion and the Radon-Riesz property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mappings of least Dirichlet energy and their Hopf differentials
• Diffeomorphic approximation of Sobolev homeomorphisms
• Deformations of annuli with smallest mean distortion
• Invertibility versus Lagrange equation for traction free energy-minimal deformations
• The Jordan-Schonflies Theorem and the Classification of Surface
• The Nitsche conjecture
• 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
• An Elementary Proof of the Jordan-Schoenflies Theorem
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms
• Monotone Sobolev mappings of planar domains and surfaces

This page was built for publication: Smoothing Defected Welds and Hairline Cracks