On planar mappings with prescribed principal strains

DOI10.1007/BF00376186zbMath0789.35100MaRDI QIDQ1187473

Julian Gevirtz

Publication date: 22 July 1992

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

zbMATH Keywords

blow-upsmoothnessnonlinear hyperbolic systemplanar deformationprincipal strain functions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Elastic materials (74B99)

Related Items (3)

On a model semilinear elliptic equation in the plane ⋮ Singularity sets of constant principal strain deformations ⋮ A design principle for actuation of nematic glass sheets

Cites Work

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• Existence of elastic deformations with prescribed principal strains and triply orthogonal systems
• Two families of finite deformations with constant strain invariants
• A diagonal hyperbolic system for mappings with prescribed principal strains
• Uniform domains and the ubiquitous quasidisk
• Rotation and strain
• A Sharp Condition for Univalence in Euclidean Spaces
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• On quasi‐isometric mappings, I
• The algebraic-geometry of slip line fields with applications to boundary value problems
• On quasi‐isometric mappings, II

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