On the Dimension Reduction in Prestrained Elasticity (Survey)

DOI10.1007/978-3-030-42687-3_20zbMath1440.74066OpenAlexW3042542658MaRDI QIDQ5118679

Silvia Jiménez Bolaños

Publication date: 26 August 2020

Published in: Advances in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42687-3_20

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Numerical and other methods in solid mechanics (74Sxx)

Cites Work

• Plates with incompatible prestrain
• Variational models for prestrained plates with Monge-Ampère constraint.
• Elastic theory of unconstrained non-Euclidean plates
• Plates with incompatible prestrain of high order
• Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models
• Relative bending energy for weakly prestrained shells
• A Riemannian approach to reduced plate, shell, and rod theories
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• A Riemannian approach to the membrane limit in non-Euclidean elasticity
• The Föppl-von Kármán equations for plates with incompatible strains
• Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
• Scaling laws for non-Euclidean plates and theW^2,2isometric immersions of Riemannian metrics
• Optimal control of plates using incompatible strains
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
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