On the existence of rotationally symmetric solution of a constrained minimization problem of elasticity

DOI10.1007/s10659-021-09863-3zbMath1491.74032OpenAlexW3210662789MaRDI QIDQ2071274

Lucas A. Rocha, Adair Roberto Aguiar

Publication date: 25 January 2022

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09863-3

zbMATH Keywords

linear elasticityfinite element methodEuler-Lagrange equationsorthotropymesh convergencepotential energy minimization

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
• The remarkable nature of radially symmetric deformation of spherically uniform linear anisotropic elastic solids
• Stress singularity in an elastic cylinder of cylindrically anisotropic materials
• The deal.II library, Version 9.1
• Bifurcation instability in linear elasticity with the constraint of local injectivity
• Local and global injective solution of the rotationally symmetric sphere problem
• Effect of Fiber Anisotropy on Thermal Stresses in Fibrous Composites
• The constraint of local injectivity in linear elasticity theory

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