Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems

From MaRDI portal
Publication:1236934

DOI10.1007/BF00250723zbMath0354.73047OpenAlexW2051753501MaRDI QIDQ1236934

Stuart S. Antman

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf00250723




Related Items

Variational theory for spatial rodsInjectivity and self-contact in nonlinear elasticityExistence and stability of necking deformations for nonlinearly elastic rodsA justification of the Marguerre-von Kármán equationsOn a variational problem from one-dimensional nonlinear elasticityExtendability of Kirchhoff elastic rods in complete Riemannian manifoldsPolyconvexity and existence theorem for nonlinearly elastic shellsThe membrane shell model in nonlinear elasticity: A variational asymptotic derivationEquilibrium states of an elastic conducting rod in a magnetic fieldExistence theorems for a class of problems in nonlinear elasticityCartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticityThe eversion of thick spherical shellsFlexural instabilities of elastic rodsMaterial constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theoriesThe parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rodsA variational rod model with a singular nonlocal potentialOn a stress resultant geometrically exact shell model. I: Formulation and optimal parametrizationShear and necking instabilities in nonlinear elasticityCompatibility condition and existence results in discrete finite incompressible elasticityRegular and singular problems for large elastic deformations of tubes, wedges, and cylindersDynamic stability of one-dimensional nonlinearly viscoelastic bodiesOn a class of exact solutions in nonlinear elasticityDesign sensitivity for a hyperelastic rod in large displacement with respect to its midcurve shapeOn a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theoryStability of relative equilibria. I: The reduced energy-momentum methodOn bifurcation in finite elasticity: Buckling of a rectangular rodOn the role of the strong ellipticity condition in nonlinear elasticityKirchhoff elastic rods in a Riemannian manifoldOn the absence of bifurcation for elastic bars in uniaxial tensionOn barrelling instabilities in finite elasticity



Cites Work