Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity

From MaRDI portal
Publication:1106678

DOI10.1007/BF00281347zbMath0651.73006OpenAlexW2093186768MaRDI QIDQ1106678

Alexander Mielke

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00281347



Related Items

Uniform Elliptic Estimate for an Infinite Plate in Linear Elasticity, Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities, Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations, NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART I, A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity, On the justification of plate theories in linear elasticity theory using exponential decay estimates, Derivation of a rod theory for multiphase materials, Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods, Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from three-dimensional elasticity, Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity, Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain, Normal hyperbolicity of center manifolds and Saint-Venant's principle, Numerical Liapunov-Schmidt spectral method for \(k\)-determined problems, Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates, Statically and kinematically exact nonlinear theory of rods and its numerical verification, On the bending and twisting of rods with misfit, The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity, On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error, On Saint-Venant's principle in finite anti-plane shear: An energy approach, Characteristic behavior of prismatic anisotropic beam via generalized eigenvectors, On the completeness of Lamb modes, Existence and stability of modulating pulse-solutions in a phenomenological model of nonlinear optics, AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE, Three-dimensional solitary waves in the presence of additional surface effects, Justification of the nonlinear Kirchhoff-Love theory, as application of a new singular inversion method, Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders, Nonlinear three-dimensional beam theory for flexible multibody dynamics



Cites Work