Large elastic deformations of isotropic materials. V. The problem of flexure
From MaRDI portal
Publication:5794499
DOI10.1098/rspa.1949.0004zbMath0036.24901OpenAlexW1992381595MaRDI QIDQ5794499
Publication date: 1949
Published in: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1949.0004
Related Items
Nonlinear effects in a plane problem of the pure bending of an elastic rectangular panel ⋮ Multiple joined prestressed orthotropic layers under large strains ⋮ Universal displacements in linear elasticity ⋮ Wrinkles and creases in the bending, unbending and eversion of soft sectors ⋮ Finite strain solutions in compressible isotropic elasticity ⋮ An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations ⋮ Deformations possible in every isotropic, incompressible, perfectly elastic body ⋮ Universality in anisotropic linear anelasticity ⋮ Characterisation of a polymer using biaxial tension tests. I: Hyperelasticity ⋮ Flexure of a fluid-saturated cuboid ⋮ The geometry of discombinations and its applications to semi-inverse problems in anelasticity ⋮ A material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental results ⋮ Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data ⋮ A gradient micromechanical model to explore flexoelectric copolymers via stochastic chain growth ⋮ The universal program of nonlinear hyperelasticity ⋮ Nonlinear dynamics of pipes composed of Mooney-Rivlin hyperelastic materials conveying unsteady fluid flow ⋮ On finite bending of visco-hyperelastic materials: a novel analytical solution and FEM ⋮ Mechanics of high-flexible beams under live loads ⋮ Size-dependent bending of thin metallic films ⋮ Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form ⋮ Digital production tool -- a package for robust engineering analysis as a tool for transferring fundamental scientific results to industry on the example of the fidesys package and the theory of multiple superimposition of large deformations ⋮ Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies ⋮ Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity ⋮ On pure bending in non-linear elasticity: a circular closed-form 2D solution for semi-linear orthotropic material ⋮ Finite anticlastic bending of hyperelastic solids and beams ⋮ Bending of hyperelastic beams made of transversely isotropic material in finite elasticity ⋮ Swelling-induced wrinkling in layered gel beams ⋮ Gregory Internal constraint theories for the thermal expansion of viscous fluids. ⋮ Elastic instabilities caused by stress concentration ⋮ Universal deformations of micropolar isotropic elastic solids ⋮ Thermoelastic Shear of Rubberlike Solid Cylindrical Tubes ⋮ Controllable states of elastic dielectrics ⋮ Plane strain bending of strain-stiffening rubber-like rectangular beams ⋮ The bending of beams in finite elasticity ⋮ Non-linear deformations of a mixture of two isotropic elastic solids ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Nonlinear versions of flexurally superconvergent elements ⋮ A reciprocal property of the finite plane strain equations ⋮ Statically possible radially symmetric deformations in isotropic, incompressible elastic solids ⋮ Bending instabilities of soft biological tissues ⋮ Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids ⋮ The bending of fully nonlinear beams. Theoretical, numerical and experimental analyses ⋮ Normal configurations and the nonlinear elastostatic problems of bending, torsion, expansion, and eversion for compressible bodies ⋮ A complex variable EFG method for hyperelastic large deformation analysis under non-conservative loads
