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Notes on a duality of stress and deformation fields in plane finite elasticity

โœ Scribed by James M. Hill; Richard T. Shield


Publisher
Springer Netherlands
Year
1974
Tongue
English
Weight
249 KB
Volume
4
Category
Article
ISSN
0374-3535

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๐Ÿ“œ SIMILAR VOLUMES


On a duality of stress and deformation f
โœ James M. Hill ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 262 KB

For plane deformations of an isotropic compressible hyperelastic material, the first Piola-Kirchoff stress potentials are shown to be a possible plane deformation for another material of the same type. An explicit formula connecting the strain-energy functions of the two materials is derived. Fiir

A finite element method for plane stress
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A two-dimensional ยฎnite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for ยฎnite deformation problems with large elastic and plastic strains. A