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A fifth order model for shells which combines bending, stretching and transverse shearing deduced from three-dimensional elasticity.

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2016
auteur(s) Pruchnicki Erick
journal (abréviation) Mathematics and mechanics of solids (Math Mech Solid)
volume (numéro) 21 (7)
pages 842 – 855
résumé We approximate the displacement Öeld in shell by a Öfth-order Taylor- Young expansion in thickness. The model is derived from the truncation of the potential energy at Öfth order. The equilibrium equations imply local constraints on the through-thickness derivatives of the zero-order dis- placement Öeld. This leads to an analytical expression for two-dimensional potential energy of shell in terms of the zero-order displacement Öeld and its derivatives that includes non-standard transverse shearing and normal stress energy. Then we derive equation of equilibrium and the boundary conditions .
mots clés Shells, Linear elasticity; Strain gradients, Öfth order
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