Naghdi, P. M. Finite deformation of elastic rods and shells. (English) Zbl 0523.73033 Finite elasticity, Proc. IUTAM Symp., Bethlehem/PA 1980, 47-104 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 Documents MSC: 74B20 Nonlinear elasticity 74K15 Membranes 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:direct approach; not necessarily elastic shell-like bodies; modelled by Cosserat surface or directed surface; embedded in Euclidean 3-space; directors non necessarily along normals to surface; general bending theory of thin shells; local field equations; define form of kinetic energy and of momentum corresponding to velocity; director velocity; existence of strain energy density; constraints by linear relations between kinematic variables; approximation of incompressibility condition; identification of involved coefficients; Cosserat surface; director always along normal to material surface; basic equations for Cosserat surfaces in coordinate-free notation; Cosserat curves Citations:Zbl 0504.00035 PDFBibTeX XML