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A Finite‐Rotation Theory for Elastic‐Plastic Shells under Consideration of Shear Deformations
Author(s) -
Bašar Y.,
Weichert D.
Publication year - 1991
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19910711003
Subject(s) - constitutive equation , isotropy , prandtl number , virtual work , parametric statistics , shear (geology) , rotation (mathematics) , mathematics , mathematical analysis , finite element method , classical mechanics , mechanics , structural engineering , physics , geometry , materials science , engineering , heat transfer , quantum mechanics , statistics , composite material
A consistent, five‐parametric shell theory which permits the consideration of transversal shear deformations is developed for elastic‐plastic analysis of shells undergoing finite rotations. The constitutive equations derived allow the consideration of isotropic and kinematic hardening with temperature dependent yield limit and deliver as special case the Prandtl‐Reuss equations. For the application of incremental‐iterative solution strategies, the field equations, in particular, the principle of virtual work are transformed into incremental equations. The constitutive relations are given in terms of stresses rather than of the two‐dimensional force variables and present, thus, a suitable basis for the development of layered numerical models.