2020
DOI: 10.1007/s10659-020-09796-3
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The Isotropic Cosserat Shell Model Including Terms up to $O(h^{5})$. Part I: Derivation in Matrix Notation

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Cited by 22 publications
(50 citation statements)
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“…The quadratic representation (150) has been adopted also in the work [5], where a model of order O(h 3 ) for Cosserat shells has been derived. Thus, using the same derivation method and the conditions (151), we have obtained in [5, f. (68)] the strain energy densityW shell (E e , K e ) in the form (28) Next, let us compare our results with the shell model obtained in [7], see also the work [18] which presents this model in matrix formulation. In [7, f. (65)], the following quadratic ansatz has been assumed…”
Section: Special Case: the Quadratic Ansatzmentioning
confidence: 90%
“…The quadratic representation (150) has been adopted also in the work [5], where a model of order O(h 3 ) for Cosserat shells has been derived. Thus, using the same derivation method and the conditions (151), we have obtained in [5, f. (68)] the strain energy densityW shell (E e , K e ) in the form (28) Next, let us compare our results with the shell model obtained in [7], see also the work [18] which presents this model in matrix formulation. In [7, f. (65)], the following quadratic ansatz has been assumed…”
Section: Special Case: the Quadratic Ansatzmentioning
confidence: 90%
“…Naghdi-type shell models with only one independent "Cosserat"-director do not have the drill-degree of freedom [27] but allow for transverse shear. Classical shell models neither have drill nor transverse shear [19,15,36]. On the contrary, rotations about in-plane axis describe bending and twist.…”
Section: Engineering Motivation: Cosserat Shell Modelsmentioning
confidence: 99%
“…The extension of the planar shell model to initially curved shells has been recently given in [18,19,20]. The planar shell model (1.9) has been used to successfully predict the wrinkling behavior of very thin elastic sheets [37].…”
Section: Engineering Motivation: Cosserat Shell Modelsmentioning
confidence: 99%
“…The extension of the planar shell model to initially curved shells has been recently given in [31,34,35]. The planar shell model (1.8) has been used to successfully predict the wrinkling behaviour of very thin elastic sheets [36].…”
Section: Introductionmentioning
confidence: 99%