Dorninger, Konrad; Rammerstorfer, Franz G. A layered composite shell element for elastic and thermoelastic stress and stability analysis at large deformations. (English) Zbl 0716.73092 Int. J. Numer. Methods Eng. 30, No. 4, 833-858 (1990). Summary: A finite shell element for layered fibre reinforced composite shells has been developed. The degeneration principle is used in combination with specific kinematic assumptions. The thermoelastic material is either described by the behaviour of the local components, i.e. fibre and matrix material laws and geometrical configuration in each layer, or by the overall orthotropic layer material laws. Thickness integration for obtaining the different contributions to the shell element’s stiffness matrix is performed analytically and prior to the numerical in-plane integration. This leads to a considerable saving in computer time during the incremental-iterative analysis. Geometrical nonlinearities in terms of large deformations and material nonlinearities in terms of layer cracking are taken into account. Accompanying eigenvalue analyses allow the determination of the - sometimes rather complicated - buckling behaviour with nonlinear prebuckling deformations. Cited in 6 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74E30 Composite and mixture properties 74G60 Bifurcation and buckling 74K15 Membranes 74B20 Nonlinear elasticity 74A15 Thermodynamics in solid mechanics 74B10 Linear elasticity with initial stresses Keywords:eigenvalue problems; layered fibre reinforced composite shells; degeneration principle; incremental-iterative analysis; Geometrical nonlinearities; large deformations; material nonlinearities; layer cracking; eigenvalue analyses; nonlinear prebuckling deformations PDFBibTeX XMLCite \textit{K. Dorninger} and \textit{F. G. Rammerstorfer}, Int. J. Numer. Methods Eng. 30, No. 4, 833--858 (1990; Zbl 0716.73092) Full Text: DOI References: [1] Finite Element Procedures in Engineering Analysis, Prentice-Hall. Englewood Cliffs, J.J., 1982. [2] ’A plate/shell element for large deflections and rotations’, in et al. (eds.), Formulations and Computational Algorithms in Finite Element Analysis, Proc. U. S- German Symp., MIT, Cambridge, 1977. [3] ’Entwicklung von nichtlinearen FE-Algorithmen zur Berechnung von Schalenkonstruktionen aus Faserverbundstoffen’, Fortschritt-Berichle, VDI Reihe 18, Nr. 65. VDI Verlag, Duesseldorg, FRG, 1989. [4] Ricks, Int. J. Solids Struct. 7 pp 529– (1971) [5] ’The mechanical properties of bibre reinforcede composite plates’, Dissertation, University of Aston, U. K., 1977. [6] ’Grundlagen der struktumechanischen Berechnung von Bauteilen aus Faserverbundstoffen,’ in (ed.), Leichtbau mit Kohlenstoff-faserverstärkten Kunststoffen, Expert velag, Sindelfingen, FRG, 1985. [7] and , Introduction to Composite Materials, Technomic Publishing, Lancaster, PA, 1980. [8] Reddy, Comp. Struct. 25 pp 371– (1987) [9] ’Beitrag zur numerischen Behandlung ebener, anisotroper Schichiverbunde mittels FEM’, Dissertation, University o fInnsburck, Austria, 1984. [10] and , ’Large deformation shell analysis based on the degeneration concept’, in and eds., State-of-the-art Texts on FEM for plate and Shell Structures, Pineridge Press, Swansea, U.K. 1986. [11] ’Continuum-based shell elemetns’, Dissertation, Stanford University, Standord, CA, 1985. [12] Chao, Int. J. numer. metods eng. 20 pp 1981– (1984) [13] ’Grenzlastberechnungen flüssigkeitsgefüllter Schalen mit ”degenererten” Schalenlementen’, Dissertation, University of Stuttgart, FRG, 1985. [14] ’Jump phenomena associated with the stability of geometrically nonlinear structures’, in et al. (eds.), Recent Advances in Non-Linear Computational Mechanics, Pineridge Press, Swansea, U. K., 1982. · Zbl 0525.73052 [15] and , ’Thermoelastic stability’, in (ed.), Thermal Stresses III, North-Holand, Amsterdam, 1989. · Zbl 0718.73011 [16] ’Geometrisch nichtlineare Elastostatik and finite Elemetn’, Habilitationsschrift, University of Strttgart, FRG, 1975. [17] ’Thermal stresses in plates-Statical problems’, in (ed.), Thermal Stresses I, North-Holland, Amsterdam, 1986. [18] Hui, Int. J. Non-Linear Mech. 23 pp 177– (1988) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.