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A layered composite shell element for elastic and thermoelastic stress and stability analysis at large deformations. (English) Zbl 0716.73092

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.

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
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