Comparative analysis of efficiency of use of finite elements of different dimensionality in the analysis of the stress-strain state of thin shells

Calculation of stress concentrations in orthotropic cylindrical shells with holes on the basis of a variational method

“…The numerical implementation of the problem for a shell with an elliptical hole (with r 1 /r 2 = 0.5) was performed for cylinders of different materials in the case of using the third approximation shift model (4,3,4,3,2) of the applied theory [20]. For an isotropic cylindrical shell (at E i = 26.18 MPa; ν ij = 0.3), Table 1 σ ττ stresses in the thickness.…”

“…These methods, as a rule, are based on the direct integration of the corresponding differential equations, on the use of variational approaches, and also on discrete methods, among which the most common is the finite element method (FEM). In particular, to analyse the stress-strained state of thin shells, a comparison is made in [4] of the effectiveness of algorithms for using stiffness matrices of finite elements of different dimensions. In this case, using the example of calculating a cylinder clamped along the ends, it is shown that the two-dimensional formulation in the calculations of thin shells is adequate and allows obtaining acceptable results with optimal expenditure of machine time.…”