Three-dimensional geometrically nonlinear problem of thermoelasticity for laminated anisotropic shells of revolution

Grigolyuk, É. I.; Nosatenko, P. Ya.

doi:10.1007/bf00608137

Cited by 3 publications

(1 citation statement)

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“…In this case, the order of the system of resolving equations depends on the number of layers, which considerably complicates the numerical realization of the problems of statics of multilayer shells. The second approach [3,4] to the calculation of multilayer anisotropic shells of revolution employs the relations of the spatial geometrically nonlinear theory of elasticity with numerical realization by the finite element method, which hinders extensive use of the designed software in calculation and experimental practice.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayer anisotropic shells of revolution. 1. Account of transverse shear

Куликов¹,

Плотникова²

1999

Mech Compos Mater

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The discussion focuses on two numerical algorithms for solving the nonlinear static problems of multilayer composite shells of revolution, namely the algorithm based on the discrete orthogonalization method and the algorithm based on the finite element method with a local linear approximation in the meridian direction. The material of each layer of the shell is assumed to be linearly elastic and anisotropic ( nonorthotropic ).A feature of this approach is that the displacements of the face surfaces of the shell are chosen as unhnown functions, i.e., the functions which allows us to formulate the kinematic boundary conditions on these surfdces. As an example, a cross-ply cylindrical shell subjected to uniform axisymmetric tension is considered.It is shown that the algorithms elaborated correctly describe the local distribution of the stress tensor over the shell thicl~ness without an expensive software based on the 3D anisotropic theory of elasticity.

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Section: Introductionmentioning

confidence: 99%