Comparative Analysis of the Simplest Finite Elements of Plates in Bending

This article discusses the algorithm for calculating the shell structure of arbitrary shape, taking into account the physical nonlinearity of the material used. In determining the parameters of the stress-strain state, a step loading procedure was used. Algorithm for calculating the shell structure of arbitrary shape, taking into account the physical nonlinearity of the used material is discussed in this article. In determining the parameters of the stress-strain state, a step loading procedure was used.

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“…, and vectors V ��⃗ ,1 и V ��⃗ ,2 are determined by differentiation ( 14), taking into account (10) and (11).…”

Section: The Geometry Of the Shellmentioning

confidence: 99%

“…The formation of the stiffness matrix and the column of nodal loads in the quadrangular finite element at the loading step is carried out on the basis of the equality of external and internal forces at the possible movement [11][12]…”

Section: Stiffness Matrix At the Loading Stepmentioning

confidence: 99%

Nonlinear Strength Calculation of Shell Structure of Arbitrary Shape Based on FEM

Klochkov

Николаев

Dzhabrailov

2019

MSF

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“…The theory of thin shells is widely used [1][2][3][4][5][6]. Due to difficulties in obtaining analytical solutions based on the theory of shells for the designed thin-walled elements, numerical methods have become widespread [7][8][9][10]. The action of external loads in the presence of shell meridian branching can cause plastic deformations.…”

Section: Introductionmentioning

confidence: 99%

Calculation of thin-walled axisymmetrically loaded structures of the AIC taking into account FEM-based physical nonlinearity

2020

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The article describes an algorithm for calculating an axisymmetrically loaded shell structure with a branching meridian, taking into account elastic-plastic deformations when loading based on the deformation theory of plasticity without assuming that the material is incompressible during plastic deformations. The correct relations which determine the static conjugation conditions of several revolution shells in the joint assembly are used. A comparative analysis of finite element solutions is presented for various options plasticity matrix development at the loading stage.

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Accounting for physically nonlinear deformation of the shell under flat loading based on the finite element method

Dzhabrailov

Klochkov

Николаев

2019

IOP Conf. Ser.: Mater. Sci. Eng.

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On the basis of the theory of small elastic plastic deformations obtained at the loading step in the curvilinear coordinate system of the relationship between stress increments and strain increments, which are implemented in the matrix of shell stiffness under flat loading In this paper, algorithms for obtaining physically nonlinear relations at the loading step in finite element calculations of shells under flat loading are developed.On the basis of relations of deformation theory of plasticity the equations of connection between increments of stresses and increments of deformations at flat loading in elastic plastic stage of work are received. The coefficients of proportionality are obtained when using the strain diagram of the material. The found defining relations are implemented in the algorithm of forming the stiffness matrix of the finite element of the shell under flat loading. Specific examples show the effectiveness of the developed algorithms for the calculation of the shell with a flat loading beyond the elasticity limits.

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Comparative Analysis of the Simplest Finite Elements of Plates in Bending

Cited by 6 publications

References 2 publications

Nonlinear Strength Calculation of Shell Structure of Arbitrary Shape Based on FEM

Nonlinear Strength Calculation of Shell Structure of Arbitrary Shape Based on FEM

Calculation of thin-walled axisymmetrically loaded structures of the AIC taking into account FEM-based physical nonlinearity

Accounting for physically nonlinear deformation of the shell under flat loading based on the finite element method

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