Comparative analysis of the results of finite element calculations based on an ellipsoidal shell

Klochkov, Yu. V.; Николаев, А. П.; Киселева, Т. А.; Marchenko, S. S.

doi:10.3103/s1052618816040063

Cited by 9 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To reduce the payback period of such systems, the optimal design of objects and systems for reclamation purposes becomes very important, which is unthinkable without the use of modern numerical methods of calculation [1,2,3,4,5], which, in particular, includes the finite element method (FEM) [6,7,8,9]. Moreover, the application of this method at the present stage is based on the use as discretization elements, mainly, three-dimensional finite elements [10,11,12,13,14], as the most versatile, adapted for modeling both thin-walled fragments of reclamation structures (pipelines, tanks, tanks) and thick-walled massive bodies (dams, retaining walls, joints and others). The most relevant computational algorithms based on the FEM are currently finite element models that take into account the plastic stage of the used structural material [15,16,17,18].…”

Section: Introductionmentioning

confidence: 99%

Finite element modeling of the processes of elastic-plastic deformation of reclamation objects of the agro-industrial complex

Klochkov

Fomin

Vakhnina

et al. 2022

IOP Conf. Ser.: Earth Environ. Sci.

View full text Add to dashboard Cite

Annotation. To study the processes of nonlinear deformation of reclamation objects and engineering systems of the agro-industrial complex, taking into account the plastic stage of the used structural material, a finite element model was created based on a volumetric prismatic discretization element with quadrangular bases. The plastic stage of deformation of the applied structural material of the object is taken into account on the basis of the provisions of the deformation theory of plasticity. The plasticity matrix at the (j + 1)-th stage of sequential loading was compiled as a result of applying the operation of differentiating the stress tensor components accumulated over the j previous stages of sequential loading with respect to the strain tensor components. The stiffness matrix and the column of nodal forces of a prismatic discretization element with quadrangular bases at the (j + 1)-th stage of loading were obtained by minimizing the Lagrange functional. Numerical experiments on the calculation of a tubular outlet proved the adequacy of the developed finite element model and the accuracy of calculating the required strength parameters of the studied reclamation objects and other engineering systems of the agro-industrial complex, sufficient for engineering practice.

show abstract

Section: Introductionmentioning

confidence: 99%

Finite element modeling of the processes of elastic-plastic deformation of reclamation objects of the agro-industrial complex

Klochkov

Fomin

Vakhnina

et al. 2022

IOP Conf. Ser.: Earth Environ. Sci.

View full text Add to dashboard Cite

show abstract

“…matrix and the column of nodal forces of the prismatic finite element, standard for FEM[19][20][21][22][23][24][25][26][27][28][29][30].…”

mentioning

confidence: 99%

Application of finite elements of various dimensions in strength calculations of thin-wall constructions of agro-industrial complex

et al. 2020

View full text Add to dashboard Cite

The article presents a comparative analysis of the effectiveness of the use of finite elements of various dimensions in the study of the stress-strain state (SSS) of objects of the agro-industrial complex (AIC). To determine the strength parameters of the AIC objects, which can be attributed to the class of thinwalled, it is proposed to use a two-dimensional finite element in the form of a fragment of the middle surface of a triangular shape with nodes at its vertices. To improve the compatibility of a two-dimensional finite element at the boundaries of adjacent elements, it is proposed to use the Lagrange multipliers introduced in additional nodes located in the middle of the sides of the triangular fragment as additional unknowns. It is proposed to use a three-dimensional finite element in the form of a prism with triangular bases to study the SSS of agricultural objects of medium thickness and thick-walled. To improve the compatibility of the prismatic element, Lagrange multipliers in the middle of the sides of the upper and lower bases are also used. On the example of calculating a fragment of a cylindrical pipeline rigidly clamped at the ends loaded with internal pressure, the effectiveness of the developed two-dimensional and three-dimensional finite elements with Lagrange multipliers was proved. The validity of the use of a twodimensional element for researching the SSS of agricultural objects belonging to the class of thin-walled was proved.

show abstract

Carrera unified formulation (CUF) for shells of revolution. I. Higher-order theory

Carrera

Zozulya

2022

Acta Mech

View full text Add to dashboard Cite

Comparative analysis of the results of finite element calculations based on an ellipsoidal shell

Cited by 9 publications

References 2 publications

Finite element modeling of the processes of elastic-plastic deformation of reclamation objects of the agro-industrial complex

Finite element modeling of the processes of elastic-plastic deformation of reclamation objects of the agro-industrial complex

Application of finite elements of various dimensions in strength calculations of thin-wall constructions of agro-industrial complex

Carrera unified formulation (CUF) for shells of revolution. I. Higher-order theory

Contact Info

Product

Resources

About