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ARTICLE

Finite Rotation Geometrically Exact Four-Node Solid-Shell Element with Seven Displacement Degrees of Freedom

G. M. Kulikov1, S. V. Plotnikova1

Tambov State Technical University, Sovetskaya Street 106, Tambov 392000, Russia

Computer Modeling in Engineering & Sciences 2008, 28(1), 15-38. https://doi.org/10.3970/cmes.2008.028.015

Abstract

This paper presents a robust non-linear geometrically exact four-node solid-shell element based on the first-order seven-parameter equivalent single-layer theory, which permits us to utilize the 3D constitutive equations. The term "geometrically exact" reflects the fact that geometry of the reference surface is described by analytically given functions and displacement vectors are resolved in the reference surface frame. As fundamental shell unknowns six displacements of the outer surfaces and a transverse displacement of the midsurface are chosen. Such choice of displacements gives the possibility to derive strain-displacement relationships, which are invariant under arbitrarily large rigid-body shell motions in a convected curvilinear coordinate system. To avoid shear and membrane locking and have no spurious zero energy modes, the assumed strain and stress resultant fields are invoked. To improve a geometrically non-linear shell response, the modified ANS method is applied. Additionally, analytical integration throughout the element is employed to evaluate the tangent stiffness matrix. As a result, the present finite rotation solid-shell element formulation allows using coarse meshes and very large load increments.

Keywords

APA Style
Kulikov, G.M., Plotnikova, S.V. (2008). Finite rotation geometrically exact four-node solid-shell element with seven displacement degrees of freedom. Computer Modeling in Engineering & Sciences, 28(1), 15-38. https://doi.org/10.3970/cmes.2008.028.015
Vancouver Style
Kulikov GM, Plotnikova SV. Finite rotation geometrically exact four-node solid-shell element with seven displacement degrees of freedom. Comput Model Eng Sci. 2008;28(1):15-38 https://doi.org/10.3970/cmes.2008.028.015
IEEE Style
G.M. Kulikov and S.V. Plotnikova, "Finite Rotation Geometrically Exact Four-Node Solid-Shell Element with Seven Displacement Degrees of Freedom," Comput. Model. Eng. Sci., vol. 28, no. 1, pp. 15-38. 2008. https://doi.org/10.3970/cmes.2008.028.015

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