A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage
A 3D mixed beam finite element is presented, modeling the warping of the cross-sections as an independent kinematic field. The beam formulation is derived on the basis of the Hu-Washizu variational principle, expressed as function of four independent fields: the standard displacements, strains and...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2014-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_16.pdf |
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| _version_ | 1846092560837115904 |
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| author | D. Addessi P. Di Re |
| author_facet | D. Addessi P. Di Re |
| author_sort | D. Addessi |
| collection | DOAJ |
| description | A 3D mixed beam finite element is presented, modeling the warping of the cross-sections as an
independent kinematic field. The beam formulation is derived on the basis of the Hu-Washizu variational
principle, expressed as function of four independent fields: the standard displacements, strains and stresses and
the additional warping displacement. This is interpolated along the beam axis and on the cross-section, by
placing on it a regular grid of interpolation points and adopting Lagrange polynomials. The warping degrees of
freedom defined at the cross-section interpolation points are condensed, thus preserving the element matrix and
vector sizes. A fiber discretization of the cross-sections is adopted. The constitutive relationship at the midpoint
of each fiber is based on an isotropic damage model for brittle-like materials, distinguishing between the damage
variables in tension and in compression to properly describe the unilateral effect. An efficient algorithm is
formulated for the element state determination, based on a consistent linearization of the governing equations.
A simple numerical application on a cantilever beam with torsion in the linear elastic range is presented and two
torsion tests on plain concrete beams are performed, by comparing the numerical results with the experimental
outcomes. |
| format | Article |
| id | doaj-art-32bd61e00b034e2cabd76970f1c79f6c |
| institution | Kabale University |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-32bd61e00b034e2cabd76970f1c79f6c2025-01-02T20:54:05ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932014-07-0182917819510.3221/IGF-ESIS.29.16A 3D mixed frame element with multi-axial coupling for thin-walled structures with damageD. Addessi0P. Di Re1University of Rome ‘Sapienza’University of Rome ‘Sapienza’A 3D mixed beam finite element is presented, modeling the warping of the cross-sections as an independent kinematic field. The beam formulation is derived on the basis of the Hu-Washizu variational principle, expressed as function of four independent fields: the standard displacements, strains and stresses and the additional warping displacement. This is interpolated along the beam axis and on the cross-section, by placing on it a regular grid of interpolation points and adopting Lagrange polynomials. The warping degrees of freedom defined at the cross-section interpolation points are condensed, thus preserving the element matrix and vector sizes. A fiber discretization of the cross-sections is adopted. The constitutive relationship at the midpoint of each fiber is based on an isotropic damage model for brittle-like materials, distinguishing between the damage variables in tension and in compression to properly describe the unilateral effect. An efficient algorithm is formulated for the element state determination, based on a consistent linearization of the governing equations. A simple numerical application on a cantilever beam with torsion in the linear elastic range is presented and two torsion tests on plain concrete beams are performed, by comparing the numerical results with the experimental outcomes.http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_16.pdfThin-walled structures; Mixed beam formulation; Warping; Damage; Softening; Regularization. |
| spellingShingle | D. Addessi P. Di Re A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage Fracture and Structural Integrity Thin-walled structures; Mixed beam formulation; Warping; Damage; Softening; Regularization. |
| title | A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage |
| title_full | A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage |
| title_fullStr | A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage |
| title_full_unstemmed | A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage |
| title_short | A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage |
| title_sort | 3d mixed frame element with multi axial coupling for thin walled structures with damage |
| topic | Thin-walled structures; Mixed beam formulation; Warping; Damage; Softening; Regularization. |
| url | http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_16.pdf |
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