Composite bars of arbitrary cross section in nonlinear elastic nonuniform torsion by BEM / E. J. Sapountzakis in Journal of engineering mechanics, Vol. 135 N° 12 (Décembre 2009)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 135 N° 12 (Décembre 2009) . - pp. 1354-1367 Titre : Composite bars of arbitrary cross section in nonlinear elastic nonuniform torsion by BEM Type de document : texte imprimé Auteurs : E. J. Sapountzakis, Auteur ; Tsipiras, V. J., Auteur Article en page(s) : pp. 1354-1367 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Bars Torsion Geometry Shear stress Warpage Boundaries Cross sections. Résumé : In this paper the elastic nonuniform torsion analysis of composite cylindrical bars of arbitrary cross section consisting of materials in contact, each of which can surround a finite number of inclusions, taking into account the effect of geometric nonlinearity is presented employing the boundary element method (BEM). All of the cross section's materials are perfectly bonded together, that is separation is not allowed. The torque-rotation relationship is computed based on the finite displacement (finite rotation) theory, that is the transverse displacement components are expressed so as to be valid for large rotations and the longitudinal normal strain includes the second-order geometric nonlinear term often described as the “Wagner strain.” The proposed formulation does not stand on the assumption of a thin-walled structure and therefore the cross section's torsional rigidity is evaluated exactly without using the so-called Saint-Venant's torsional constant. The torsional rigidity of the cross section is evaluated directly employing the primary warping function of the cross section depending on its shape. Three boundary value problems with respect to the variable along the beam axis angle of twist, to the primary and to the secondary warping functions are formulated. The first one, employing the Analog Equation Method (a BEM based method), yields a system of nonlinear equations from which the angle of twist is computed by an iterative process. The rest two problems are solved employing a pure BE method. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The developed procedure retains most of the advantages of a BEM solution over a pure domain discretization method, although it requires domain discretization. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...] [article] Composite bars of arbitrary cross section in nonlinear elastic nonuniform torsion by BEM [texte imprimé] / E. J. Sapountzakis, Auteur ; Tsipiras, V. J., Auteur . - pp. 1354-1367. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 135 N° 12 (Décembre 2009) . - pp. 1354-1367 Mots-clés : Bars Torsion Geometry Shear stress Warpage Boundaries Cross sections. Résumé : In this paper the elastic nonuniform torsion analysis of composite cylindrical bars of arbitrary cross section consisting of materials in contact, each of which can surround a finite number of inclusions, taking into account the effect of geometric nonlinearity is presented employing the boundary element method (BEM). All of the cross section's materials are perfectly bonded together, that is separation is not allowed. The torque-rotation relationship is computed based on the finite displacement (finite rotation) theory, that is the transverse displacement components are expressed so as to be valid for large rotations and the longitudinal normal strain includes the second-order geometric nonlinear term often described as the “Wagner strain.” The proposed formulation does not stand on the assumption of a thin-walled structure and therefore the cross section's torsional rigidity is evaluated exactly without using the so-called Saint-Venant's torsional constant. The torsional rigidity of the cross section is evaluated directly employing the primary warping function of the cross section depending on its shape. Three boundary value problems with respect to the variable along the beam axis angle of twist, to the primary and to the secondary warping functions are formulated. The first one, employing the Analog Equation Method (a BEM based method), yields a system of nonlinear equations from which the angle of twist is computed by an iterative process. The rest two problems are solved employing a pure BE method. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The developed procedure retains most of the advantages of a BEM solution over a pure domain discretization method, although it requires domain discretization. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...]

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Large deflection analysis of plates stiffened by parallel beams with deformable connection / E. J. Sapountzakis in Journal of engineering mechanics, Vol. 138 N° 8 (Août 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.1021–1041. Titre : Large deflection analysis of plates stiffened by parallel beams with deformable connection Type de document : texte imprimé Auteurs : E. J. Sapountzakis, Auteur ; I. C. Dikaros, Auteur Année de publication : 2012 Article en page(s) : pp.1021–1041. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Elastic stiffened plate Plate reinforced with beams Nonlinear analysis Bending Nonuniform torsion Warping Ribbed Boundary element method Slab-and-beam structure Deformable connection Résumé : In this paper a general solution to the geometrically nonlinear analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary monosymmetric cross sections with a deformable connection subjected to arbitrary loading is presented. The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining the nonlinear terms in the kinematical relationships. According to the proposed model, the stiffening beams are isolated from the plate by sections in the lower outer surface of the plate under the hypothesis that the plate and the beams can slip in all directions of the connection without separation, while the arising tractions in all directions at the fictitious interfaces are taken into account. These tractions are integrated with respect to each half of the interface width, yielding two interface lines along which the loading of the beams as well as the additional loading of the plate are defined. Their unknown distribution is established by applying continuity conditions at the interfaces in all directions, taking into account their relationship with the interface slip through the shear connectors’ stiffness. Any distribution of connectors in each direction of the interfaces can be handled. The utilization of two interface lines for each beam enables the nonuniform distribution of the interface transverse shear forces and the nonuniform torsional response of the beams to be taken into account. Six boundary value problems are formulated and solved using the analog equation method, a boundary element-based method. Application of the boundary element technique leads to a system of nonlinear and coupled algebraic equations that is solved using iterative numerical methods. The adopted model permits the evaluation of the shear forces at the interfaces in both directions; the knowledge of which is very important in the design of prefabricated ribbed plates. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000402 [article] Large deflection analysis of plates stiffened by parallel beams with deformable connection [texte imprimé] / E. J. Sapountzakis, Auteur ; I. C. Dikaros, Auteur . - 2012 . - pp.1021–1041. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.1021–1041. Mots-clés : Elastic stiffened plate Plate reinforced with beams Nonlinear analysis Bending Nonuniform torsion Warping Ribbed Boundary element method Slab-and-beam structure Deformable connection Résumé : In this paper a general solution to the geometrically nonlinear analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary monosymmetric cross sections with a deformable connection subjected to arbitrary loading is presented. The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining the nonlinear terms in the kinematical relationships. According to the proposed model, the stiffening beams are isolated from the plate by sections in the lower outer surface of the plate under the hypothesis that the plate and the beams can slip in all directions of the connection without separation, while the arising tractions in all directions at the fictitious interfaces are taken into account. These tractions are integrated with respect to each half of the interface width, yielding two interface lines along which the loading of the beams as well as the additional loading of the plate are defined. Their unknown distribution is established by applying continuity conditions at the interfaces in all directions, taking into account their relationship with the interface slip through the shear connectors’ stiffness. Any distribution of connectors in each direction of the interfaces can be handled. The utilization of two interface lines for each beam enables the nonuniform distribution of the interface transverse shear forces and the nonuniform torsional response of the beams to be taken into account. Six boundary value problems are formulated and solved using the analog equation method, a boundary element-based method. Application of the boundary element technique leads to a system of nonlinear and coupled algebraic equations that is solved using iterative numerical methods. The adopted model permits the evaluation of the shear forces at the interfaces in both directions; the knowledge of which is very important in the design of prefabricated ribbed plates. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000402

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