Ho's theorem in global–local mode interaction of pin-jointed bar structures

Salerno, Ginevra; Uva, Giuseppina

doi:10.1016/j.ijnonlinmec.2005.08.008

Cited by 9 publications

(3 citation statements)

References 27 publications

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“…Moreover, once the preprocessor phase of the analysis has been performed (Steps (1)-(4)), the presence of small loading imperfections or geometrical defects can be taken into account in the postprocessing phase (Step (5)), by adding some additional imperfection terms in the expression of µ k [λ], with a negligible computational extra cost, so allowing an inexpensive imperfection sensitivity analysis (for example, see [Lanzo and Garcea 1996;]). From (6h) we can also extract information about the worst imperfection shapes [Salerno and Casciaro 1997;Salerno and Uva 2006] we can use to improve the imperfection sensitivity analysis or for driving more detailed investigations through specialized pathfollowing analysis (see [Casciaro 2005;Casciaro and Mancusi 2006] and references therein).…”

mentioning

confidence: 99%

Nonlinear FEM analysis for beams and plate assemblages based on the implicit corotational method

Garcea

Madeo

Casciaro

2012

J. Mech. Mater. Struct.

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In our previous paper the implicit corotational method (ICM) was presented as a general procedure for recovering objective nonlinear models fully reusing the information obtained by the corresponding linear theories.The present work deals with the implementation of the ICM as a numerical tool for the finite element analysis of nonlinear structures using either a path-following or an asymptotic approach. Different aspects of the FEM modeling are discussed in detail, including the numerical handling of finite rotations, interpolation strategies, and equation formats.Two mixed finite elements are presented, suitable for nonlinear analysis: a three-dimensional beam element, based on interpolation of both the kinematic and static fields, and a rotation-free thin-plate element, based on a biquadratic spline interpolation of the displacement and piece-wise constant interpolation of stress. Both are frame invariant and free from nonlinear locking.A numerical investigation has been performed, comparing beam and plate solutions in the case of thinwalled beams. The good agreement between the recovered results and the available theoretical solutions and/or numerical benchmarks clearly shows the correctness and robustness of the proposed approach as a general strategy for numerical implementations.

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confidence: 99%

Nonlinear FEM analysis for beams and plate assemblages based on the implicit corotational method

Garcea

Madeo

Casciaro

2012

J. Mech. Mater. Struct.

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“…From Eq. (1h) we can also extract information about the worst imperfection shapes [20,21] that we can use to improve the imperfection sensitivity analysis or for driving more detailed investigations through specialized path-following analysis [22].…”

Section: The Asymptotic Analysismentioning

confidence: 99%

Imperfection sensitivity analysis of laminated folded plates

Barbero

Madeo

Zagari

et al. 2015

Thin-Walled Structures

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“…Moreover, once the preprocessor phase of the analysis has been performed (Steps (1)-(4)), the presence of small loading imperfections or geometrical defects can be taken into account in the postprocessing phase (Step (5)), by adding some additional imperfection terms in the expression of µ k [λ], with a negligible computational extra cost, so allowing an inexpensive imperfection sensitivity analysis (for example, see [Lanzo and Garcea 1996;]). From (6h) we can also extract information about the worst imperfection shapes [Salerno and Casciaro 1997;Salerno and Uva 2006] we can use to improve the imperfection sensitivity analysis or for driving more detailed investigations through specialized pathfollowing analysis (see Casciaro and Mancusi 2006] and references therein).…”

Section: Numerical Strategies In Nonlinear Fem Analysismentioning

confidence: 99%

Untitled

2012

J. Mech. Mater. Struct.

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Ho's theorem in global–local mode interaction of pin-jointed bar structures

Cited by 9 publications

References 27 publications

Nonlinear FEM analysis for beams and plate assemblages based on the implicit corotational method

Nonlinear FEM analysis for beams and plate assemblages based on the implicit corotational method

Imperfection sensitivity analysis of laminated folded plates

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