Crush response of an inclined beam-column

Teng, Xiaoyan; Wierzbicki, Tomasz

doi:10.1016/s0263-8231(03)00053-3

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Introduction3

Clamped-sliding Beams With a Combined Load1

Finite Element Simulations1

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Cited by 6 publications

(6 citation statements)

References 5 publications

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“…However, it should be mentioned that a clamped-sliding beam is not equivalent to a cantilever, if a displacement is prescribed instead of a load. The problem with a displacement prescribed is treated in a separate publication [8].…”

Section: Clamped-sliding Beams With a Combined Loadmentioning

confidence: 99%

See 1 more Smart Citation

Folding of a plastic fibre under combined shear and compression

Teng

Wierzbicki

2004

Thin-Walled Structures

Self Cite

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Section: Clamped-sliding Beams With a Combined Loadmentioning

confidence: 99%

“…If the displacement is prescribed, deformation profiles of the beam are completely different, as shown in Fig. 23 [8].…”

Section: Finite Element Simulationsmentioning

confidence: 99%

Folding of a plastic fibre under combined shear and compression

Teng

Wierzbicki

2004

Thin-Walled Structures

Self Cite

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“…Again, numerical methods are necessary. Examples of practical applications of curved beam theory include composite materials like non-woven felt [25] and Hybrid Stainless Steel Assembly (HSSA) sheets [26].…”

Section: Introductionmentioning

confidence: 99%

Modelling of the stiffness evolution of truss core structures damaged by plastic buckling

Siska

Stratil

Dlouhý

et al. 2015

Finite Elements in Analysis and Design

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“…Large deflections of the beam are also studied by them. Teng and Wierzbicki [11] derived analytic solutions and numerical solutions of Eq. (2) for a power-law beam subject to a punctual load at one end.…”

Section: Introductionmentioning

confidence: 99%

Analytic and finite element solutions of the power-law Euler–Bernoulli beams

Wei

Liu

2012

Finite Elements in Analysis and Design

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In this paper, we use Hermite cubic finite elements to approximate the solutions of a nonlinear Euler-Bernoulli beam equation. The equation is derived from Hollomon's generalized Hooke's law for work hardening materials with the assumptions of the Euler-Bernoulli beam theory. The Ritz-Galerkin finite element procedure is used to form a finite dimensional nonlinear program problem, and a nonlinear conjugate gradient scheme is implemented to find the minimizer of the Lagrangian. Convergence of the finite element approximations is analyzed and some error estimates are presented. A Matlab finite element code is developed to provide numerical solutions to the beam equation. Some analytic solutions are derived to validate the numerical solutions. To our knowledge, the numerical solutions as well as the analytic solutions are not available in the literature.

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Crush response of an inclined beam-column

Cited by 6 publications

References 5 publications

Folding of a plastic fibre under combined shear and compression

Folding of a plastic fibre under combined shear and compression

Modelling of the stiffness evolution of truss core structures damaged by plastic buckling

Analytic and finite element solutions of the power-law Euler–Bernoulli beams

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