Continuum modeling of three-dimensional truss-like space structures

Nayfeh, Adnan H.; Hefzy, Mohamed Samir

doi:10.2514/3.7581

Cited by 112 publications

(67 citation statements)

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“…The formulation of lattice model used in this work is based on studies conducted by Nayfeh and Hefzy (1978). The objective of that work was to determine the properties of an equivalent orthotropic elastic continuum to model panels made of large numbers of small interconnected bars.…”

Section: Introductionmentioning

confidence: 99%

Crack propagation in elastic solids using the truss-like discrete element method

2012

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The crack propagation simulation is still an open problem in the mechanical simulation field. In the present work this problem is analyzed using a version of truss-like Discrete Element Method, that here we called DEM. This method has been used with success in several applications in solid mechanical problems where the simulation of fracture and fragmentation is relevant. The formulation of DEM explaining the way the process of rupture could be simulated in consistent form is showed. Also are described details about how the dynamical fracto-mechanical stress intensity factors are computed. The main aim of this paper is to show the ability of this method in simulating fracture and crack propagation in solids, for this, three examples with different levels of complexity are analyzed. The obtained results are presented in terms of the variation of dynamic stress intensity factor in the fracture process, the stress map and geometric configuration on L. Kosteski (B) · I. Iturrioz Pos-Graduate Program in Mechanical Engineering different steps in the simulation of the fracture process, the crack speed and the energetic balance during all the process. These results are compared with experimental and numerical results obtained by other researchers and published in recognized scientific papers. Final commentaries about the performance of the version of lattice model considered are carried out.

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Section: Introductionmentioning

confidence: 99%

Crack propagation in elastic solids using the truss-like discrete element method

2012

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“…The 12 parameters are functions of x only. Note that equations (23) provide an exact representation of the displacement field in the plane of the cross section. As a consequence of the kinematic assumptions (eqs.…”

Section: Kinematic and Temperature Assumptionsmentioning

confidence: 99%

Continuum Modeling of Large Lattice Structures: Status and Projections

Noor

Mikulas

1988

Springer Series in Computational Mechanics

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“…The method which involves "homogenization" (an asymptotic analysis of multiple scales) leads to the well known Timeshenko model for beam dynamics. The analysis provides formulae for the effective beam parameters which are quite different than have been suggested by other averaging schemes 120, 21,22].…”

Section: Introductionmentioning

confidence: 95%

“…This procedure essentially implements a discrete (sampled) version of the required computation using a digital Hilbert transform. For a finite number of sample points the Hilbert transform computation can be implemented by taking a discrete "fast fourier transform" (FFT) of the sampled data and shifting the imaginary part of the transformed data according to (21). It is well known that control of error induced by the sampling process (Gibbs phenomenon) requires the careful choice of "data windows" or weighting functions for the computation.…”

Section: _k(w) H (Or) Damentioning

confidence: 99%