Damage propagation in 2d beam lattices: 2. Design of an isotropic fault-tolerant lattice

Cherkaev, Andrej; Ryvkin, Michael

doi:10.1007/s00419-018-1428-0

Cited by 25 publications

(29 citation statements)

References 28 publications

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“…The expected result, fault tolerance of the specimen, is observed in the experiment. This result provides evidence that the design concept developed in [21] is robust; one might expect this because the concept is geometrical and could apply to various materials. thicknesses of the beams.…”

Section: Introductionmentioning

confidence: 66%

“…The primary goal of the present work is to get an experimental verification of the theoretical results obtained in [21]. The experiment is performed for slightly different boundary conditions than in that theoretical paper, and the parent material is not brittle, but the arrangement of thin sacrificial elements is the same.…”

Section: Introductionmentioning

confidence: 88%

“…The analysis of damage propagation in the heterogeneous lattice subjected to a uniaxial tension is carried out in the same way as in [21] for other boundary conditions. A rectangular lattice domain includes 12 × 12 = 144 repetitive cells; their morphology is shown in figure 1b.…”

Section: The Experiments (A) Choice Of the Parametersmentioning

confidence: 99%

“…We prepared the heterogeneous lattice specimen from a elastic-plastic polymer material rather than from the brittle one that was considered in the theoretical analysis in [21] because this polymer material was widely available. The fault tolerance of the theoretical design is mainly due to the special geometry of the lattice and the elastic response of parent material.…”

Section: (B) Materials and Scheme Of Experimentsmentioning

confidence: 99%

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Fault-tolerant elastic–plastic lattice material

Ryvkin

Slesarenko

Cherkaev

et al. 2019

Phil. Trans. R. Soc. A.

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The paper describes a fault-tolerant design of a special two-dimensional beam lattice. The morphology of such lattices was suggested in the theoretical papers (Cherkaev and Ryvkin 2019 Arch. Appl. Mech. 89 , 485–501; Cherkaev and Ryvkin 2019 Arch. Appl. Mech. 89 , 503–519), where its superior properties were found numerically. The proposed design consists of beam elements with two different thicknesses; the lattice is macro-isotropic and stretch dominated. Here, we experimentally verify the fault-tolerant properties of these lattices. The specimens were three-dimensional-printed from the VeroWhite elastoplastic material. The lattice is subjected to uniaxial tensile loading. Due to its morphology, the failed beams are evenly distributed in the lattice at the initial stage of damage; at this stage, the material remains intact, preserves its bearing ability, and supports relatively high strains before the final failure. At the initial phase of damage, the thinner beams buckle; then another group of separated thin beams plastically yield and rupture. The fatal macro-crack propagates after the distributed damage reaches a critical level. This initial distributed damage stage allows for a better energy absorption rate before the catastrophic failure of the structure. The experimental results are supported by simulations which confirm that the proposed fault-tolerant material possesses excellent energy absorption properties thanks to the distributed damage stage phenomenon. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 2)’.

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Section: Introductionmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 88%

Section: The Experiments (A) Choice Of the Parametersmentioning

confidence: 99%

Section: (B) Materials and Scheme Of Experimentsmentioning

confidence: 99%

See 2 more Smart Citations

Fault-tolerant elastic–plastic lattice material

Ryvkin

Slesarenko

Cherkaev

et al. 2019

Phil. Trans. R. Soc. A.

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“…The dynamics of periodic materials with small suddenly appearing flaws have been analysed in [34]. Quasi-static damage propagation in two-dimensional beam structures under tensile loading has been considered in [35], motivating the design of fault-tolerant beam lattices in [36].…”

Section: Introductionmentioning

confidence: 99%

Alternating Strain Regimes for Failure Propagation in Flexural Systems

Garau

Movchan

Jones

2019

The Quarterly Journal of Mechanics and Applied Mathematics

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We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed to propagate with a constant speed and this occurs as a result of the action of a remote sinusoidal, mechanical load. The established regime of fracture corresponds to the case of an alternating generalised strain regime. The model is reduced to a Wiener-Hopf equation and its solution is presented. We determine the minimum feeding wave energy required for the steady-state fracture process to occur. In addition, we identify the dynamic features of the structure during the steady-state fracture regime. A transient analysis of this problem is also presented, where the existence of steady-state fracture regimes, revealed by the analytical model, are verified and the associated transient features of this process are discussed.

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Compressive performance of 3D printed fault‐tolerant polymer lattice structures

Dou

Zhang

et al. 2023

Polymer Engineering & Sci

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The sudden macroscopic damage to the structure is one of the main factors affecting its safe service. This paper investigates the compressive performance of a fault‐tolerant polymer lattice structure prepared by stereolithography apparatus. The lattice structure comprises hexagonal and rhombohedral lattices with varying thicknesses. The quasi‐static compression experiment results show that bi‐lattice has better fault tolerance than single rhombohedral lattice or pure triangular lattice. Compared with the low stiffness of the rhombohedral lattice and the abrupt fracture of the triangular lattice, the bi‐lattice possesses excellent stiffness and substantial deformation capability. When a thinner beam breaks, the thicker beam impedes the transmission of damage, resulting in even dispersion of damage throughout the structure. Consequently, the overall structure remains intact, and its carrying capacity is maintained. This advantage of damage tolerance before macro fracture is significant for the design and safe operation of structures.

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Damage propagation in 2d beam lattices: 2. Design of an isotropic fault-tolerant lattice

Cited by 25 publications

References 28 publications

Fault-tolerant elastic–plastic lattice material

Fault-tolerant elastic–plastic lattice material

Alternating Strain Regimes for Failure Propagation in Flexural Systems

Compressive performance of 3D printed fault‐tolerant polymer lattice structures

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