Dynamic crushing of 2D cellular structures: A finite element study

Zheng, Zizhan; Yu, Jian; Lǐ, Jiànróng

doi:10.1016/j.ijimpeng.2005.05.007

Cited by 220 publications

(152 citation statements)

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“…Although the stress is almost equally distributed, the deformation patterns are different in the three kinds of honeycombs, as shown in Figure 8. For the density-homogeneous honeycomb, the deformation bands appear randomly, see Figure 8(a), as reported by Zheng et al (2005). For density-graded honeycombs, the yield stress gradu-ally changes due to the density gradient, and thus the deformation occurs first at the position where the relative density is relatively less, see Figure 8(b) and (c).…”

Section: Deformation Patterns and Stress Distributionsupporting

confidence: 64%

“…(Zheng et al, 2005) and (Wang et al, 2011) for details. The densitygraded honeycombs are constructed by changing the cell size distribution in a specific manner but keeping the cell-wall thickness constant.…”

Section: Cell-based Finite Element Modelsmentioning

confidence: 99%

“…In the Quasi-static mode, the deformation shear bands occur randomly (Zheng et al, 2005;Liu et al, 2009). The force balance should be satisfied in the loading direction at the macro scale because the inertia effect can be ignored under quasi-static situation (Liu et al, 2009).…”

Section: Feasibility Verification Of the Cross-sectional Stress Calcumentioning

confidence: 99%

“…Three deformation modes have been observed in irregular honeycombs under dynamic compression (Zheng et al, 2005;Liu et al, 2009), i.e., Quasi-static Mode, Transitional Mode and Shock Mode. In this study, the cross-sectional stress calculation method provides a way to understand the stress distribution along the specimen and how the stress wave propagates.…”

Section: Deformation Patterns and Stress Distributionmentioning

confidence: 99%

“…Several shock models and mass-spring models have been proposed to understand the shock wave propagation in cellular materials under dynamic impact, such as the R-PP-L (rate-independent, rigid-perfectly plastic-locking) model (Reid and Peng, 1997), the mass-spring model (Li and Meng, 2002), the E-PP-R (elastic-perfectly plastic-rigid) model (Lopatnikov et al, 2003), the power law densification model and the D-R-PH (dynamic, rigidplastic hardening) shock model . Because the assurance of the repeatability of samples and the measurement of local stress and strain states have not been well solved by experimental techniques, finite element (FE) method has been applied to simulate the dynamic crushing of cellular materials, such as regular/irregular honeycombs (Ruan et al, 2003;Zheng et al, 2005;Liu et al, 2009;Zou et al, 2009;Hu and Yu, 2013) and open-/closed-cell foams Zheng et al, 2014;Sun et al, 2016). The typical features of stress enhancement and deformation localization can be appropriately represented.…”

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confidence: 99%

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Stress Distribution in Graded Cellular Materials Under Dynamic Compression

Wang

Zheng

et al. 2017

Lat. Am. j. solids struct.

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Dynamic compression behaviors of density-homogeneous and density-graded irregular honeycombs are investigated using cell-based finite element models under a constant-velocity impact scenario. A method based on the cross-sectional engineering stress is developed to obtain the one-dimensional stress distribution along the loading direction in a cellular specimen. The cross-sectional engineering stress is contributed by two parts: the node-transitive stress and the contact-induced stress, which are caused by the nodal force and the contact of cell walls, respectively. It is found that the contactinduced stress is dominant for the significantly enhanced stress behind the shock front. The stress enhancement and the compaction wave propagation can be observed through the stress distributions in honeycombs under high-velocity compression. The single and double compaction wave modes are observed directly from the stress distributions. Theoretical analysis of the compaction wave propagation in the density-graded honeycombs based on the R-PH (rigid-plastic hardening) idealization is carried out and verified by the numerical simulations. It is found that stress distribution in cellular materials and the compaction wave propagation characteristics under dynamic compression can be approximately predicted by the R-PH shock model. dynamic crushing. However, most research work is restricted to the stress at the impact/support end and thus the stress distribution is not well considered. KeywordsSignificant enhancement of crushing stress was observed in the dynamic impact experiments of woods (Reid and Peng, 1997;Harrigan et al., 2005), aluminum honeycombs (Zhao and Gary, 1998;Hou et al., 2012) and foams (Mukai et al., 1999;Deshpand and Fleck, 2000;Tan et al., 2005a;Elnasri et al., 2007). Several shock models and mass-spring models have been proposed to understand the shock wave propagation in cellular materials under dynamic impact, such as the R-PP-L (rate-independent, rigid-perfectly plastic-locking) model (Reid and Peng, 1997), the mass-spring model (Li and Meng, 2002), the E-PP-R (elastic-perfectly plastic-rigid) model (Lopatnikov et al., 2003), the power law densification model and the D-R-PH (dynamic, rigidplastic hardening) shock model . Because the assurance of the repeatability of samples and the measurement of local stress and strain states have not been well solved by experimental techniques, finite element (FE) method has been applied to simulate the dynamic crushing of cellular materials, such as regular/irregular honeycombs (Ruan et al., 2003;Zheng et al., 2005;Liu et al., 2009;Zou et al., 2009;Hu and Yu, 2013) and open-/closed-cell foams Zheng et al., 2014;Sun et al., 2016). The typical features of stress enhancement and deformation localization can be appropriately represented.The introduction of gradient to cellular structures may influence the macroscopic mechanical properties, and thus graded cellular materials have become popular in energy absorption and impact resistance. The compressive mechanical ...

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Section: Deformation Patterns and Stress Distributionsupporting

confidence: 64%

Section: Cell-based Finite Element Modelsmentioning

confidence: 99%

Section: Feasibility Verification Of the Cross-sectional Stress Calcumentioning

confidence: 99%

Section: Deformation Patterns and Stress Distributionmentioning

confidence: 99%

mentioning

confidence: 99%

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Stress Distribution in Graded Cellular Materials Under Dynamic Compression

Wang

Zheng

et al. 2017

Lat. Am. j. solids struct.

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Harnessing Magnets to Design Tunable Architected Bistable Material

Chen

Zhang

Zhang³

et al. 2019

Adv Eng Mater

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A new type of tunable bistable metamaterial (TBM) is proposed which is made by embedding magnets into the flexible cellular bistable materials with double tilted beams. To find out the effect of magnets on the mechanics of TBM, several samples are fabricated and magnets with different residual flux density, which is used to describe the magnetic field strength, are embedded. Quasi-static uniaxial compression tests are performed and the results show that the bistability of the TBM is successfully adjusted by embedding magnets. Furthermore, both numerical and analytical simulations are carried out to further understand the bistable property and energy absorption ability of the proposed metamaterial.

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Energy Absorption Properties of Periodic and Stochastic 3D Lattice Materials

Mueller

Matlack

Shea

et al. 2019

Advcd Theory and Sims

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Architected lattices can be designed to have tailorable functionalities by controlling their constitutive elements. However, little work has been devoted to comparing energy absorption properties in different periodic three-dimensional geometries to each other and to comparable foam-like random structures. This knowledge is essential for the entire design process. In this work, the authors conduct a systematic and comprehensive computational study of the quasi-static and dynamic energy absorption properties of various different geometries. They test compression loading over strain rates varying from 1 to 10 4 s −1 . The authors analyze geometries with varying degrees of nodal connectivity, ranging from bending dominated to stretching dominated, at different orientations, and compare their response to equivalent stochastic lattices. Results show relatively high stress peaks in the periodic lattices, even in bending dominated lattices at certain orientations. Conversely, the stochastic geometries show a relatively constant stress response over large strains, which is ideal for energy absorbing applications. Still, results show that specific orientations of bending dominated periodic lattice geometries outperform their stochastic equivalents. This work can help to quickly identify the potential of different unit cell types and aid in the development of lattices for impulse mitigation applications, such as in protective sports equipment, automotive crashworthiness, and packaging.

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Dynamic crushing of 2D cellular structures: A finite element study

Cited by 220 publications

References 20 publications

Stress Distribution in Graded Cellular Materials Under Dynamic Compression

Stress Distribution in Graded Cellular Materials Under Dynamic Compression

Harnessing Magnets to Design Tunable Architected Bistable Material

Energy Absorption Properties of Periodic and Stochastic 3D Lattice Materials

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