Crushing analysis for novel bio-inspired hierarchical circular structures subjected to axial load

Abstract Hierarchical structures are widely observed in nature, and used in engineering due to superior mechanical properties. In this paper, a novel hierarchical circular tube (HCT) by iteratively adding self-similar sub-circle at the junctions of the primary ribs is proposed to enhance structural crashworthiness performance. The finite element model of HCT is firstly established through LS-DYNA and validated via experiment testing. The energy absorption performance of different hierarchical HCTs is investigated under dynamic load. The hierarchical organization has remarkable potential to improve the crashworthiness behavior of thin-walled structure, especially, the 2nd order HCT exhibits significant advantages for energy absorption efficiency. Then, parametric designs are performed to explore the crashworthiness effect on main geometrical parameters of 2nd order HCT. Furthermore, theoretical model of 2nd order HCT is derived based on super folding element method, and obtain the good prediction accuracy for energy absorption and mean crushing force. To further obtain the optimal design of the 2nd order HCT, multi-objective optimization is performed by employing radial basis function (RBF) neural networks and multi-objective particle swarm optimization (MOPSO) algorithm. The several optimal structures are obtained under different peak crushing force (PCF). The findings of this research offer a new route of designing novel crashworthiness structure with high energy absorption capacity.

[1]  T. Wierzbicki,et al.  Axial Crushing of Multicorner Sheet Metal Columns , 1989 .

[2]  Stefan Tabacu,et al.  Axial crushing of circular structures with rectangular multi-cell insert , 2015 .

[3]  Zhenze Liu,et al.  A bionic method for the crashworthiness design of thin-walled structures inspired by bamboo , 2016 .

[4]  Jianguang Fang,et al.  On design of multi-cell tubes under axial and oblique impact loads , 2015 .

[5]  Yucheng Liu,et al.  Crashworthiness design of multi-corner thin-walled columns , 2008 .

[6]  Jianguang Fang,et al.  Dynamic crashing behavior of new extrudable multi-cell tubes with a functionally graded thickness , 2015 .

[7]  Xiongming Lai,et al.  Crashworthiness study for multi-cell composite filling structures , 2018 .

[8]  A. A. Nia,et al.  Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections , 2014 .

[9]  Hao Jiang,et al.  Crashworthiness of vertex based hierarchical honeycombs in out-of-plane impact , 2016 .

[10]  Qing Li,et al.  On functionally graded composite structures for crashworthiness , 2015 .

[11]  Arezki Boudaoud,et al.  Optimal fractal-like hierarchical honeycombs. , 2014, Physical review letters.

[12]  Huajian Gao,et al.  On optimal hierarchy of load-bearing biological materials , 2011, Proceedings of the Royal Society B: Biological Sciences.

[13]  N. Pugno,et al.  Mechanical properties of a hollow-cylindrical-joint honeycomb , 2014 .

[14]  D. Thambiratnam,et al.  Dynamic simulation and energy absorption of tapered thin-walled tubes under oblique impact loading , 2006 .

[15]  André R. Studart,et al.  Biological and Bioinspired Composites with Spatially Tunable Heterogeneous Architectures , 2013 .

[16]  N. Pugno,et al.  In plane stiffness of multifunctional hierarchical honeycombs with negative Poisson’s ratio sub-structures , 2013 .

[17]  Zian Jia,et al.  Hierarchical honeycomb lattice metamaterials with improved thermal resistance and mechanical properties , 2016 .

[18]  A. A. Nia,et al.  Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries , 2010 .

[19]  Hui Zhang,et al.  Numerical and theoretical studies on energy absorption of three-panel angle elements , 2012 .

[20]  Kenneth E. Evans,et al.  Functional grading in hierarchical honeycombs: Density specific elastic performance , 2012 .

[21]  Daining Fang,et al.  Mechanical properties of hierarchical cellular materials. Part I: Analysis , 2008 .

[22]  Qing Li,et al.  Theoretical, numerical, and experimental study on laterally variable thickness (LVT) multi-cell tubes for crashworthiness , 2016 .

[23]  Cengiz Baykasoglu,et al.  Energy absorption of circular aluminium tubes with functionally graded thickness under axial impact loading , 2015 .

[24]  Jianguang Fang,et al.  Theoretical prediction and optimization of multi-cell hexagonal tubes under axial crashing , 2016 .

[25]  Marc A. Meyers,et al.  Functional gradients and heterogeneities in biological materials: Design principles, functions, and bioinspired applications , 2017 .

[26]  Qing Li,et al.  Optimization of foam-filled bitubal structures for crashworthiness criteria , 2012 .

[27]  Masoud Rais-Rohani,et al.  Mechanics of axial plastic collapse in multi-cell, multi-corner crush tubes , 2011 .

[28]  H. R. Zarei,et al.  Multiobjective crashworthiness optimization of circular aluminum tubes , 2006 .

[29]  Jianguang Fang,et al.  Crashworthiness design of foam-filled bitubal structures with uncertainty , 2014 .

[30]  Shu Yang,et al.  Crushing analysis and multiobjective crashworthiness optimization of tapered square tubes under oblique impact loading , 2012 .

[31]  Xiaodong Huang,et al.  Identification of material parameters for aluminum foam at high strain rate , 2013 .

[32]  Qing Li,et al.  Crashing analysis and multiobjective optimization for thin-walled structures with functionally graded thickness , 2014 .

[33]  Qing Li,et al.  Multiobjective optimization for crash safety design of vehicles using stepwise regression model , 2008 .

[34]  Milad Abbasi,et al.  Multi-cornered thin-walled sheet metal members for enhanced crashworthiness and occupant protection , 2015 .

[35]  Hui Zhang,et al.  Energy absorption of multi-cell stub columns under axial compression , 2013 .

[36]  Qing Li,et al.  Multiobjective crashworthiness optimization of hollow and conical tubes for multiple load cases , 2014 .

[37]  Xiaolin Deng,et al.  Crushing behavior and multi-objective optimization on the crashworthiness of sandwich structure with star-shaped tube in the center , 2016 .

[38]  S. Li,et al.  On design of graded honeycomb filler and tubal wall thickness for multiple load cases , 2016 .

[39]  Xiongming Lai,et al.  Nondeterministic optimization of tapered sandwich column for crashworthiness , 2018 .

[40]  Guangyong Sun,et al.  Crashworthiness analysis of octagonal multi-cell tube with functionally graded thickness under multiple loading angles , 2017 .

[41]  N. Pugno,et al.  In-plane elastic properties of hierarchical nano-honeycombs: The role of the surface effect , 2013 .

[42]  Tongxi Yu,et al.  Comparative analysis of energy absorption capacity of polygonal tubes, multi-cell tubes and honeycombs by utilizing key performance indicators , 2016 .

[43]  Hualin Fan,et al.  Investigation of lateral crushing behaviors of hierarchical quadrangular thin-walled tubular structures , 2018 .

[44]  Hoon Huh,et al.  Crushing analysis of polygonal columns and angle elements , 2010 .

[45]  M. D. Goel.  Deformation, energy absorption and crushing behavior of single-, double- and multi-wall foam filled square and circular tubes , 2015 .

[46]  He Ning,et al.  Crashworthiness behavior of Koch fractal structures , 2018 .

[47]  J. Papadopoulos,et al.  Self-similar hierarchical honeycombs , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[48]  Xu Han,et al.  Theoretical prediction and crashworthiness optimization of multi-cell square tubes under oblique impact loading , 2014 .

[49]  Hongtu Sun,et al.  Energy absorption of aluminum alloy thin-walled tubes under axial impact , 2016 .

[50]  J. Papadopoulos,et al.  Hierarchical honeycombs with tailorable properties , 2012 .

[51]  G. Cheng,et al.  Theoretical prediction and numerical simulation of multi-cell square thin-walled structures , 2006 .

[52]  Guangyong Sun,et al.  Out-of-plane crashworthiness of bio-inspired self-similar regular hierarchical honeycombs , 2016 .

[53]  Hualin Fan,et al.  In-plane compression behavior and energy absorption of hierarchical triangular lattice structures , 2016 .

[54]  M. Meyers,et al.  Structural Biological Materials: Critical Mechanics-Materials Connections , 2013, Science.