Study of equivalent mechanical properties on pyramidal lattice materials

Author(s):  
Lianchun Long ◽  
Hui Liu ◽  
Haoran Cui
2017 ◽  
Vol 09 (02) ◽  
pp. 1750027 ◽  
Author(s):  
Fangfang Sun ◽  
Qing Zheng ◽  
Hualin Fan ◽  
Daining Fang

To construct a hierarchical lattice structure (HLS), truss wall is introduced into ordinary lattice structure (OLS). Young’s modulus, yield strength and buckling stress of HLSs were evaluated theoretically. Failure maps of different HLSs were plotted and compared based on the theoretical analyses. It is indicated that mechanical behaviors of hexagonal HLSs made of triangular lattice walls can be greatly enhanced by the hierarchical wall structure, while properties of triangular HLSs are weakened, except the anti-buckling resistance. When HLSs are made of bending-dominated honeycomb walls, their properties will be reduced, indicating that hierarchical structure should be appropriately designed to make ultra-light structures benefit from this construction. This viewpoint is strengthened by the discussions on the performances of high order lattice structures, where only bending-dominated HLSs with stretching-dominated lattice wall benefit from the hierarchy.


2012 ◽  
Vol 1420 ◽  
Author(s):  
Andrea Vigliotti ◽  
Damiano Pasini

ABSTRACTNatural materials have often a defined multilevel hierarchy which governs their macroscopic mechanical properties. Cork, sponge and bone are only a few examples. These materials are generally heterogeneous and can exhibit a cellular pattern, i.e. a partition of a solid with voids, at multiple levels of the structural hierarchy. It is well known that the arrangement of the voids plays a major role in the overall performance of the material. Furthermore, it has been demonstrated that the nesting of cellular patterns at different levels confers remarkable mechanical properties to the structure.This paper presents a multiscale approach to the analysis of a hierarchical structure which exhibits nested levels of lattice, i.e. regular periodic patterns of voids occur at different length scales. A number of three-dimensional topologies as well as the effect of lattice geometry parameters have been investigated. The results of the analysis are plotted onto material property charts. The visualization of the properties helps gain insight into the contribution that each hierarchical layer imparts to the overall properties of a component hierarchically structured with lattice materials.


Author(s):  
Quan-Wei Li ◽  
Bohua Sun

The biomimetic design of engineering structures is based on biological structures with excellent mechanical properties, which are the result of billions of years of evolution. However, current biomimetic structures, such as ordered lattice materials, are still inferior to many biological materials in terms of structural complexity and mechanical properties. For example, the structure of \textit{Euplectella aspergillum}, a type of deep-sea glass sponge, is an eye-catching source of inspiration for biomimetic design; however, guided by scientific theory, how to engineer structures surpassing the mechanical properties of \textit{E. aspergillum} remains an unsolved problem. The lattice structure of the skeleton of \textit{E. aspergillum} consists of vertically, horizontally, and diagonally oriented struts, which provide superior strength and flexural resistance compared with the conventional square lattice structure. Herein, the structure of \textit{E. aspergillum} was investigated in detail, and by using the theory of elasticity, a lattice structure inspired by the bionic structure was proposed. The mechanical properties of the sponge-inspired lattice structure surpassed the sponge structure under a variety of loading conditions, and the excellent performance of this configuration was verified experimentally. The proposed lattice structure can greatly improve the mechanical properties of engineering structures, and it improves strength without much redundancy of material. This study achieved the first surpassing of the mechanical properties of an existing sponge-mimicking design. This design can be applied to lattice structures, truss systems, and metamaterial cells.


2017 ◽  
Vol 50 (3) ◽  
pp. 137-140
Author(s):  
Tomas Their ◽  
Luc St-Pierre

Honeycombs and other lattice materials have the advantage that their topology can be designed to achieve unique combinations of properties, such as high strength at low density.  The work presented here is exploratory in nature: we investigated the mechanical properties of a two-dimensional lattice and compared its performances to other topologies.  Analytical expressions for the uniaxial stiffness and compressive strength were developed and validated against Finite Element simulations.  The results showed that the lattice considered is stiffer and stronger than the diamond lattice, and has a higher resistance to elastic buckling than the triangular lattice.  


Polymers ◽  
2021 ◽  
Vol 13 (17) ◽  
pp. 2986
Author(s):  
Victor Beloshenko ◽  
Yan Beygelzimer ◽  
Vyacheslav Chishko ◽  
Bogdan Savchenko ◽  
Nadiya Sova ◽  
...  

This study addresses the mechanical behavior of lattice materials based on flexible thermoplastic polyurethane (TPU) with honeycomb and gyroid architecture fabricated by 3D printing. Tensile, compression, and three-point bending tests were chosen as mechanical testing methods. The honeycomb architecture was found to provide higher values of rigidity (by 30%), strength (by 25%), plasticity (by 18%), and energy absorption (by 42%) of the flexible TPU lattice compared to the gyroid architecture. The strain recovery is better in the case of gyroid architecture (residual strain of 46% vs. 31%). TPUs with honeycomb architecture are characterized by anisotropy of mechanical properties in tensile and three-point bending tests. The obtained results are explained by the peculiarities of the lattice structure at meso- and macroscopic level and by the role of the pore space.


2019 ◽  
Vol 157-158 ◽  
pp. 282-292 ◽  
Author(s):  
Sha Yin ◽  
Haoyu Chen ◽  
Jiani Li ◽  
T.X. Yu ◽  
Jun Xu

2020 ◽  
pp. 105678952096320
Author(s):  
H Reda ◽  
Y Rahali ◽  
B Vieille ◽  
H Lakiss ◽  
JF Ganghoffer

We analyze in this contribution the phase velocities of Rayleigh waves in periodic beam-lattices materials. The effective mechanical properties for the virgin and damaged structures are evaluated. The damaged lattice is modeled by removing beams within full networks made of repetitive unit cells. An evaluation of the phase velocities for the longitudinal and transverse versus the amount of damage is done for different relative densities evaluated versus the percentage of damaged beams for the square and triangular network. The effective mechanical properties of the overall network are evaluated as a function of the increasing damage based on a numerical procedure. Computations show that the square lattice has higher phase velocities in comparison with the triangular lattice. This work sets the basis of a methodology for evaluating the state of damage in network materials based on the changes in the wave propagation velocities.


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