Analytical solutions for equivalent elastic compliance of cubic lattice structures subjected to hypergravity conditions
王磊 1杜洋坤 2王冠楠 1吕朝锋3
扫码查看
点击上方二维码区域，可以放大扫码查看
作者信息
1. College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China
2. School of Mathematics and Statistics,University of Glasgow,Glasgow G12 8QQ,UK
3. College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China;Faculty of Mechanical Engineering and Mechanics,Ningbo University Ningbo 315211,China;Key Lab of Soft Machines and Smart Devices of Zhejiang Province,Zhejiang University,Hangzhou 310027,China;Soft Matter Research Center,Zhejiang University,Hangzhou 310027,China
In order to comprehensively understand the mechanical behavior of biological entities and aerospace applications subjected to hypergravity environments,we delve into the impact of hypergravity on the equivalent compliance of cubic lattice structures.Capitalizing on the periodic spatial distribution,we employ a unit cell methodology to deduce the homogenized stress-strain relationship for the lattice structures,subsequently obtaining the associated equivalent compliance.The equivalent compliance can be conveniently reduced to instances without hypergravity influence.Furthermore,numerical simulations are executed to validate the derivations and to illustrate that hypergravity indeed affects the mechanical properties of lattice structures.We in-troduce a non-dimensional hypergravity factor,which quantifies the impact of hypergravity magnitude relative to the Young's modulus of the base material.Our findings reveal that the hypergravity factor influences perpendicular compliance quadratically and parallel compliance linearly.Simultaneously,the perpendicular shear compliance remains unaffected,whereas the parallel shear compliance experiences an inverse effect.Additionally,the lattice structure transforms into a gradient material oriented in the hypergravity direction,consequently generating a scale effect.
万方数据