Stiff lattices with zero thermal expansion and enhanced stiffness via rib cross section optimization

Stiff, strong zero thermal expansion lattices via the Poisson effect

“…The same approach is taken with the longitudinal strain values, using Hooke's law for plane strain. Equations (6) and (7) are written for materials one and two…”

“…5 These lattices were optimized for stiffness by further design of the dimensions of the rib cross-sections. 6 The present research obtains zero thermal expansion, with the use of Poisson contraction. By the use of this method, it is possible to utilize tube elements as the structural member of lattices.…”

Maximizing negative thermal expansion via rigid unit modes: a geometry-based approach

“…In fact, one of the main uses of NTE materials is to combine them with existing conventional ones so as to adjust the overall thermal expansion coefficient of the resultant material [56]. In this respect, invar-type materials and other near-zero thermal expansion composite materials (normally composed of negatively and positively expanding materials in the correct ratio), which effectively result in a net expansion coefficient of zero, are of a high practical value [57,58]. This model presents a blueprint which may enable the design of materials with more enhanced NTE characteristics, meaning that smaller quantities of them may be used in the manufacture of real, low or near-zero thermal expansion composites.…”

Development of designing lightweight composites and structures for tailorable thermal expansion

“…可分别实现负膨胀(a), 最大体积模量和零膨胀的复合材 料微结构(b) [46] , 二维圆环状复合材料微结构可实现低热膨胀(c) [49] Figure 1 (Color online) The two dimensional mirostructures of composites with tailorable thermal expansion designed by topological optimization. Microstructures for negative themal expansion (a) and zero thermal expansion as well as maxmum bulk modulus (b) [46] , circlar composites with mirostructures for low thermal expansion (c) [49] 大幅值的正、负及零热膨胀系数, 同时具有较好的力 最近, Lehman等人 [54] 针对上述二维点阵复合材 料中杆件的截面进行了优化设计. 在给定的相对密 图 2 基于双材料梁设计的点阵复合材料结构可实现热膨胀调控 [51,52] .…”