2020
DOI: 10.1016/j.matdes.2020.108855
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Twist, tilt and stretch: From isometric Kelvin cells to anisotropic cellular materials

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Cited by 14 publications
(4 citation statements)
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“…The physical properties of the resin are taken as a Poisson's ratio of 0.35 and volumetric mass density of 1180 kilograms per cubic meter [20]. Young's modulus is measured by printing a cantilevered beam of known dimensions and observing its frequency response.…”
Section: Methodsmentioning
confidence: 99%
“…The physical properties of the resin are taken as a Poisson's ratio of 0.35 and volumetric mass density of 1180 kilograms per cubic meter [20]. Young's modulus is measured by printing a cantilevered beam of known dimensions and observing its frequency response.…”
Section: Methodsmentioning
confidence: 99%
“…Tessellated computer-aided design (CAD) data files often contain flaws such as overlaps, gaps or degenerate facets and may require correction in an additional repair software [5]. This is a significant issue since many new acoustic materials require accurate manufacture of features at the sub-millimetre scale [6,7].…”
Section: Introductionmentioning
confidence: 99%
“…Prior research has identified a myriad of architectures with tailored anisotropy-behaving stiff in some directions and compliant in others. Most popular for its simple fabrication and property extraction has been the class of truss lattices (13,(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28). In principle, arbitrary thermodynamically admissible stiffness combinations can be achieved by the complex arrangement of trusses (20), which may be guided by topology optimization schemes (also referred to as inverse homogenization) (13).…”
mentioning
confidence: 99%
“…Consequently, existing works ( 23 , 25 , 30 , 41 ) have typically considered only a small number of fixed lattice topologies, whose superposition with different strut thicknesses and/or base materials results in a limited design space for the effective properties—but with the added benefit of enabling spatial gradients. In addition, the common focus on cubic and hence orthotropic UCs ( 26 , 35 ) ignores shear–normal and shear–shear coupling components in the effective stiffness tensor—although it has been recognized that those may be beneficial for, among others, compliance minimization and wave guidance ( 22 , 42 ). By contrast, a completely random topology (based on a random placement and connection of struts in a truss) results in an overwhelmingly high-dimensional and nonlinear parameterization with low symmetry and a prohibitively small fraction of mechanically useful UCs (not even to think of smooth spatial transitions between different random topologies).…”
mentioning
confidence: 99%