Geometric auxetics
نویسندگان
چکیده
We formulate a mathematical theory of auxetic behaviour based on one-parameter deformations of periodic frameworks. Our approach is purely geome- tric, relies on the evolution of the periodicity lattice and works in any dimension. We demonstrate its usefulness by predicting or recognizing, without experiment, computer simulations or numerical approximations, the auxetic capabilities of several well-known structures available in the literature. We propose new principles of auxetic design and rely on the stronger notion of expansive behaviour to provide an infinite supply of planar auxetic mechanisms and several new three-dimensional structures.
منابع مشابه
Nano- and Micro-Auxetic Plasmonic Materials.
Plasmonic nanostructures with a negative Poisson ratio are demonstrated, having the unusual mechanical property of auxetics to expand laterally when being stretched. Using nanomembrane technology, auxetics are shrunk by orders of magnitude, giving simultaneous access to optical properties of plasmonic metamaterials, as well as auxetic mechanical properties on the nanoscale.
متن کاملElastic properties of degenerate f.c.c. crystal of polydisperse soft dimers at zero temperature
a r t i c l e i n f o Elastic properties of soft, three-dimensional dimers, interacting through site-site n-inverse-power potential, are determined by computer simulations at zero temperature. The degenerate crystal of dimers exhibiting (Gaussian) size distribution of atomic diameters – i.e. size polydispersity – is studied at the molecular number density 1= ffiffiffi 2 p ; the distance between...
متن کاملOn the dynamics and control of mechanical properties of hierarchical rotating rigid unit auxetics
In this work, we investigate the deformation mechanism of auxetic hierarchical rotating square systems through a dynamics approach. We show how their deformation behaviour, hence their mechanical properties and final configuration for a given applied load, can be manipulated solely by altering the resistance to rotational motion of the hinges within the system. This provides enhanced tunability...
متن کاملNegative poisson's ratio in single-layer black phosphorus.
The Poisson's ratio is a fundamental mechanical property that relates the resulting lateral strain to applied axial strain. Although this value can theoretically be negative, it is positive for nearly all materials, though negative values have been observed in so-called auxetic structures. However, nearly all auxetic materials are bulk materials whose microstructure has been specifically engine...
متن کاملHierarchical Auxetic Mechanical Metamaterials
Auxetic mechanical metamaterials are engineered systems that exhibit the unusual macroscopic property of a negative Poisson's ratio due to sub-unit structure rather than chemical composition. Although their unique behaviour makes them superior to conventional materials in many practical applications, they are limited in availability. Here, we propose a new class of hierarchical auxetics based o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره 471 شماره
صفحات -
تاریخ انتشار 2015