Omni-extensible Anisotropic Topologies
Micro-Structured Materials can be thought of as new 'raw' material resources, and combined with macro- molecular shapes to create hybrid materials. Arrays continue that hierarchical sequence resulting from combinations of materials, micro- and macromolecular shapes, connecting ligatures and the periodic ordering of space into lattices. The lattices can be organized into “bending” and “stretch” dominated types with further assignment of properties of axial strength and flexural stiffness (see Michael Ashby's Materials Selection in Mechanical Design, p. 297-8, 363-370).
 We can begin to think of an array as an integrated system where local stresses are being broadly transmitted throughout the structure, and locally absorbed. This principle points toward valuable economies in material. We may instead design the system on the assumption that local stresses are shared by all its members. The normal state of the system is not “solid state” but a state of dynamic equilibrium. A corresponding multi-directional compression-tension network encloses accidental stresses wherever they arise. The tendency toward peripheral or localization of stress is replaced by prescriptive multi-directional stress equilibrium.
Flextegrity’s patents describe the arrays that vary anisotropically omni-topologically creating myriad hybrid materials. The materials themselves can be made of micromolecular cells aggregated into clusters of polyhedra. For example, icosahedra can be ordered into cubo-octahedral macro- molecular clusters made from interconnect- ing icosahedra to form a larger lattice which in turn is “shaped” into an I-beam for greater efficiency in loading and use of material. Materials can be molded, assembled, arranged and optimally shaped to address forces in axial tension, bending, torsion and axial compression. Micro analysis of the forces within the shape can also be used prescriptively to add or enhance localized properties of the material and address problems leading to failure. This is turn allows further optimization of the shape factor to respond successfully to stresses such as I-beams in torsion, bending and bulging of shapes in axial compression, and vibration damping within torsional shafts. |
