Dynamics of lattice structures

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Lattice structures are ubiquitous: from the regular arrangement of hexagonal cells in the brood of a honey bee to roof trusses and gas turbine blades. They are all characterized by a unit that repeats itself either linearly or cyclically in one, two, or three-dimensions. The notion of micro-architectured metallic truss lattice materials has received wide interest among the mechanics of materials community over the past five years. Central to these efforts is the goal to achieve tailored lattice architectures with high specific stiffness and strength in all metallic and composite structures. Such structures have applications in aerospace and automotive industries. Today, engineers are in a position to 'write' complex three dimensional lattice patterns in a computer which will be translated to a manufactured component, thanks to modern manufacturing techniques such as laser micromachining, micro printing, and soft lithography. This is possible due to the developments in microelectronics industry.