The disclosed embodiments relate to an insulative protective packaging material constructed using recyclable paper materials. The packaging material includes one or more plies of paper adhered to each other. The one or more plies can have protrusions that form gas pockets. The gas pockets can be sealed by another ply to provide shock absorbency and insulation. Further, the plies can be used in multiple ways such as by nesting the protrusions of one ply into the recessed of another ply, layering multiple plies on top of each other, or individually. Each ply can be substantially flat or have protrusions. The protrusions can be made in various ways such as alternating the directions that they extend and varying the shapes of the protrusions. The resulting packaging material can be used as a shipping container or as liners within shipping containers.

In at least some aspects, an auxetic structure includes a first sheet defining therein a plurality of a plurality of structural elements projecting from the first sheet, the plurality of structural elements being arranged to provide a negative Poisson's ratio, and a second sheet disposed adjacent the first sheet to define a first internal cavity between the first sheet and the second sheet. In yet other aspects, one or more additional sheets may be advantageously provided to provide a multi-layered structure having auxetic properties.

The disclosed embodiments relate to an insulative protective packaging material constructed using recyclable paper materials. The packaging material includes one or more plies of paper adhered to each other. The one or more plies can have protrusions that form gas pockets. The gas pockets can be sealed by another ply to provide shock absorbency and insulation. Further, the plies can be used in multiple ways such as by nesting the protrusions of one ply into the recessed of another ply, layering multiple plies on top of each other, or individually. Each ply can be substantially flat or have protrusions. The protrusions can be made in various ways such as alternating the directions that they extend and varying the shapes of the protrusions. The resulting packaging material can be used as a shipping container or as liners within shipping containers.

A kirigami structure including a thin flat sheet and a square-shaped array of perforations cut in the sheet. The array includes alternating rows and columns of adjacent orthogonal perforations interconnected via respective ligaments. The array forms a two-dimensional planar surface in a load-free state, and a three-dimensional kirigami surface in a tensile-load state in which a tensile load applied to the sheet causes out-of-plane buckling of the ligaments.

Apparatus and methods for forming three dimensional structures from a sheet of material of a desired medium are described. Examples described include an apparatus for folding a sheet of material to create a folded structure, the apparatus having a first and second array of creasing elements, and at least one actuator for causing relative movement of the first and second array of creasing elements from a first position to a second position.

A method and apparatus for forming patterns on sheet material are disclosed. The method comprises a continuous lateral stretch process for producing zero- or near zero-curvature structures. In a preferred embodiment, the method comprises pre-gathering the sheet material in the lateral direction to form longitudinal corrugated folds and then feeding the corrugated material through one or more sets of oscillating formers, preferably articulating discs, to impart folding in the lateral direction. Optionally, the sheet material may be fed through one or more sets of patterned rollers.

The disclosed embodiments relate to an insulative protective packaging material constructed using recyclable paper materials. The packaging material includes one or more plies of paper adhered to each other. The one or more plies can have protrusions that form gas pockets. The gas pockets can be sealed by another ply to provide shock absorbency and insulation. Further, the plies can be used in multiple ways such as by nesting the protrusions of one ply into the recessed of another ply, layering multiple plies on top of each other, or individually. Each ply can be substantially flat or have protrusions. The protrusions can be made in various ways such as alternating the directions that they extend and varying the shapes of the protrusions. The resulting packaging material can be used as a shipping container or as liners within shipping containers.

A method for providing folded sheet structures comprising selecting an aspect surface, applying a shaping function to said aspect surface to yield a shaped surface, applying a floating point method to obtain a floated surface, and calculating a corresponding fold pattern on a unfolded sheet. The floating point method can be applied reiteratively to calculate the corresponding fold pattern. Machines for folding multifold structures, laminate structures, and micro- and nano-structures are disclosed.

A fibre-containing sheet comprising a folding pattern and a partly or fully folded sheet product obtained from the fibre-containing sheet is disclosed. The folding pattern of the fibre-containing sheet comprises a series of parallel straight fold lines and a series of zigzag fold lines. Each zigzag fold line has a breadth which is greater than a breadth of a straight fold line. The partly folded sheet product can be shaped into various complex geometrical shapes, including spheres and saddle points, as a result of the folding pattern. A method for producing the fibre-containing sheet as well as use of the fibre-containing sheet is also disclosed.

A method and apparatus for forming patterns on sheet material are disclosed. The method comprises a continuous lateral stretch process for producing zero- or near zero-curvature structures. In a preferred embodiment, the method comprises pre-gathering the sheet material in the lateral direction to form longitudinal corrugated folds and then feeding the corrugated material through one or more sets of oscillating formers, preferably articulating discs, to impart folding in the lateral direction. Optionally, the sheet material may be fed through one or more sets of patterned rollers.