A processing apparatus equipped with a catalyst-supporting honeycomb structure, which is characterized in that corrugated plate-like glass fiber papers having a functional catalyst supported thereon and flat plate-like glass fiber papers having the same functional catalyst supported thereon are alternately laminated without being bonded to each other, to form a catalyst-supporting honeycomb structure, and this catalyst-supporting honeycomb structure is packed in a casing.

A manufacturing method of a honeycomb structure includes a forming step of preparing a forming raw material containing a cordierite forming material and an inorganic binder, and kneading and forming the prepared forming raw material to have a honeycomb shape; and a firing step of firing the prepared formed body. In the forming step, as the inorganic binder, smectite is used in which at least parts of interlayer metal cations are ion-exchanged with non-metal cations. In the smectite, a total amount of sodium to be contained in the smectite is 1.6 mass % or less in terms of oxides to 100 mass % of the smectite. A content ratio of the smectite in the forming raw material is 0.5 parts by mass or more and 4.0 parts by mass or less to 100 parts by mass of the cordierite forming material.

A three-dimensional auxetic structure, comprising a plurality of adjoining hollow cells, each hollow cell having cell walls and a transversal cross section of the plurality hollow cells following a two-dimensional auxetic pattern, each cell wall comprising folding lines parallel to a plane containing the auxetic pattern such that peaks and valleys are defined in the cell walls and the cell walls being foldable along the folding lines.

The polygonal part (1) has, on each side (C1 to C6), at least one of the following assembly elements: at least one lug (3), at least one recess (4), each of said lugs (3) and each of said recesses (4) of the part (1) having a trapezoidal shape, with in each case complementary shapes, the trapezium of each of said lugs (3) widening towards the outside of the part (1) and the trapezium of each of said recesses (4) widening towards the inside of the part (1), and each of said lugs (3) having a width, defined transversely with respect to a right bisector of the corresponding trapezium, which is greater than the width of each of said recesses (4).

A porous body constituting a porous partition wall 44 of a honeycomb filter 30 has a porosity P of 20% to 60%, a permeability k of 1 m.sup.2 or more and satisfies k0.2823 P10.404. The porous body is obtained by a method for producing, for example, includes (a) a step of acquiring porous body data representing a temporary porous body having porosity higher than target porosity, (b) a step of deriving information about a flow rate for each space voxel during passage of a fluid through inside of the porous body, (c) a step of preferentially replacing the voxel having a low flow rate among the space voxels with the object voxel, and adjusting the porosity of the porous body data to the target porosity, and (d) a step of forming a porous body based on the porous body data after replacement.

An object of the present invention is to obtain a fiber-reinforced composite material achieving both lightweight properties and mechanical properties at a high level. The present invention is a fiber-reinforced composite material including: a resin (A); and a reinforcing fiber (B), and including: a fiber-reinforced structure portion including an in-plane orientation portion having an average fiber orientation angle of the reinforcing fiber (B) of 0? or more and 45? or less and an out-of-plane orientation portion having an average fiber orientation angle of the reinforcing fiber (B) of more than 45? and 90? or less; and a cavity portion defined by the in-plane orientation portion and the out-of-plane orientation portion of the fiber-reinforced structure portion.

Issues with pleat walled honeycombs are solved by replacing polygonal creases with curved creases. As with a conventional straight-walled honeycomb, these strips can be combined into a space-filling honeycomb structure. The benefits of these curved creases are threefold. First, the stress concentrations mentioned above with pleat-walled honeycombs are mitigated. The stress due to finite material thickness is spread more evenly over the crease line, instead of being concentrated at a point, as with pleat walled honeycombs. As a result, the maximal value observed is lower and the adverse effects are reduced. Second, the curved creases also serve to give better control over material properties, and third, the curved crease honeycombs do not require any of the horizontally-running creases. The curves are typically mathematical curves that can be computed algebraically or by solving a differential equation.

A method of forming a thermoplastic cellular structure includes positioning a lower surface of a trough of a first corrugated thermoplastic sheet against an upper surface of a crest of a second corrugated thermoplastic sheet; positioning a support against a lower surface of the crest of the second corrugated thermoplastic sheet; and pressing a thermoplastic welding element against an upper surface of the trough of the first corrugated thermoplastic sheet so that at least a portion of the lower surface of the trough of the first corrugated thermoplastic sheet melts and bonds to at least a portion of the upper surface of the crest of the second corrugated thermoplastic sheet.

A method of forming a corrugated thermoplastic matrix composite sheet includes preheating a thermoplastic matrix composite sheet including a thermoplastic matrix and a reinforcement material to at least about a melting temperature of the thermoplastic matrix; preheating at least one of a pair of complementary corrugating tools to at least about a glass transition temperature of the thermoplastic matrix; compressing the preheated thermoplastic matrix composite sheet between the pair of complementary corrugating tools to form a corrugation in the thermoplastic matrix composite sheet; and holding the corrugation between the pair of complementary corrugating tools until a portion of the thermoplastic matrix composite sheet having the corrugation is below the melting temperature of the thermoplastic matrix to form the corrugated thermoplastic matrix composite sheet.

A 3D printed structure of an elastic material may be provided. In one implementation, the 3D printed structure may include at least a first wall having a plurality of layers extending along a first axis. The first wall may include at least a primary structural layer, a first flexible layer, and a second flexible layer. The primary structural layer may have a first rigidity and at least one of the first flexible layer or the second flexible layer may have a second rigidity, the first rigidity being greater than the second rigidity.