Space group R3 symmetry-based three-dimensional woven material and weaving method thereof
A technology of three-dimensional weaving and space group, which is applied in the direction of braided fabrics, textiles and papermaking, etc., can solve the problem that the feasibility study of three-dimensional weaving material weaving method has not yet been carried out, and achieve the effect of good mechanical properties and stable geometric structure
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[0048] The structure of the specific embodiment of the three-dimensional braided material based on space group R3 symmetry of the present invention is introduced as follows:
[0049] 1. Satisfy point group C 3 Symmetrical three-dimensional braided geometric unit cell
[0050] In the three-dimensional coordinate system xyz, the z axis is set as the rotation axis, and the space point group C 3 The group elements of The generator of the group is c 3z . Space point group C 3 is a pure rotational symmetry group. group element c 3z Indicates a 120° rotation around the z-axis; Indicates a 240° rotation around the z-axis, Indicates a 360° rotation around the z-axis or no movement.
[0051] point group C 3 The symmetry operation corresponding to the group elements of is expressed as
[0052] c 3 z ( x , y , z ) ...
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