Square symmetric double-double laminate structures and methods for manufacturing and using the same

A method of forming a square symmetric composite laminate structure, the method comprising the steps of:

• forming a first ply layer by dispensing a first set of first elongate tapes oriented in a first direction and a second set of second elongate tapes oriented in a second direction, a first sum of the first and second directions being 90 degrees, and
• forming a second ply layer by dispensing a third set of first elongate tapes oriented in a third direction and a fourth set of second elongate tapes oriented in a fourth direction, a second sum of the third and fourth directions being 90 degrees,
• wherein:
• the first and second directions are different than the third and fourth directions, respectively;
• the first ply layer has a layup of [Φ/(π/2−Φ)] and the second ply layer has a layup of [−Ψ/−(π/2−Ψ)];
• and
• the second elongate tape is positioned adjacent the third elongate tape and the second and third elongate tapes are both positioned intermediate the first and fourth elongate tapes, thereby defining a double-double helix arrangement of the respective elongate tapes forming the first and second ply layers.