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<p>Traditional Quad with a collection of fixed 0°, ±45°, and 90° plies can be replaced by double-double (DD in [±<i>Φ</i>/±<i>Ψ</i>]) that offers effective mid-plane symmetry, easy homogenization, tapered panels, single ply drops, scaling properties without recalculation, and 1-axis layup of pre-plied tapes or sheets. Quad brings numerous complexities in laminate selection based on ply number, ply angle distribution, stacking sequence, and blending in addition to many other rules. DD is simple when trace and the area of failure envelopes are the single parameters to scale materials and laminates, respectively. If such parameters for material A are 20% higher than material B, that value applies to all laminates; when laminate A is 30% over laminate B, that value applies to all materials. Field-based DD belongs to one orthotropic family with 4-ply, and 2 stacking-sequences; while discrete Quad laminates are from dozens of non-orthotropic families with thousands of stacking-sequences. Easy, rational DD is more likely to broaden applications and meet societal goals. With solid foundation and novel manufacturing, DD is destined to set a path for the future of composites.</p>

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A new theory and practices for composite laminates

  • 期刊论文

  • 发表日期：

    2026年6月3日

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  • Stephen W. Tsai

摘要

Traditional Quad with a collection of fixed 0°, ±45°, and 90° plies can be replaced by double-double (DD in [±Φ/±Ψ]) that offers effective mid-plane symmetry, easy homogenization, tapered panels, single ply drops, scaling properties without recalculation, and 1-axis layup of pre-plied tapes or sheets. Quad brings numerous complexities in laminate selection based on ply number, ply angle distribution, stacking sequence, and blending in addition to many other rules. DD is simple when trace and the area of failure envelopes are the single parameters to scale materials and laminates, respectively. If such parameters for material A are 20% higher than material B, that value applies to all laminates; when laminate A is 30% over laminate B, that value applies to all materials. Field-based DD belongs to one orthotropic family with 4-ply, and 2 stacking-sequences; while discrete Quad laminates are from dozens of non-orthotropic families with thousands of stacking-sequences. Easy, rational DD is more likely to broaden applications and meet societal goals. With solid foundation and novel manufacturing, DD is destined to set a path for the future of composites.