Mechanical analysis of composite leaf springs made by 4D printing method

Mohammad Hamidpour, Suong Van Hoa · Emerald · 2025

4DPC composite leaf springs curl from a flat layup into a curved beam, and residual stresses at the 90° layer surface reduce tensile loading enough to improve fatigue resistance.

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Plain English summary

The paper explains why composite curved beams made by 4D Printing of Composites (4DPC) can endure many fatigue cycles without obvious degradation. The beam is built from an unsymmetric laminate with 0° and 90° fiber/epoxy layers laid flat on a flat mold. After curing and cooling to room temperature, the flat stack curls into a curved beam. The authors attribute this shape change to anisotropy: different thermal contraction coefficients between the 0° and 90° layers create interactions that generate curvature. Their mechanical analysis focuses on residual strains and residual stresses formed at the surface of the 90° layers (described as the concave surface). They report that these residual stresses/strains are large enough to reduce the tensile strains and stresses produced during mechanical loading, so the combined values stay below the material’s surface strain/stress limits, which they use to explain the improved fatigue resistance. The abstract also notes practical implications: the method uses only a flat mold and may be attractive for custom-made springs, and the same structure could be used as actuators where thermal variation changes curvature.

Why this matters

The paper’s originality is presented as an explanation for the “extraordinary behavior” (good fatigue resistance) of 4DPC-made curved composite structures, linking it to residual strains/stresses generated by anisotropic lay-up and thermal contraction. The abstract discusses practical implications and potential attractiveness for custom production, but it does not provide evidence of commercialization, field testing, or manufacturing scale-up.

Key findings

  • Residual strains and residual stresses are created at the surface of the 90° layer (concave surface).
  • The residual strains/stresses are sufficiently large to significantly reduce tensile strains/stresses from mechanical loading.
  • The combined strains/stresses become less than the material limits at the 90° layer surface.
  • The flat-to-curved transformation is enabled by anisotropic lay-up (0°/90°) and differential thermal contraction during cooling.

Limitations

The abstract states that 4DPC relies on anisotropy of the lay-up to create shape transformation, and that high fiber volume fraction (~60%) is needed for stiffness/strength, making very small-radius structures difficult. It also notes mold investment may be less critical only for very large production, while the method is more attractive for custom springs.

Publication

Publisher
Emerald
Publication date
July 3, 2025
Research type
Paper

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Method note: Summaries and ratings on this page are generated by AI from the abstract only. Read the original paper for full context. · Model: gpt-5.4-nano-2026-03-17