English

Universal Scaling of Macroscopic Softening and Microscopic Scission in Phantom Chain Networks

Soft Condensed Matter 2026-05-22 v3

Abstract

This study demonstrates that the apparent complexity of fracture in phantom-chain polymer networks is fully decoupled into two universal master curves: (i) macroscopic softening governed by the absolute stretch, and (ii) microscopic scission governed solely by the relative stretch. Using the previously proposed network mechanics model, an analytical expression has been derived to quantitatively capture the nonlinear growth of microscopic damage. Combining the softening exponent with polymer-solution scaling yields a simple novel relationship, σnb/G(c/c)(1/3)\sigma_{nb} / G \propto (c / c^* )^{(-1/3)}, where σnb\sigma_{nb} is the nominal broken strength, GG is the initial shear modulus, cc is the prepolymer concentration, and cc^* is its overlapping threshold.

Keywords

Cite

@article{arxiv.2602.23669,
  title  = {Universal Scaling of Macroscopic Softening and Microscopic Scission in Phantom Chain Networks},
  author = {Yuichi Masubuchi},
  journal= {arXiv preprint arXiv:2602.23669},
  year   = {2026}
}

Comments

I have found mistake in the data processing for Fig 1, and the central claim of this manuscript must be reconsidered. Now I am reorganize the manuscript from scratch and the conclusion will differ