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Landau theory of bending-to-stretching transition

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O.U. Salman, G.Vitale, L. Truskinovsky

Soft Condensed Matter · Submitted 4 Jun 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response.

how it is stated · asserted 0.76 read the record →

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arXiv ID1906.01750 (version 4)
Pith IDSGCWGNKP, Pith's permanent record of this paper and its review
CitationG.Vitale, L. Truskinovsky, O.U. Salman. "Landau theory of bending-to-stretching transition." arXiv:1906.01750 (2019). https://pith.science/paper/SGCWGNKP
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,166 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.03 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

Transition from bending-dominated to stretching-dominated elastic response in semi-flexible fibrous networks plays an important role in the mechanical behavior of cells and tissues. It is induced by changes in network connectivity and relies on construction of new cross-links. We propose a simple continuum model of this transition with macroscopic strain playing the role of order parameter. An unusual feature of this Landau-type theory is that it is based on a single-well potential. We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Transition from bending-dominated to stretching-dominated elastic response in semi-flexible fibrous networks plays an important role in the mechanical behavior of cells and tissues. background 1.00 0.06 0.05 asserted 1.00
s1 It is induced by changes in network connectivity and relies on construction of new cross-links. background 1.00 0.12 0.04 asserted 1.00
s2 We propose a simple continuum model of this transition with macroscopic strain playing the role of order parameter. contribution 0.52 0.92 0.10 asserted 0.90
s3 An unusual feature of this Landau-type theory is that it is based on a single-well potential. contribution 0.65 0.77 0.08 asserted 1.00
s4 We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response. result 0.97 0.87 0.70 asserted 0.76

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.75.

What was examined, and what was not

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  • arXiv listing abstract v4
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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Transition from bending-dominated to stretching-dominated elastic response in semi-flexible fibrous networks plays an important role in the mechanical behavior of cells and tissues. It is induced by changes in network connectivity and relies on construction of new cross-links. We propose a simple continuum model of this transition with macroscopic strain playing the role of order parameter. An unusual feature of this Landau-type theory is that it is based on a single-well potential. We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response.

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