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Growth induced instabilities in a circular hyperelastic plate

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Sumit Mehta, Gangadharan Raju, Prashant Saxena

Pattern Formation and Solitons · Submitted 11 Mar 2021

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

The authors' main claim The effect of growth on the buckling behaviour of the plate (in particular, the critical growth factor and the associated buckling mode shapes) is investigated for different thickness values.

how it is stated · asserted 0.98 read the record →

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arXiv ID2103.06534 (version 1)
Pith IDTILYU6HG, Pith's permanent record of this paper and its review
CitationGangadharan Raju, Prashant Saxena, Sumit Mehta. "Growth induced instabilities in a circular hyperelastic plate." arXiv:2103.06534 (2021). https://pith.science/paper/TILYU6HG
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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, 4,217 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.14 · human participants 0.03 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under a general finite strain are derived using a variational approach. The derived plate equations are solved using the compound matrix method for two cases of axisymmetric growth conditions - purely radial, and combined radial and circumferential growth. The effect of growth on the buckling behaviour of the plate (in particular, the critical growth factor and the associated buckling mode shapes) is investigated for different thickness values. These results are applicable to model growth induced deformation in planar soft tissues such as skin.

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 In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. contribution 0.97 0.95 0.06 asserted 0.94
s1 Consistent two-dimensional governing equations for a plate under a general finite strain are derived using a variational approach. method 0.94 0.95 0.03 asserted 1.00
s2 The derived plate equations are solved using the compound matrix method for two cases of axisymmetric growth conditions - purely radial, and combined radial and circumferential growth. method 0.99 0.95 0.06 asserted 1.00
s3 The effect of growth on the buckling behaviour of the plate (in particular, the critical growth factor and the associated buckling mode shapes) is investigated for different thickness values. result 0.52 0.93 0.31 asserted 0.98
s4 These results are applicable to model growth induced deformation in planar soft tissues such as skin. interpretation 1.00 0.30 0.14 asserted 0.88

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.86.

What was examined, and what was not

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  • 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

In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under a general finite strain are derived using a variational approach. The derived plate equations are solved using the compound matrix method for two cases of axisymmetric growth conditions - purely radial, and combined radial and circumferential growth. The effect of growth on the buckling behaviour of the plate (in particular, the critical growth factor and the associated buckling mode shapes) is investigated for different thickness values. These results are applicable to model growth induced deformation in planar soft tissues such as skin.

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