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Continuum mechanics of moving defects in growing bodies

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Amit Acharya, Shankar C. Venkataramani

Soft Condensed Matter · Submitted 19 Jun 2019

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

The authors' main claim These higher-order defects move "easily", and thus confer a great degree of flexibility to thin hyperbolic elastic sheets.

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arXiv ID1906.08122 (version 1)
Pith IDJFJ744NA, Pith's permanent record of this paper and its review
CitationAmit Acharya, Shankar C. Venkataramani. "Continuum mechanics of moving defects in growing bodies." arXiv:1906.08122 (2019). https://pith.science/paper/JFJ744NA
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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, 4,207 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · 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; .

Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. These objects support novel types of mesoscopic defects - discontinuity lines for the second derivative and branch points - terminating defects for these line discontinuities. These higher-order defects move "easily", and thus confer a great degree of flexibility to thin hyperbolic elastic sheets. We develop a general, higher-order, continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. We illustrate our framework by obtaining the explicit equations for the dynamics of branch points in an elastic body.

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 Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. background 1.00 0.13 0.04 asserted 1.00
s1 These objects support novel types of mesoscopic defects - discontinuity lines for the second derivative and branch points - terminating defects for these line discontinuities. result 0.46 0.36 0.10 asserted 1.00
s2 These higher-order defects move "easily", and thus confer a great degree of flexibility to thin hyperbolic elastic sheets. interpretation 0.49 0.50 0.41 asserted 1.00
s3 We develop a general, higher-order, continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. contribution 0.67 0.96 0.15 asserted 1.00
s4 We illustrate our framework by obtaining the explicit equations for the dynamics of branch points in an elastic body. contribution 0.56 0.96 0.14 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 1.00.

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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

Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. These objects support novel types of mesoscopic defects - discontinuity lines for the second derivative and branch points - terminating defects for these line discontinuities. These higher-order defects move "easily", and thus confer a great degree of flexibility to thin hyperbolic elastic sheets. We develop a general, higher-order, continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. We illustrate our framework by obtaining the explicit equations for the dynamics of branch points in an elastic body.

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