Construct · 3 fields · 4 citations

buckling: one construct, many systems

One name. One construct. Different systems. One map.

● invariant · one construct, three systems Nearest construct by meaning·not indexed
same compressive instability in rock layerssame instability from constrained growth in tissuebuckling3 SYSTEMSColumn bucklingEULER · CRITICAL LOADFold bucklingBIOT · 1961Morphogenetic bucklingSHYER & TALLINEN · GROWTH

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1961Column buckling1961Fold buckling2013Morphogenetic buckling
2026

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Structural mechanics

A loaded column suddenly bows sideways

In structural mechanics, buckling is a sudden sideways deflection of a slender member under compression: below a critical load the member stays straight, but once that load is reached it bows out abruptly and may collapse, failing by instability well before the material itself is crushed. Timoshenko and Gere's Theory of Elastic Stability develops the critical-load analysis that grew from Euler's eighteenth-century column formula. The referent is an elastic instability under compressive load, defined by a critical (buckling) load and a mode shape, the same mechanics that reshapes folded rock strata and growing tissue.[1]

Unit
The critical (buckling) load and the buckled mode shape
Recovery means
Not applicable
Measured by
Predicted by the critical load (slenderness ratio and boundary conditions) and observed as the onset deflection and mode shape

Structural geology

Compressed rock layers fold into waves

In structural geology, buckling is how layered rock responds to compression along its bedding: a stiff layer embedded in weaker rock becomes unstable and folds at a preferred wavelength set by the layer's thickness and the stiffness contrast with its surroundings. Biot's 1961 Theory of folding of stratified viscoelastic media and its implications in tectonics and orogenesis gave the mechanical theory predicting that dominant wavelength. It is the same compressive instability as a buckling column, operating over geological time in viscoelastic strata and read out as fold wavelength and amplitude rather than a single critical load.[2]

Unit
The dominant fold wavelength (and amplitude) of the buckled layers
Recovery means
Not applicable
Measured by
Related to layer thickness and viscosity/stiffness contrast via the dominant-wavelength theory; measured as fold wavelength and amplitude

Developmental biology

Constrained growth folds a tissue surface

In developmental biology, buckling explains how smooth tissues acquire folds: when a growing layer is constrained by a stiffer or slower-growing substrate, the resulting compression drives a mechanical instability that wrinkles the surface, as in the villi of the gut and the convolutions of the brain. Shyer and colleagues' 2013 Villification: How the Gut Gets Its Villi and Tallinen and colleagues' 2016 On the growth and form of cortical convolutions show these forms arising from growth-induced buckling. It is the same elastic instability as in a column or folded strata, here powered by differential growth and measured as the wavelength and pattern of the folds.[3][4]

Unit
The wavelength and pattern of growth-induced surface folds
Recovery means
Not applicable
Measured by
Studied by growth-mismatch models and physical gel analogues, with fold wavelength and pattern compared to the real tissue

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Nearby constructs

column1 fields · 2 citationsanchor · a standalone constructamplitude4 fields · 4 citationsjingle · one word, four constructscollapse4 fields · 5 citationsjingle · one word, four constructs

References

  1. Timoshenko, S. P., & Gere, J. M. (2009). Theory of elastic stability (2nd ed.). Dover Publications. (Original work published 1961) ISBN 9780486472072
  2. Biot, M. A. (1961). Theory of folding of stratified viscoelastic media and its implications in tectonics and orogenesis. Geological Society of America Bulletin, 72(11), 1595–1620. https://doi.org/10.1130/0016-7606(1961)72[1595:tofosv]2.0.co;2
  3. Shyer, A. E., Tallinen, T., Nerurkar, N. L., Wei, Z., Gil, E. S., Kaplan, D. L., Tabin, C. J., & Mahadevan, L. (2013). Villification: How the gut gets its villi. Science, 342(6155), 212–218. https://doi.org/10.1126/science.1238842
  4. Tallinen, T., Chung, J. Y., Rousseau, F., Girard, N., Lefèvre, J., & Mahadevan, L. (2016). On the growth and form of cortical convolutions. Nature Physics, 12(6), 588–593. https://doi.org/10.1038/nphys3632

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