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Geometrically incompatible confinement of solids

https://doi.org/10.1073/pnas.1815507116
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Analysis of a Compressed Thin Film Bonded to a Compliant Substrate: The Energy Scaling Law
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Buckling of a stiff film bound to a compliant substrate—Part I:
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On C1-isometric imbeddings. I
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The Bending and Stretching of Plates
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The Theory of Elasticity
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Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer
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The smectic order of wrinkles
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Direct observation of the temporal and spatial dynamics during crumpling
inferredcites →https://doi.org/10.1073/pnas.1012872108openalex-snapshot
Platonic and Archimedean geometries in multicomponent elastic membranes
inferredcites →https://doi.org/10.1073/pnas.1108553108openalex-snapshot
Prototypical model for tensional wrinkling in thin sheets
inferredcites →https://doi.org/10.1073/pnas.1201201109openalex-snapshot
Elastic sheet on a liquid drop reveals wrinkling and crumpling as distinct symmetry-breaking instabilities
inferredcites →https://doi.org/10.1073/pnas.1301695110openalex-snapshot
Universal collapse of stress and wrinkle-to-scar transition in spherically confined crystalline sheets
inferredcites →https://doi.org/10.1073/pnas.1521520113openalex-snapshot
Curvature-induced stiffness and the spatial variation of wavelength in wrinkled sheets
inferredcites →https://doi.org/10.1098/rsta.2016.0157openalex-snapshot
Wrinkling of a thin circular sheet bonded to a spherical substrate
inferredcites →https://doi.org/10.1103/physreva.38.1005openalex-snapshot
Defects in flexible membranes with crystalline order
inferredcites →https://doi.org/10.1103/physreve.91.012407openalex-snapshot
Sheet on a deformable sphere: Wrinkle patterns suppress curvature-induced delamination
inferredcites →https://doi.org/10.1103/physrevlett.107.164302openalex-snapshot
Compression Induced Folding of a Sheet: An Integrable System
inferredcites →https://doi.org/10.1103/physrevlett.109.054302openalex-snapshot
Stamping and Wrinkling of Elastic Plates
inferredcites →https://doi.org/10.1103/physrevlett.118.048004openalex-snapshot
Geometry-Driven Folding of a Floating Annular Sheet
inferredcites →https://doi.org/10.1103/physrevlett.80.2358openalex-snapshot
Conical Surfaces and Crescent Singularities in Crumpled Sheets
inferredcites →https://doi.org/10.1103/physrevlett.90.074302openalex-snapshot
Geometry and Physics of Wrinkling
inferredcites →https://doi.org/10.1103/revmodphys.79.643openalex-snapshot
Stress focusing in elastic sheets
inferredcites →https://doi.org/10.1126/science.1154069openalex-snapshot
Stress and Fold Localization in Thin Elastic Membranes
inferredcites →https://doi.org/10.1209/0295-5075/114/24003openalex-snapshot
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
inferredcites →https://doi.org/10.2307/1969840openalex-snapshot
C 1 Isometric Imbeddings

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Pattern Formation in Confined Core‐Shell Structures: Stiffness, Curvature, and Hierarchical Wrinkling
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Soft Kirigami Composites for Form‐Finding of Fully Flexible Deployables
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Dynamic Structural Color from Wrinkled Thin Films
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Curvature-Driven Wrinkling of Thin Elastic Shells
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Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature
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Wrinkling of an elastic sheet floating on a liquid sphere
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Elastogranularity in binary granular mixtures
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Dilation-Invariant Bending of Elastic Plates, and Broken Symmetry in Shells
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Morphological instability of geometrically incompatible bilayer tubes
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Geometrical incompatibility regulated pattern selection and morphological evolution in growing spherical soft tissues
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Numerical investigation of growth-induced buckling of soft filaments in confined spaces
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Two-dimensional crystals on adhesive substrates subjected to uniform transverse pressure
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Simulation of crumpled sheets via alternating quasistatic and dynamic representations
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Radial buckle delamination around 2D material tents
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Poking and bulging of suspended thin sheets: Slippage, instabilities, and metrology
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Geometrical incompatibility guides pattern selection in growing bilayer tubes
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Geometric and mechanical rules governing the confined coiling of thin shells
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Elastogranular Sheets
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Curvature-Mediated Forces on Elastic Inclusions in Fluid Interfaces
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Cuboidal Deformation of Multimaterial Composites Prepared by 3-D Printing of Liquid Crystalline Elastomers
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Hierarchical Self-Assembly of Magnetic Handshake Materials
inferred← citeshttps://doi.org/10.1038/s41467-024-47844-xopenalex-snapshot
Flower-shaped 2D crystals grown in curved fluid vesicle membranes
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Exact solutions for the wrinkle patterns of confined elastic shells
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Buffering by buckling as a route for elastic deformation
inferred← citeshttps://doi.org/10.1039/c9sm02152copenalex-snapshot
Packing transitions in the elastogranular confinement of a slender loop
inferred← citeshttps://doi.org/10.1039/d0sm00250jopenalex-snapshot
Geometry underlies the mechanical stiffening and softening of an indented floating film
inferred← citeshttps://doi.org/10.1039/d3sm01108aopenalex-snapshot
Curvature screening in draped mechanical metamaterial sheets
inferred← citeshttps://doi.org/10.1039/d3sm01347bopenalex-snapshot
Faceted wrinkling by contracting a curved boundary
inferred← citeshttps://doi.org/10.1039/d4sm00439fopenalex-snapshot
Shape equilibria of vesicles with rigid planar inclusions
inferred← citeshttps://doi.org/10.1073/pnas.1820937116openalex-snapshot
Buckling sheets open a door to understanding self-organization in soft matter
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Dynamics of wrinkling in ultrathin elastic sheets
inferred← citeshttps://doi.org/10.1073/pnas.1916221117openalex-snapshot
Mesoscale structure of wrinkle patterns and defect-proliferated liquid crystalline phases
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Geometrical frustration of phase-separated domains in Coscinodiscus diatom frustules
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Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling
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Geometry-induced friction at a soft interface
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Frustrated shapes of solid domains in fluid vesicle membranes: from rolls and folds to crumples and wrinkles
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Isometric Incompatibility in Growing Elastic Sheets
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Modeling the behavior of inclusions in circular plates undergoing shape changes from two to three dimensions
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Birth and decay of tensional wrinkles in hyperelastic sheets
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Indentation of solid membranes on rigid substrates with van der Waals attraction
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Computational model of twisted elastic ribbons
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Wrinkling and developable cones in centrally confined sheets
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Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime
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Modeling the formation of double rolls from heterogeneously patterned gels
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Elasticity in curved topographies: Exact theories and linear approximations
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Sculpting Liquids with Ultrathin Shells
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Geometrically Frustrated, Mechanical Metamaterial Membranes: Large-Scale Stress Accumulation and Size-Selective Assembly
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Shape of a Membrane on a Liquid Interface with Arbitrary Curvatures
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Crumples as a Generic Stress-Focusing Instability in Confined Sheets
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An Efficient Nonlinear Mass-Spring Model for Anatomical Virtual Reality
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Self-Debonding of Adhesive Thin Films on Convex Cylindrical Surfaces and Spherical Surfaces
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Conformal Theoretical Modeling of Arbitrary Shape Flexible Electronic Sensors Mounted Onto General Curved Surface Substrates
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Conformability of flexible sheets on spherical surfaces
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Stretching Hookean ribbons part II: from buckling instability to far-from-threshold wrinkle pattern
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Nature’s forms are frilly, flexible, and functional
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Mechanics of moving defects in growing sheets: 3-d, small deformation theory
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Continuum mechanics of moving defects in growing bodies
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