Surface growth kinematics via local curve evolution

Surface growth kinematics via local curve evolution

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A mathematical framework is developed to model the kinematics of surface growth for objects that can be generated by evolving a curve in space, such as seashells and horns. Growth is dictated by a growth velocity vector field defined at every point on a generating curve. A local orthonormal basis is...

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Bibliografiske detaljer
Main Authors:	Moulton, D, Goriely, A
Format:	Journal article
Udgivet:	2011

Lignende værker

Surface growth kinematics via local curve evolution
af: Moulton, D, et al.
Udgivet: (2014)

Surface growth kinematics via local curve evolution.
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Kinematic surfaces with congruent generatrix curves
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Anticavitation and Differential Growth in Elastic Shells
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Anticavitation and differential growth in elastic shells
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Possible role of differential growth in airway wall remodeling in asthma.
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Udgivet: (2011)

Possible role of differential growth in airway wall remodeling in asthma
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Udgivet: (2010)

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth
af: Rudraraju, S, et al.
Udgivet: (2019)

Mechanical basis of morphogenesis and convergent evolution of spiny seashells.
af: Chirat, R, et al.
Udgivet: (2013)

Mechanical growth and morphogenesis of seashells.
af: Moulton, D, et al.
Udgivet: (2012)

Mechanical growth and morphogenesis of seashells
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Udgivet: (2012)

Measurements of nearshore ocean-surface kinematics through coherent arrays of free-drifting buoys
af: E. Rainville, et al.
Udgivet: (2023-11-01)

Morphomechanics and developmental constraints in the evolution of ammonites shell form
af: Erlich, A, et al.
Udgivet: (2016)

Growth induced curve dynamics for filamentary micro-organisms.
af: Goriely, A, et al.
Udgivet: (2005)

Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues
af: Goriely, A, et al.
Udgivet: (2010)

Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues
af: Goriely, A, et al.
Udgivet: (2010)

Morphoelastic rods III: Differential growth and curvature generation in elastic filaments
af: Moulton, DE, et al.
Udgivet: (2020)

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth.
af: Shiva Rudraraju, et al.
Udgivet: (2019-07-01)

Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
af: O'Keeffe, S, et al.
Udgivet: (2013)

Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix
af: O'Keeffe, S, et al.
Udgivet: (2013)

Mechanical feedback in seashell growth and form
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Relativistic kinematics in flat and curved space-times
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Udgivet: (2023-11-01)

The Physics and Mechanics of Biological Systems
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Circumferential buckling instability of a growing cylindrical tube
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Udgivet: (2011)

The Mathematics Behind Sherlock Holmes: A Game of Shadows
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Udgivet: (2012)

Circumferential buckling instability of a growing cylindrical tube
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Udgivet: (2010)

The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
af: Philip Broadbridge, et al.
Udgivet: (2011-06-01)

Tendril Perversion in Intrinsically Curved Rods.
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Udgivet: (2002)

In Situ Growth of Mushroom‐Shaped Adhesive Structures on Flat/Curved Surfaces via Electrical Modulation
af: Hongmiao Tian, et al.
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Free-surface evolution and wave kinematics for nonlinear uni-directional focused wave groups
af: Ning, D, et al.
Udgivet: (2009)

Free-surface evolution and wave kinematics for nonlinear uni-directional focused wave groups
af: Ning, D, et al.
Udgivet: (2009)

Morphoelastic rods: Part II: Growing birods
af: Lessinnes, T, et al.
Udgivet: (2015)

Morphoelastic rods Part 1: A single growing elastic rod
af: Moulton, D, et al.
Udgivet: (2012)

Morphoelastic rods. Part I: A single growing elastic rod
af: Moulton, D, et al.
Udgivet: (2013)

Morphoelastic rods: Part II: Growing birods
af: Lessinnes, T, et al.
Udgivet: (2015)

Morphoelastic rods. Part I: A single growing elastic rod
af: Moulton, D, et al.
Udgivet: (2013)

Morphoelastic rods Part II: Growing birods
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Udgivet: (2015)

Building a carnivorous trap
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Optimal locally repairable codes via elliptic curves
af: Li, Xudong, et al.
Udgivet: (2020)

On-shell correlators and color-kinematics duality in curved symmetric spacetimes
af: Clifford Cheung, et al.
Udgivet: (2022-05-01)