The elastic metric: A review of elasticity with large distortions

Keywords

Elasticity (physics), Elastic energy, Anisotropy, Linear elasticity, Distortion (music)

References

• The Mechanics and Thermodynamics of ContinuaMorton E. Gurtin, Eliot Fried, Lallit Anand — 2010
• Introduction to Continuum MechanicsW. Lai, D. Rubin, E. Krempl — 2009
• Scienza delle costruzioniFranco Algostino, Giorgio Faraggiana, A. Sassi Perino — 2006
• The multiplicative decomposition of the deformation gradient in the multiphysics modeling of ionic polymersS. Galante, Alessandro Lucantonio, Paola Nardinocchi — 2013
• Selected Issues in Liquid Crystal Elastomers and GelsKenji Urayama — 2007
• Tissue tension and axial growth of cylindrical structures in plants and elastic tissuesRebecca Vandiver, Alain Goriely — 2008
• Some remarks on the continuum theory of defects in solidsCesare Davini — 2001
• An Introduction to Differential Geometry with Applications to ElasticityPhilippe G. Ciarlet — 2006
• Strain induced shape formation in fibred cylindrical tubesPaola Nardinocchi, Luciano Teresi, Valerio Varano — 2012
• Compatibility and the genesis of residual stress by volumetric growthRichard Skalak, Stephen Zargaryan, Rakesh K. Jain — 1996
• The mechanics of non-Euclidean platesEran Sharon, Efi Efrati — 2010
• Compatibility conditions for a left Cauchy-Green strain fieldJanet A. Blume — 1989
• Growth and balanceAntonıo DiCarlo, Sara Quiligotti — 2002
• Morphogenesis of growing soft tissues.Julien Dervaux, Martine Ben Amar — 2007
• A Primer in ElasticityPaolo Podio–Guidugli — 2000
• On the Active Response of Soft Living TissuesPaola Nardinocchi, Luciano Teresi — 2007
• Torsion of the human left ventricle: experimental analysis and computational modeling.A. Evangelista, Paola Nardinocchi, Paolo Emilio Puddu — 2011
• Elastic theory of unconstrained non-Euclidean platesEfi Efrati, Eran Sharon, Raz Kupferman — 2008
• Programmed buckling by controlled lateral swelling in a thin elastic sheet.Marcelo A. Dias, James Hanna, Christian D. Santangelo — 2011
• Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limitJulien Dervaux, Pasquale Ciarletta, Martine Ben Amar — 2009

Cited by

• Evaluation of the strain-line patterns in a human left ventricle: a simulation studyStefano Gabriele, Paola Nardinocchi, Valerio Varano — 2015
• Multiphysics of bio-hybrid systems: shape control and electro-induced motionAlessandro Lucantonio, Paola Nardinocchi, Matteo Pezzulla — 2014
• Growth-induced compatible strainsManuela Minozzi, Paola Nardinocchi, Luciano Teresi — 2017
• Comparing Trajectories on the Size and Shape SpaceValerio Varano, Stefano Gabriele, Luciano Teresi — 2015
• Modeling and simulation of fish swimming with active muscles.Michele Curatolo, Luciano Teresi — 2016
• Swelling and growth: a constitutive framework for active solidsMichele Curatolo, Stefano Gabriele, Luciano Teresi — 2017
• Parallel transport of local strainsFranco Milicchio, Valerio Varano, Stefano Gabriele — 2018
• Some observations on variational elasticity and its application to plates and membranesJ. A. Hanna — 2018
• Self-influenced growth through evolving material inhomogeneitiesSalvatore Di Stefano, Ariel Ramírez‐Torres, Raimondo Penta — 2018
• Non-classical laws with conserved quantities from the arbitrary functions included in general solution to elasticity and applicationShi Weichen — 2019
• The heart function as a motor-brake system.Ivan Colorado Cervantes, Vittorio Sansalone, Luciano Teresi — 2019
• Viscoelastic flows with conservation lawsSébastien Boyaval — 2019
• Shape deformation from metric ’s transportLuciano Teresi, Franco Milicchio, Stefano Gabriele — 2020
• Dynamics of active swelling in contractile polymer gelsMichele Curatolo, Paola Nardinocchi, Luciano Teresi — 2020
• Computational design of shape-programmable gel platesAlessandro Lucantonio, Antonio DeSimone — 2020
• Modeling and simulation of the intermittent swimming gait with the muscle-contraction model of pre-strainsZhijie Zhao, Lei Dou — 2020
• Quadratic-stretch elasticityEduardo Vitral, James Hanna — 2021
• Transporting Deformations of Face Emotions in the Shape Spaces: A Comparison of Different ApproachesPaolo Piras, Valerio Varano, Maxime Louis — 2021
• Stress-free morphing by means of compatible distortions.Ivan Colorado-Cervantes, Valerio Varano, Luciano Teresi — 2022
• Optimal design of planar shapes with active materialsD. Andrini, Giovanni Noselli, Alessandro Lucantonio — 2022

Related papers

• Saint-Venant's principle in linear elasticity with microstructureR.C. Batra — 1983
• Some Two-Dimensional Exterior Problems in a Linear Elastic Solid of Grade TwoN. N. Eshel, Gerald Rosenfeld — 1973
• Some Applications of Integrated ElasticityA. T. Assaad, G. B. Sinclair — 2007
• A note on the linearized finite theory of elasticityMaria Luisa Tonon — 2009
• Thin structures in linear elasticityAlain Brillard — 2002
• FETI‐DP Methods for P‐ElasticityAxel Klawonn, Patrizio Neff, Oliver Rheinbach — 2008
• On the strong closure of strains and stresses in linear elasticityMarkku Miettinen, Uldis Raitums — 1999
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