Growth and balance

Keywords

Balance (ability), Material balance, Detailed balance, Mechanics, Classical mechanics

References

• Trends in applications of mathematics to mechanicsWilhelm Schneider, H. Troger, Franz Ziegler — 1991
• A first course in rational continuum mechanicsC. Truesdell — 1976
• The method of virtual power in continuum mechanics: Application to coupled fieldsGérard A. Maugin — 1980
• Some remarks on the continuum theory of defects in solidsCesare Davini — 2001
• Biomechanics of Growth, Remodeling, and MorphogenesisLarry A. Taber — 1995
• Thermomechanics of volumetric growth in uniform bodiesMarcelo Epstein, Gérard A. Maugin — 2000
• Foundations Of MechanicsRalph Abraham, Hugh D. Young — 2019
• Theoretical study of stress-modulated growth in the aorta.Larry A. Taber, Daniel W. Eggers — 1996
• Biomechanical growth laws for muscle tissue.Larry A. Taber — 1998
• A model for aortic growth based on fluid shear and fiber stresses.Larry A. Taber — 1998
• Elastic-Plastic Deformation at Finite StrainsE. H. Lee — 1969
• Allgemeine Kontinuumstheorie der Versetzungen und EigenspannungenEkkehart Kröner — 1959
• The Method of Virtual Power in Continuum Mechanics. Part 2: MicrostructureP. Germain — 1973
• The nature of configurational forcesMorton E. Gurtin — 1995
• Stress-dependent finite growth in soft elastic tissues.Edward K. Rodriguez, Anne Hoger, Andrew D. McCulloch — 1994
• Applicable Differential GeometryM. Crampin, F. A. E. Pirani — 1987
• Applicable Differential Geometry: The tangent and cotangent bundlesM. Crampin, F. Pirani — 1987

Cited by

• Morphoelasticity: The Mechanics and Mathematics of Elastic GrowthRebecca Vandiver — 2009
• Mathematical modelling of biosystemsRubem P Mondaini, Pãnos M. Pardalos — 2008
• Mathematical modeling of anisotropic avascular tumor growthAriel Ramírez‐Torres, Reinaldo Rodrı́guez-Ramos, J. Merodio — 2015
• Modelling and simulation of adaptation and degradation in anisotropic biological tissuesTobias Waffenschmidt — 2013
• The Mechanics And Molecular Regulation Of Heart Valve MorphogenesisP. Buskohl — 2012
• Myocardial Contractions and the Ventricular Pressure--Volume RelationshipPaola Nardinocchi, Luciano Teresi, Valerio Varano — 2010
• On the remodelling of anisotropic bone tissueAntonıo DiCarlo, Salah Naı̈li, Sara Quiligotti — 2005
• Derivation, simulation and validation of poroelastic models in dental biomechanicsM. Favino — 2014
• A poroplastic model of structural reorganisation in porous media of biomechanical interestAlfio Grillo, Raphael Prohl, Gabriel Wittum — 2016
• Elastic director vibrations in nematic liquid crystalsStefano Turzi — 2014
• Mini-Workshop: The mathematics of growth and remodelling of soft biological tissuesD. Ambrosi, Krishna Garikipati, Ellen Kuhl — 2008
• Mechanical modeling of growth considering domain variation―Part II: Volumetric and surface growth involving Eshelby tensorsJean‐François Ganghoffer — 2010
• The elastic metric: A review of elasticity with large distortionsPaola Nardinocchi, Luciano Teresi, Valerio Varano — 2013
• The role of stress in the growth of a multicell spheroidD. Ambrosi, Francesco Mollica — 2004
• On the theory of material inhomogeneitiesGiovanni Romano, Marina Diaco, Raffaele Barretta — 2006
• On the mechanics of thin films and growing surfacesMaria A. Holland, Tim Kosmata, Alain Goriely — 2013
• The insight of mixtures theory for growth and remodelingD. Ambrosi, Luigi Preziosi, G. Vitale — 2010
• Active Stress vs. Active Strain in Mechanobiology: Constitutive IssuesD. Ambrosi, Simone Pezzuto — 2012
• The Kinematics of Biological GrowthKrishna Garikipati — 2009
• Finite Stretching and Shearing of an Internally Balanced Elastic SolidHasan Demirkoparan, Thomas J. Pence — 2015

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