Grillo, Alfio; Di Stefano, Salvatore Comparison between different viewpoints on bulk growth mechanics. (English) Zbl 07772354 Math. Mech. Complex Syst. 11, No. 2, 287-311 (2023). MSC: 65Z05 74B20 74F25 92B05 92F99 PDFBibTeX XMLCite \textit{A. Grillo} and \textit{S. Di Stefano}, Math. Mech. Complex Syst. 11, No. 2, 287--311 (2023; Zbl 07772354) Full Text: DOI
Grillo, Alfio; Di Stefano, Salvatore An a posteriori approach to the mechanics of volumetric growth. (English) Zbl 07772348 Math. Mech. Complex Syst. 11, No. 1, 57-86 (2023). MSC: 74L15 74A99 92C10 PDFBibTeX XMLCite \textit{A. Grillo} and \textit{S. Di Stefano}, Math. Mech. Complex Syst. 11, No. 1, 57--86 (2023; Zbl 07772348) Full Text: DOI
Knodel, Markus M.; Di Stefano, Salvatore; Nägel, Arne; Grillo, Alfio An efficient algorithm for biomechanical problems based on a fully implicit nested Newton solver. (English) Zbl 07807016 Theor. Appl. Mech. (Belgrade) 49, No. 2, 183-221 (2022). MSC: 65M22 65M50 74-10 74C15 74S05 PDFBibTeX XMLCite \textit{M. M. Knodel} et al., Theor. Appl. Mech. (Belgrade) 49, No. 2, 183--221 (2022; Zbl 07807016) Full Text: DOI
Huang, Ruoyu; Ogden, Raymond W.; Penta, Raimondo Mathematical modelling of residual-stress based volumetric growth in soft matter. (English) Zbl 1485.74011 J. Elasticity 145, No. 1-2, 223-241 (2021). Reviewer: Alexandre Danescu (Lyon) MSC: 74B20 74L15 74A15 74K25 PDFBibTeX XMLCite \textit{R. Huang} et al., J. Elasticity 145, No. 1--2, 223--241 (2021; Zbl 1485.74011) Full Text: DOI
Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain The role of topology and mechanics in uniaxially growing cell networks. (English) Zbl 1472.92111 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190523, 16 p. (2020). MSC: 92C42 92C37 PDFBibTeX XMLCite \textit{A. Erlich} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190523, 16 p. (2020; Zbl 1472.92111) Full Text: DOI arXiv Link
Dunlop, J. W. C.; Zickler, G. A.; Weinkamer, R.; Fischer, F. D.; Fratzl, P. The emergence of complexity from a simple model for tissue growth. (English) Zbl 1447.74033 J. Stat. Phys. 180, No. 1-6, 459-473 (2020). MSC: 74L15 74F25 92C10 PDFBibTeX XMLCite \textit{J. W. C. Dunlop} et al., J. Stat. Phys. 180, No. 1--6, 459--473 (2020; Zbl 1447.74033) Full Text: DOI
Di Stefano, Salvatore; Carfagna, Melania; Knodel, Markus M.; Hashlamoun, Kotaybah; Federico, Salvatore; Grillo, Alfio Anelastic reorganisation of fibre-reinforced biological tissues. (English) Zbl 07704884 Comput. Vis. Sci. 20, No. 3-6, 95-109 (2019). MSC: 65Nxx PDFBibTeX XMLCite \textit{S. Di Stefano} et al., Comput. Vis. Sci. 20, No. 3--6, 95--109 (2019; Zbl 07704884) Full Text: DOI
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain Are homeostatic states stable? Dynamical stability in morphoelasticity. (English) Zbl 1422.92013 Bull. Math. Biol. 81, No. 8, 3219-3244 (2019). MSC: 92C10 92C15 PDFBibTeX XMLCite \textit{A. Erlich} et al., Bull. Math. Biol. 81, No. 8, 3219--3244 (2019; Zbl 1422.92013) Full Text: DOI arXiv
Ganghoffer, J. F.; Plotnikov, P. I.; Sokolowski, J. Nonconvex model of material growth: mathematical theory. (English) Zbl 1432.74032 Arch. Ration. Mech. Anal. 230, No. 3, 839-910 (2018). MSC: 74B20 74L15 PDFBibTeX XMLCite \textit{J. F. Ganghoffer} et al., Arch. Ration. Mech. Anal. 230, No. 3, 839--910 (2018; Zbl 1432.74032) Full Text: DOI HAL
Ganghoffer, Jean-François; Goda, Ibrahim A combined accretion and surface growth model in the framework of irreversible thermodynamics. (English) Zbl 1423.82022 Int. J. Eng. Sci. 127, 53-79 (2018). MSC: 82C24 82C35 PDFBibTeX XMLCite \textit{J.-F. Ganghoffer} and \textit{I. Goda}, Int. J. Eng. Sci. 127, 53--79 (2018; Zbl 1423.82022) Full Text: DOI
Ramírez-Torres, Ariel; Rodríguez-Ramos, Reinaldo; Merodio, José; Penta, Raimondo; Bravo-Castillero, Julián; Guinovart-Díaz, Raúl; Sabina, Federico J.; García-Reimbert, Catherine; Sevostianov, Igor; Conci, Aura The influence of anisotropic growth and geometry on the stress of solid tumors. (English) Zbl 1423.74626 Int. J. Eng. Sci. 119, 40-49 (2017). MSC: 74L15 92C10 92C50 PDFBibTeX XMLCite \textit{A. Ramírez-Torres} et al., Int. J. Eng. Sci. 119, 40--49 (2017; Zbl 1423.74626) Full Text: DOI Link
De Vita, R.; Grange, R.; Nardinocchi, P.; Teresi, L. Mathematical model for isometric and isotonic muscle contractions. (English) Zbl 1381.92005 J. Theor. Biol. 425, 1-10 (2017). MSC: 92C10 PDFBibTeX XMLCite \textit{R. De Vita} et al., J. Theor. Biol. 425, 1--10 (2017; Zbl 1381.92005) Full Text: DOI
Curatolo, M.; Gabriele, S.; Teresi, L. Swelling and growth: a constitutive framework for active solids. (English) Zbl 1394.74124 Meccanica 52, No. 14, 3443-3456 (2017). MSC: 74L15 74A20 74D99 74F10 PDFBibTeX XMLCite \textit{M. Curatolo} et al., Meccanica 52, No. 14, 3443--3456 (2017; Zbl 1394.74124) Full Text: DOI
Ambrosi, D.; Beloussov, L. V.; Ciarletta, P. Mechanobiology and morphogenesis in living matter: a survey. (English) Zbl 1394.74123 Meccanica 52, No. 14, 3371-3387 (2017). MSC: 74L15 92C10 92C15 74-02 92-02 PDFBibTeX XMLCite \textit{D. Ambrosi} et al., Meccanica 52, No. 14, 3371--3387 (2017; Zbl 1394.74123) Full Text: DOI
Ambrosi, D.; Pezzuto, S.; Riccobelli, D.; Stylianopoulos, T.; Ciarletta, P. Solid tumors are poroelastic solids with a chemo-mechanical feedback on growth. (English) Zbl 1373.74033 J. Elasticity 129, No. 1-2, 107-124 (2017). MSC: 74F10 74L15 PDFBibTeX XMLCite \textit{D. Ambrosi} et al., J. Elasticity 129, No. 1--2, 107--124 (2017; Zbl 1373.74033) Full Text: DOI Link
Tomassetti, Giuseppe; Cohen, Tal; Abeyaratne, Rohan Steady accretion of an elastic body on a hard spherical surface and the notion of a four-dimensional reference space. (English) Zbl 1482.74127 J. Mech. Phys. Solids 96, 333-352 (2016). MSC: 74M15 PDFBibTeX XMLCite \textit{G. Tomassetti} et al., J. Mech. Phys. Solids 96, 333--352 (2016; Zbl 1482.74127) Full Text: DOI arXiv
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash A geometric theory of nonlinear morphoelastic shells. (English) Zbl 1388.74071 J. Nonlinear Sci. 26, No. 4, 929-978 (2016). MSC: 74K25 53Z05 74B20 PDFBibTeX XMLCite \textit{S. Sadik} et al., J. Nonlinear Sci. 26, No. 4, 929--978 (2016; Zbl 1388.74071) Full Text: DOI Link
Ramírez-Torres, A.; Rodríguez-Ramos, Reinaldo; Merodio, Jose; Bravo-Castillero, J.; Guinovart-Díaz, R.; Alfonso, Juan Carlos L. Action of body forces in tumor growth. (English) Zbl 1423.74627 Int. J. Eng. Sci. 89, 18-34 (2015). MSC: 74L15 92C50 74F10 PDFBibTeX XMLCite \textit{A. Ramírez-Torres} et al., Int. J. Eng. Sci. 89, 18--34 (2015; Zbl 1423.74627) Full Text: DOI
De Tommasi, D.; Puglisi, G.; Saccomandi, G. Multiscale mechanics of macromolecular materials with unfolding domains. (English) Zbl 1349.74285 J. Mech. Phys. Solids 78, 154-172 (2015). MSC: 74M25 74L15 92D20 PDFBibTeX XMLCite \textit{D. De Tommasi} et al., J. Mech. Phys. Solids 78, 154--172 (2015; Zbl 1349.74285) Full Text: DOI arXiv
Ganghoffer, Jean-Francois; Sokolowski, Jan A micromechanical approach to volumetric and surface growth in the framework of shape optimization. (English) Zbl 1423.74614 Int. J. Eng. Sci. 74, 207-226 (2014). MSC: 74L15 74P10 92C10 PDFBibTeX XMLCite \textit{J.-F. Ganghoffer} and \textit{J. Sokolowski}, Int. J. Eng. Sci. 74, 207--226 (2014; Zbl 1423.74614) Full Text: DOI
Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen On the mechanics of thin films and growing surfaces. (English) Zbl 1528.74073 Math. Mech. Solids 18, No. 6, 561-575 (2013). MSC: 74K35 74L15 92C80 PDFBibTeX XMLCite \textit{M. A. Holland} et al., Math. Mech. Solids 18, No. 6, 561--575 (2013; Zbl 1528.74073) Full Text: DOI Link
Vetter, Roman; Stoop, Norbert; Jenni, Thomas; Wittel, Falk K.; Herrmann, Hans J. Subdivision shell elements with anisotropic growth. (English) Zbl 1352.74179 Int. J. Numer. Methods Eng. 95, No. 9, 791-810 (2013). MSC: 74K25 74S05 65N30 74A05 PDFBibTeX XMLCite \textit{R. Vetter} et al., Int. J. Numer. Methods Eng. 95, No. 9, 791--810 (2013; Zbl 1352.74179) Full Text: DOI arXiv Link
Ciarletta, Pasquale; Ambrosi, Davide; Maugin, Gérard A. Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling. (English) Zbl 1244.74084 J. Mech. Phys. Solids 60, No. 3, 432-450 (2012). MSC: 74L15 74F05 74N25 92C10 PDFBibTeX XMLCite \textit{P. Ciarletta} et al., J. Mech. Phys. Solids 60, No. 3, 432--450 (2012; Zbl 1244.74084) Full Text: DOI Link
Buzea, C. Gh.; Agop, M.; Moraru, Evelina; Stana, Bogdan A.; Gîrţu, Manuela; Iancu, D. Some implications of scale relativity theory in avascular stages of growth of solid tumors in the presence of an immune system response. (English) Zbl 1397.92316 J. Theor. Biol. 282, 52-64 (2011). MSC: 92C50 35Q92 92C37 PDFBibTeX XMLCite \textit{C. Gh. Buzea} et al., J. Theor. Biol. 282, 52--64 (2011; Zbl 1397.92316) Full Text: DOI HAL
Dunlop, J. W. C.; Fischer, F. D.; Gamsjäger, E.; Fratzl, P. A theoretical model for tissue growth in confined geometries. (English) Zbl 1244.74086 J. Mech. Phys. Solids 58, No. 8, 1073-1087 (2010). MSC: 74L15 92C10 92C15 92C30 PDFBibTeX XMLCite \textit{J. W. C. Dunlop} et al., J. Mech. Phys. Solids 58, No. 8, 1073--1087 (2010; Zbl 1244.74086) Full Text: DOI
Ganghoffer, Jean-François On Eshelby tensors in the context of the thermodynamics of open systems: application to volumetric growth. (English) Zbl 1231.74011 Int. J. Eng. Sci. 48, No. 12, 2081-2098 (2010). MSC: 74A15 80A17 PDFBibTeX XMLCite \textit{J.-F. Ganghoffer}, Int. J. Eng. Sci. 48, No. 12, 2081--2098 (2010; Zbl 1231.74011) Full Text: DOI
Vignes, Chet; Papadopoulos, Panayiotis Material growth in thermoelastic continua: theory, algorithmics, and simulation. (English) Zbl 1227.74018 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 979-996 (2010). MSC: 74F05 74S05 PDFBibTeX XMLCite \textit{C. Vignes} and \textit{P. Papadopoulos}, Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 979--996 (2010; Zbl 1227.74018) Full Text: DOI Link
Ganghoffer, Jean-François Mechanical modeling of growth considering domain variation. II: Volumetric and surface growth involving Eshelby tensors. (English) Zbl 1429.74072 J. Mech. Phys. Solids 58, No. 9, 1434-1459 (2010). MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{J.-F. Ganghoffer}, J. Mech. Phys. Solids 58, No. 9, 1434--1459 (2010; Zbl 1429.74072) Full Text: DOI
Yavari, Arash A geometric theory of growth mechanics. (English) Zbl 1428.74157 J. Nonlinear Sci. 20, No. 6, 781-830 (2010). MSC: 74L15 53Z05 74A15 PDFBibTeX XMLCite \textit{A. Yavari}, J. Nonlinear Sci. 20, No. 6, 781--830 (2010; Zbl 1428.74157) Full Text: DOI arXiv
Ambrosi, D.; Preziosi, L.; Vitale, G. The insight of mixtures theory for growth and remodeling. (English) Zbl 1273.74063 Z. Angew. Math. Phys. 61, No. 1, 177-191 (2010). MSC: 74E30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Ambrosi} et al., Z. Angew. Math. Phys. 61, No. 1, 177--191 (2010; Zbl 1273.74063) Full Text: DOI
Vandiver, Rebecca; Goriely, Alain Morpho-elastodynamics: the long-time dynamics of elastic growth. (English) Zbl 1342.92035 J. Biol. Dyn. 3, No. 2-3, 180-195 (2009). MSC: 92C15 92C10 PDFBibTeX XMLCite \textit{R. Vandiver} and \textit{A. Goriely}, J. Biol. Dyn. 3, No. 2--3, 180--195 (2009; Zbl 1342.92035) Full Text: DOI
Preziosi, Luigi; Tosin, Andrea Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications. (English) Zbl 1311.92029 J. Math. Biol. 58, No. 4-5, 625-656 (2009). MSC: 92C10 92C50 PDFBibTeX XMLCite \textit{L. Preziosi} and \textit{A. Tosin}, J. Math. Biol. 58, No. 4--5, 625--656 (2009; Zbl 1311.92029) Full Text: DOI
Grillo, Alfio; Wittum, Gabriel; Giaquinta, Gaetano; Mićunović, Milan V. A multiscale analysis of growth and diffusion dynamics in biological materials. (English) Zbl 1213.74226 Int. J. Eng. Sci. 47, No. 2, 261-283 (2009). MSC: 74L15 92C99 74A15 PDFBibTeX XMLCite \textit{A. Grillo} et al., Int. J. Eng. Sci. 47, No. 2, 261--283 (2009; Zbl 1213.74226) Full Text: DOI
Olsson, Tobias; Klarbring, Anders Residual stresses in soft tissue as a consequence of growth and remodeling: Application to an arterial geometry. (English) Zbl 1151.74387 Eur. J. Mech., A, Solids 27, No. 6, 959-974 (2008). MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{T. Olsson} and \textit{A. Klarbring}, Eur. J. Mech., A, Solids 27, No. 6, 959--974 (2008; Zbl 1151.74387) Full Text: DOI
Ambrosi, D.; Guillou, A. Growth and dissipation in biological tissues. (English) Zbl 1160.74386 Contin. Mech. Thermodyn. 19, No. 5, 245-251 (2007). MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{D. Ambrosi} and \textit{A. Guillou}, Contin. Mech. Thermodyn. 19, No. 5, 245--251 (2007; Zbl 1160.74386) Full Text: DOI