On the mechanics of solids with a growing mass

By V. Lubarda, A. Hoger. 2002

341 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Cell Biology, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5af86e9b74c8fa0e0dd4637eb8eb4de82b8a2e26

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In Biomedical Engineering

In Cell Biology

In Mechanics of Materials

Citations in the corpus

Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network (2004, background): “The former are typically based on the introduction of a ficticious growth configuration and the characterization of its evolution with respect to the undeformed configuration, see e.g. Rodriguez et al. [39], Lubarda & Hoger [33], Epstein & Maugin [13] and Garikipati et al. [20].”
Growth and instability in elastic tissues (2005, background): “This early seminal work on growth has since been amply discussed (Drozdov and Khanina, 1997; Cowin, 2004; Humphrey, 2003) and put on a more rigorous foundation (Epstein and Maugin, 2000; DiCarlo and Quiligotti, 2002; Lubarda and Hoger, 2002).”
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations (2006, background): “An alternative is to adopt an incompatible ‘virtual’ stress-free configuration; see, for example, Lubarda & Hoger (2002) and references therein, and the recent contribution by Stålhand (2005).”
A history of the study of solid tumour growth: The contribution of mathematical modelling (2004, background): “Lubarda and Hoger(2002) recently published a general constitutive theory of stress-modulated growth of soft tissues, albeit with an emphasis on pseudo-elastic tissues capable of large deformations, such as blood vessels and muscles.”
Computational Modelling of Isotropic Multiplicative Growth (2005, methodology): “In the last decades this model which is embedded into the thermodynamics of open systems has been elaborated further by, for instance, Harrigan and Hamilton (1992, 1993), Epstein and Maugin (2000), Kuhl, Menzel, and Steinmann (2003), Kuhl and Steinmann (2003a, 2004), Himpel (2003) and Menzel (2004, ”
Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. (2008, methodology): “These include elastic, poroelastic and viscoelastic models, e.g., Jones et al. (2000), Ambrosi and Mollica (2002), Lubarda and Hoger (2002), Araujo and McElwain (2004), Ben-Amar and Gorielly (2005), Fung (1990), Humphrey (2003), Roose et al. (2003), and McArthur and Please (2004).”