Thermomechanics of volumetric growth in uniform bodies

By M. Epstein, G. Maugin. 2000

399 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/aa335c8eb67dd5216b841bf6530e0d0dfc60230d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. S. Forest
2. Andreas Menzel
3. M. B. Amar
4. Ellen Kuhl
5. R. Sievert
6. Alain Goriely
7. E. Arruda
8. F. Guana

In Mechanics of Materials

1. S. Forest
2. Andreas Menzel
3. Paul Steinmann
4. Ellen Kuhl
5. R. Sievert
6. M. B. Amar
7. Alain Goriely
8. E. Arruda

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].”
• Stress-Modulated Growth (2007, methodology): “Among the few examples in the direction of exploiting energy inequalities as a tool to discriminate among possible constitutive laws, it is to be mentioned the constitutive theory for volumetric growth of bodies developed by Epstein and Maugin [5], and then the paper by Garikipati et al.”
• Growth and instability in elastic tissues (2005, background): “Epstein and Maugin (2000) argue on mechanical grounds that the natural way to introduce this effect (and other anisotropic effects) is to relate the growth rate to the Mandel stress in the intermediate configuration obtained after application of the growth tensor (see Imatani and Maugin, 2002 for…”
• Nonlinear microstrain theories (2006, background): “Problems of growth and remodeling can be addressed by microdilatation related theories as done in Epstein and Maugin (2000) and Steeb and Diebels (2003).”
• Computational Modelling of Isotropic Multiplicative Growth (2005, background): “The balance equations are also discussed in more detail for instance in Epstein and Maugin (2000), Kuhl and Steinmann (2003b) and Himpel (2003).”