Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics

By V. Lubarda. 2004

300 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f634e8354066950dd84fe337ba5af396dd6113bc

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A Fractional Model of Continuum Mechanics (2012, background): “It is important to mention here that even if the reference configuration is usually chosen to be an undeformed one, it is not essential it be that way [7] (this allows, for example, the modelling of growth processes in materials with residual stresses; for more on this topic see the review article o”
A theory for species migration in a finitely strained solid with application to polymer network swelling (2010, background): “It is also interesting to note that (10) resembles the isothermal version of the extension of the Truesdell work inequality presented by Man (1989).”
Computational Modelling of Isotropic Multiplicative Growth (2005, methodology): “A comparison of constitutive theories based on a multiplicative split of the deformation gradient is given in Lubarda (2004).”
A coupled theory of fluid permeation and large deformations for elastomeric materials (2010, background): “Also see Lubarda (2004), who discusses the history and use of such a multiplicative decomposition of the deformation gradient in a variety of situations, including isotropic thermoelasticity, and isotropic growth in bio-mechanics.”
Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit (2009, background): “Some subtle aspects of this formulation can be found in Lubarda (2004) but we shall point out that this theory of finite elastic growth treats the main features of the growth process: large changes of volume, anisotropy of growth, emergence of residual stresses and even time-dependent processes.”