ReviewPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2019
An Eulerian formulation of inelasticity: from metal plasticity to growth of biological tissues.
Review in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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1 citing paper in PubMed, 17 citations in OpenAlex.
- Rivlin's legacy in continuum mechanics and applied mathematics.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
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Abstract
The purpose of this paper is to review and contrast the Lagrangian and Eulerian formulations of inelasticity as they apply to metal plasticity and growth of biological tissues. In contrast with the Lagrangian formulation of inelasticity, the Eulerian formulation is unaffected by arbitrary choices of the reference configuration, an intermediate configuration, a total deformation measure and an inelastic deformation measure. Although the Eulerian formulation for growth of biological tissues includes a rate of mass supply and can be used to understand the mechanics of growth, it does not yet model essential mechanobiological processes that control growth. Much research is needed before this theory can help design medical treatments for growth related disease. This article is part of the theme issue 'Rivlin's legacy in continuum mechanics and applied mathematics'.
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