On the Geometric Description of Nonlinear Elasticity via an Energy Approach Using Barycentric Coordinates

On the Geometric Description of Nonlinear Elasticity via an Energy Approach Using Barycentric Coordinates

The deformation of a solid due to changing boundary conditions is described by a deformation gradient in Euclidean space. If the deformation process is reversible (conservative), the work done by the changing boundary conditions is stored as potential (elastic) energy, a function of the deformation...

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Bibliographic Details
Main Authors: Odysseas Kosmas, Pieter Boom, Andrey P. Jivkov
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
nonlinear elasticity
general barycentric coordinates
energy minimisation
Lagrange multipliers
null-space method
Online Access:https://www.mdpi.com/2227-7390/9/14/1689

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https://www.mdpi.com/2227-7390/9/14/1689

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