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math.AP2023
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxati…
math.AP2023
Eringen's model via linearization of nonlocal hyperelasticity
J. C. Bellido, J. Cueto, C. Mora-Corral
We consider Riesz' fractional gradient and a truncated version of it. The equations of nonlocal nonlinear elasticity based on those gradients are known. We perform a formal lineari…