Integrity basis of polyconvex invariants for modeling hyperelastic orthotropic materials — Application to the mechanical response of passive ventricular myocardium

Autor: François Peyraut, Frédéric Holweck, Zhi-Qiang Feng, Renye Cai

Publikováno v: International Journal of Non-Linear Mechanics
International Journal of Non-Linear Mechanics, 2021, 133, pp.103713. ⟨10.1016/j.ijnonlinmec.2021.103713⟩
International Journal of Non-Linear Mechanics, Elsevier, 2021, 133, pp.103713. ⟨10.1016/j.ijnonlinmec.2021.103713⟩

International audience; The present paper proposes a new Strain Energy Function (SEF) for modeling​ incompressible orthotropic hyperelastic materials with a specific application to the mechanical response of passive ventricular myocardium. In order

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8aeae181d65b9499b547563c361b460b
https://hal.science/hal-03204826/file/Cai2021.pdf

Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory

Autor: Francesco dell’Isola, Angela Madeo, Philippe Boisse, Manuel Ferretti

Publikováno v: Zeitschrift für Angewandte Mathematik und Physik
Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2013, pp.1-26. ⟨10.1007/s00033-013-0347-8⟩

It has been known since the pioneering works by Piola, Cosserat, Mindlin, Toupin, Eringen, Green, Rivlin and Germain that many micro-structural effects in mechanical systems can be still modeled by means of continuum theories. When needed, the displa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::075247c375b504d732fb337e1c42d534
http://hdl.handle.net/11697/128977