Gradient polyconvex material models and their numerical treatment

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00523776" target="_blank" >RIV/67985556:_____/20:00523776 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/20:00344063
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020768320300949" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020768320300949</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijsolstr.2020.03.006" target="_blank" >10.1016/j.ijsolstr.2020.03.006</a>

Result language
angličtina
Original language name
Gradient polyconvex material models and their numerical treatment
Original language description
Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain is required. This allows for a larger class of admissible deformations than in the case of second-grade materials.nWe describe a possible implementation of gradient polyconvex elastic energies in nonlinear finite strain elastostatics. Besides, a new geometric interpretation of gradient-polyconvexity is given and it is compared with standard second-grade materials. Finally, we demonstrate application of the proposed approach using two different models, namely, a St.-Venant Kirchhoff material and a double well stored energy density.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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