Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00519027" target="_blank" >RIV/67985556:_____/20:00519027 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/20:10408711
Result on the web
<a href="https://link.springer.com/article/10.1007/s10957-019-01489-9" target="_blank" >https://link.springer.com/article/10.1007/s10957-019-01489-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10957-019-01489-9" target="_blank" >10.1007/s10957-019-01489-9</a>

Result language
angličtina
Original language name
Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys
Original language description
We show the existence of an energetic solution to a model of shape-memory alloys in which the elastic energy is described by means of a gradient polyconvex functional. This allows us to show the existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Admissible deformations do not necessarily have integrable second derivatives. Under suitable assumptions, our model allows for solutions which are orientation preserving and globally injective everywhere in the domain representing the specimen.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure 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

Similar results(10)