Filtry
Gradient polyconvex material models and their numerical treatment
Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain of second-grade materials.nWe describe a possible implementation of ...
Applied mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A note on locking materials and gradient polyconvexity
the related energy functional gradient polyconvex. Thus, instead of considering second is not included in our model, gradient polyconvex functionals allow for an implicit uniformWe use gradient Young meas...
Pure mathematics
- 2018 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys
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...
Pure mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys
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...
Applied mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Elastoplasticity of gradient-polyconvex materials
We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient
Applied mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Crack Occurrence in Bodies with Gradient Polyconvex Energies
orientation. The energy considered is gradient polyconvex: it accounts for relative...
Applied mathematics
- 2022 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Gradient Polyconvexity and Modeling of Shape Memory Alloys
We show 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 existence of a solution based on weak continu...
Pure mathematics
- 2021 •
- C •
- Odkaz
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
Isotropic polyconvex electromagnetoelastic bodies
of the form ..., where F is the deformation gradient, d is the electric displacement that such an energy function is polyconvex if and only if it is of the form ... where for the equilibrium solution for a system consisting of a
Applied mathematics
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A sharp interface evolutionary model for shape memory alloys
is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced in [49]. The model considers internal and a deformation mapping with its first-order
BA - Obecná matematika
- 2016 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Zeros of the polyconvex hull of powers of the distance and s-polyconvexity
This note determines the set of zeros of the polyconvex hull of the distance from a compact set of matrices. It is shown that the set is constant on the intervals with integral endpoints....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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