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pro vyhledávání: '"Pelech, Petr"'
Within the framework of natural configurations developed by Rajagopal and Srinivasa, evolution within continuum thermodynamics is formulated as evolution of a natural configuration linked with the current configuration. On the other hand, withing the
Externí odkaz:
http://arxiv.org/abs/2010.06903
In this paper, we introduce the notion of separately global solutions for large-strain rate-independent systems, and we provide an existence result for a model describing bulk damage. Our analysis covers non-convex energies blowing up for extreme com
Externí odkaz:
http://arxiv.org/abs/2008.02244
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 continuity of nonlinear m
Externí odkaz:
http://arxiv.org/abs/1807.09855
Autor:
Pelech, Petr
We re-examine the notion of stress in peridynamics. Based on the idea of traction we define two new peridynamic stress tensors $\mathbf{P}^{\mathbf{y}}$ and $\mathbf{P}$ which stand, respectively, for analogues of the Cauchy and 1st Piola-Kirchhoff s
Externí odkaz:
http://arxiv.org/abs/1711.08445
Akademický článek
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Publikováno v:
Advances in Mechanics and Mathematics ISBN: 9783030900502
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 continuity of nonlinear m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1111f7722e920aabf86f844d3f7ce10a
https://doi.org/10.1007/978-3-030-90051-9_5
https://doi.org/10.1007/978-3-030-90051-9_5
Autor:
Pelech, Petr
The thesis is devoted to study of continuum mechanics and thermodynamics and the related mathematical analysis. It consists of four self-contained chapters dealing with different aspects. The first chapter focuses on peridynamics, a non-local theory
Externí odkaz:
http://www.nusl.cz/ntk/nusl-437540