Dynamical model of viscoplasticity

Kisiel, Konrad

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 29-36

Abstract

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This paper discusses the existence theory to dynamical model of viscoplasticity and show possibility to obtain existence of solution without assuming weak safe-load condition.

How to cite

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Kisiel, Konrad. "Dynamical model of viscoplasticity." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 29-36. <http://eudml.org/doc/294885>.

@inProceedings{Kisiel2017,
abstract = {This paper discusses the existence theory to dynamical model of viscoplasticity and show possibility to obtain existence of solution without assuming weak safe-load condition.},
author = {Kisiel, Konrad},
booktitle = {Proceedings of Equadiff 14},
keywords = {Viscoplasticity, coercive approximation, Yosida approximation, safe-load condition, mixed boundary condition},
location = {Bratislava},
pages = {29-36},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Dynamical model of viscoplasticity},
url = {http://eudml.org/doc/294885},
year = {2017},
}

TY - CLSWK
AU - Kisiel, Konrad
TI - Dynamical model of viscoplasticity
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 29
EP - 36
AB - This paper discusses the existence theory to dynamical model of viscoplasticity and show possibility to obtain existence of solution without assuming weak safe-load condition.
KW - Viscoplasticity, coercive approximation, Yosida approximation, safe-load condition, mixed boundary condition
UR - http://eudml.org/doc/294885
ER -

References

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  1. Alber, H.-D., Materials with memory, , Lecture Notes in Mathematics, vol. 1682, Springer Verlag, Berlin, 1998. MR1619546
  2. Aubin, J.-P., Cellina, A., Differential inclusions, , volume 264 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer Verlag, Berlin, 1984. MR0755330
  3. Chelmiński, K., Coercive approximation of viscoplasticity and plasticity, , Asymptotic Anal., 26(2), pp. 105–133, 2001. MR1832581
  4. Kisiel, K., Dynamical poroplasticity model – Existence theory for gradient type nonlinearities with Lipschitz perturbations, , J. Math. Anal. Appl., 450(1), pp. 544–577, 2017. MR3606182
  5. Kisiel, K., Kosiba, K., Dynamical poroplasticity model with mixed boundary conditions – theory for LM-type nonlinearity, , J. Math. Anal. Appl., 443(1), pp. 187–229, 2016. MR3508486
  6. Owczarek, S., Existence of solution to a non-monotone dynamic model in poroplasticity withmixed boundary conditions, , Topol. Methods Nonlinear Anal., 43(2), pp. 297–322, 2014. MR3236971

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