Numerical approach to a rate-independent model of decohesion in laminated composites

Zeman, Jan; Gruber, Pavel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 239-250

Abstract

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In this paper, we present a numerical approach to evolution of decohesion in laminated composites based on incremental variational problems. An energy-based framework is adopted, in which we characterize the system by the stored energy and dissipation functionals quantifying reversible and irreversible processes, respectively. The time-discrete evolution then follows from a solution of incremental minimization problems, which are converted to a fully discrete form by employing the conforming finite element method. Results of a benchmark problem suggest that the resulting model allows to describe both initiation and propagation of interfacial decohesion, with a low sensitivity to spatial discretization.

How to cite

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Zeman, Jan, and Gruber, Pavel. "Numerical approach to a rate-independent model of decohesion in laminated composites." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 239-250. <http://eudml.org/doc/271420>.

@inProceedings{Zeman2010,
abstract = {In this paper, we present a numerical approach to evolution of decohesion in laminated composites based on incremental variational problems. An energy-based framework is adopted, in which we characterize the system by the stored energy and dissipation functionals quantifying reversible and irreversible processes, respectively. The time-discrete evolution then follows from a solution of incremental minimization problems, which are converted to a fully discrete form by employing the conforming finite element method. Results of a benchmark problem suggest that the resulting model allows to describe both initiation and propagation of interfacial decohesion, with a low sensitivity to spatial discretization.},
author = {Zeman, Jan, Gruber, Pavel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {decohesion; laminated composites; alternating minimization algorithm},
location = {Prague},
pages = {239-250},
publisher = {Institute of Mathematics AS CR},
title = {Numerical approach to a rate-independent model of decohesion in laminated composites},
url = {http://eudml.org/doc/271420},
year = {2010},
}

TY - CLSWK
AU - Zeman, Jan
AU - Gruber, Pavel
TI - Numerical approach to a rate-independent model of decohesion in laminated composites
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 239
EP - 250
AB - In this paper, we present a numerical approach to evolution of decohesion in laminated composites based on incremental variational problems. An energy-based framework is adopted, in which we characterize the system by the stored energy and dissipation functionals quantifying reversible and irreversible processes, respectively. The time-discrete evolution then follows from a solution of incremental minimization problems, which are converted to a fully discrete form by employing the conforming finite element method. Results of a benchmark problem suggest that the resulting model allows to describe both initiation and propagation of interfacial decohesion, with a low sensitivity to spatial discretization.
KW - decohesion; laminated composites; alternating minimization algorithm
UR - http://eudml.org/doc/271420
ER -

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