Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities

Charalambos C. Baniotopoulos; Jaroslav Haslinger; Zuzana Morávková

Applications of Mathematics (2005)

  • Volume: 50, Issue: 1, page 1-25
  • ISSN: 0862-7940

Abstract

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The paper deals with approximations and the numerical realization of a class of hemivariational inequalities used for modeling of delamination and nonmonotone friction problems. Assumptions guaranteeing convergence of discrete models are verified and numerical results of several model examples computed by a nonsmooth variant of Newton method are presented.

How to cite

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Baniotopoulos, Charalambos C., Haslinger, Jaroslav, and Morávková, Zuzana. "Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities." Applications of Mathematics 50.1 (2005): 1-25. <http://eudml.org/doc/33202>.

@article{Baniotopoulos2005,
abstract = {The paper deals with approximations and the numerical realization of a class of hemivariational inequalities used for modeling of delamination and nonmonotone friction problems. Assumptions guaranteeing convergence of discrete models are verified and numerical results of several model examples computed by a nonsmooth variant of Newton method are presented.},
author = {Baniotopoulos, Charalambos C., Haslinger, Jaroslav, Morávková, Zuzana},
journal = {Applications of Mathematics},
keywords = {approximation of hemivariational inequalities; delamination; nonmonotone friction; approximation of hemivariational inequalities; delamination; nonmonotone friction; convergence; Newton method},
language = {eng},
number = {1},
pages = {1-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities},
url = {http://eudml.org/doc/33202},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Baniotopoulos, Charalambos C.
AU - Haslinger, Jaroslav
AU - Morávková, Zuzana
TI - Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 1
EP - 25
AB - The paper deals with approximations and the numerical realization of a class of hemivariational inequalities used for modeling of delamination and nonmonotone friction problems. Assumptions guaranteeing convergence of discrete models are verified and numerical results of several model examples computed by a nonsmooth variant of Newton method are presented.
LA - eng
KW - approximation of hemivariational inequalities; delamination; nonmonotone friction; approximation of hemivariational inequalities; delamination; nonmonotone friction; convergence; Newton method
UR - http://eudml.org/doc/33202
ER -

References

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  9. Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions, Birkhäuser-Verlag, Basel-Boston-Stuttgart, 1985. (1985) MR0896909
  10. Hemivariational Inequalities. Applications in Mechanics and Engineering, Springer-Verlag, Berlin, 1993. (1993) Zbl0826.73002
  11. Stress intensity factor measurements in composite sandwich structures, In: Proceedings of the 1st International Conference on Composite Structures, I. H.  Marshal (ed.), Applied Science Publishers, London, 1981, pp. 633–645. (1981) 
  12. Composite Materials Handbook, McGraw Hill, New York, 1984. (1984) 
  13. Elastic and strength properties of continuous chopped glass fiber hybrid sheet molding compounds, Short Fiber Reinforced Composite Materials ASTM STP, Vol. 787, Philadelphia, 1982, pp. 167–179. (1982) 
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