| Title:
|
Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities (English) |
| Author:
|
Baniotopoulos, Charalambos C. |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Morávková, Zuzana |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
1-25 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
approximation of hemivariational inequalities |
| Keyword:
|
delamination |
| Keyword:
|
nonmonotone friction |
| MSC:
|
35J85 |
| MSC:
|
49J40 |
| MSC:
|
65K10 |
| MSC:
|
74G15 |
| MSC:
|
74G65 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| MSC:
|
74R99 |
| idZBL:
|
Zbl 1099.74021 |
| idMR:
|
MR2117693 |
| DOI:
|
10.1007/s10492-005-0001-7 |
| . |
| Date available:
|
2009-09-22T18:20:13Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134587 |
| . |
| Reference:
|
[1] K. C. Chang: Variational methods for non-differentiable functionals and their applications for partial differential equations.J. Math. Anal. Appl. 80 (1981), 102–129. MR 0614246, 10.1016/0022-247X(81)90095-0 |
| Reference:
|
[2] R. Glowinski, J.-L. Lions, R. Trémolières: Numerical Analysis of Variational Inequalities. Studies in Mathematics and its Applications, Vol. 8.North Holland, Amsterdam, New York, 1981. MR 0635927 |
| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[8] E. Moyson, D. van Gemert: Experimentelle Prüfungen der Laminat-Theorie für Faservestärkte Verbundwerkstoffe.Proceedings Verbundwerkstoffe, Phasenverbindung und Mechanische Eigenschaften, Vol. I, G. Ondracek (ed.), Deutsche Gesellschaft für Metallkunde, Karlsruhe, 1985, pp. 99–115. |
| Reference:
|
[9] P. D. Panagiotopolous: Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions.Birkhäuser-Verlag, Basel-Boston-Stuttgart, 1985. MR 0896909 |
| Reference:
|
[10] P. D. Panagiotopoulos: Hemivariational Inequalities. Applications in Mechanics and Engineering.Springer-Verlag, Berlin, 1993. Zbl 0826.73002 |
| Reference:
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[11] I. Roman, H. Harlet, and G. Marom: 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. |
| Reference:
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[12] M. M. Schwartz: Composite Materials Handbook.McGraw Hill, New York, 1984. |
| Reference:
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[13] N. S. Shidharan: 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. |
| Reference:
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[14] J. G. Williams, M. D. Rhodes: Effect of resin on impact damage tolerance of graphite/epoxy laminates.Proceedings of the 6th International Conference on Composite Materials, Testing and Design ASTM STP, Vol. 787, Philadelphia, 1982, pp. 450–480. |
| . |
