Unilateral contact applications using FEM software

M. Stavroulaki; G. Stavroulakis

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 1, page 115-125
  • ISSN: 1641-876X

Abstract

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Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.

How to cite

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Stavroulaki, M., and Stavroulakis, G.. "Unilateral contact applications using FEM software." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 115-125. <http://eudml.org/doc/207563>.

@article{Stavroulaki2002,
abstract = {Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.},
author = {Stavroulaki, M., Stavroulakis, G.},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonsmooth analysis; constrained optimization; contact problems; general purpose FEM program MARC; inequality constrained optimization; variational inequalities; unilateral contact; rubber-coated roller contact problem; masonry wall},
language = {eng},
number = {1},
pages = {115-125},
title = {Unilateral contact applications using FEM software},
url = {http://eudml.org/doc/207563},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Stavroulaki, M.
AU - Stavroulakis, G.
TI - Unilateral contact applications using FEM software
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 1
SP - 115
EP - 125
AB - Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.
LA - eng
KW - nonsmooth analysis; constrained optimization; contact problems; general purpose FEM program MARC; inequality constrained optimization; variational inequalities; unilateral contact; rubber-coated roller contact problem; masonry wall
UR - http://eudml.org/doc/207563
ER -

References

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