# Shape optimization in contact problems based on penalization of the state inequality

Jaroslav Haslinger; Pekka Neittaanmäki; Timo Tiihonen

Aplikace matematiky (1986)

- Volume: 31, Issue: 1, page 54-77
- ISSN: 0862-7940

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topHaslinger, Jaroslav, Neittaanmäki, Pekka, and Tiihonen, Timo. "Shape optimization in contact problems based on penalization of the state inequality." Aplikace matematiky 31.1 (1986): 54-77. <http://eudml.org/doc/15435>.

@article{Haslinger1986,

abstract = {The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established.},

author = {Haslinger, Jaroslav, Neittaanmäki, Pekka, Tiihonen, Timo},

journal = {Aplikace matematiky},

keywords = {frictionless plane contact; linear-elastic sheet; rigid foundation; shape optimization; contact boundary curve; minimization of the total potential energy; family of penalized state problems; existence; convergence; nonlinear programming problem; box constraints; linear inequality constraints; linear equality constraint; frictionless plane contact; linear-elastic sheet; rigid foundation; shape optimization; contact boundary curve; minimization of the total potential energy; family of penalized state problems; existence; convergence; nonlinear programming problem; box constraints; linear inequality constraints; linear equality constraint},

language = {eng},

number = {1},

pages = {54-77},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Shape optimization in contact problems based on penalization of the state inequality},

url = {http://eudml.org/doc/15435},

volume = {31},

year = {1986},

}

TY - JOUR

AU - Haslinger, Jaroslav

AU - Neittaanmäki, Pekka

AU - Tiihonen, Timo

TI - Shape optimization in contact problems based on penalization of the state inequality

JO - Aplikace matematiky

PY - 1986

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 31

IS - 1

SP - 54

EP - 77

AB - The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established.

LA - eng

KW - frictionless plane contact; linear-elastic sheet; rigid foundation; shape optimization; contact boundary curve; minimization of the total potential energy; family of penalized state problems; existence; convergence; nonlinear programming problem; box constraints; linear inequality constraints; linear equality constraint; frictionless plane contact; linear-elastic sheet; rigid foundation; shape optimization; contact boundary curve; minimization of the total potential energy; family of penalized state problems; existence; convergence; nonlinear programming problem; box constraints; linear inequality constraints; linear equality constraint

UR - http://eudml.org/doc/15435

ER -

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