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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Shape optimization for dynamic contact problems

100%
Myśliński A.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2000
|
tom 20
|
nr 1
79-91
EN
The paper deals with shape optimization of dynamic contact problem with Coulomb friction for viscoelastic bodies. The mass nonpenetrability condition is formulated in velocities. The friction coefficient is assumed to be bounded. Using material derivative method as well as the results concerning the regularity of solution to dynamic variational inequality the directional derivative of the cost functional is calculated and the necessary optimality condition is formulated.
2
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Content available

Topology optimization of systems governed by variational inequalities

100%
Myśliński A.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2010
|
tom 30
|
nr 2
237-252
EN
This paper deals with the formulation of the necessary optimality condition for a topology optimization problem of an elastic body in unilateral contact with a rigid foundation. In the contact problem of Tresca, a given friction is governed by an elliptic variational inequality of the second order. The optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the contact boundary of the body is minimized. The topological derivative of the cost functional is calculated and a necessary optimality condition is formulated. The calculated topological derivative is also used in the numerical algorithm to find a descent direction by inserting voids in the domain occupied by the body. Numerical examples are provided.
3
Content available remote

Topology optimization of quasistatic contact problems

100%
Myśliński A.
International Journal of Applied Mathematics and Computer Science
|
2012
|
tom 22
|
nr 2
269-280
EN
This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimization problem considered is to find the optimal material distribution inside a design domain occupied by the body in unilateral contact with the rigid foundation to obtain the optimally shaped domain for which the normal contact stress along the contact boundary is minimized. The volume of the body is assumed to be bounded. Using the material derivative and asymptotic expansion methods as well as the results concerning the differentiability of solutions to quasistatic variational inequalities, the topological derivative of the shape functional is calculated and a necessary optimality condition is formulated.
4
Content available remote

Book review: "Linear Partial Differential Equations for Scientists and Engineers" by Tyn Myint-U, Lokenath Debnath

63%
Myśliński A.
Control and Cybernetics
|
2007
|
tom 36
|
nr 4
1049-1050
5
Content available remote

Book review: "Numerical Solutions of Partial Differential Equations" by S. Bertoluzza, S. Falletta, G. Ruso and Chi-Wang Shu

63%
Myśliński A.
Control and Cybernetics
|
2010
|
tom 39
|
nr 3
885-887
6
Content available remote

Book review: "Global Pseudo-Differential Calculus on Euclidean Spaces" by F. Nicola and L. Rodino

50%
Myśliński A.
Control and Cybernetics
|
2010
|
tom 39
|
nr 4
1219-1221
7
Content available remote

Book review: "Statistics and Analysis of Shape" by H. Krim, A. Yezzi, Jr., eds.

44%
Myśliński A.
Control and Cybernetics
|
2007
|
tom 36
|
nr 2
473-477
8
Content available remote

Book review: "Variational Methods in Shape Optimization Problems"

38%
Myśliński A.
Control and Cybernetics
|
2006
|
tom 35
|
nr 2
501-503
9
Content available remote

Radial basis function level set method for structural optimization

38%
Myśliński A.
Control and Cybernetics
|
2010
|
tom 39
|
nr 3
627-645
10
Content available remote

Book review: "A Handbook of Real Variables" by S.G. Krantz

38%
Myśliński A.
Control and Cybernetics
|
2004
|
tom 33
|
nr 3
529
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