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1

A mathematical model for impulse resistance welding

F. Duderstadt, D. Hömberg, A. M. Khludnev

Journal:

Mathematical Methods in the Applied Sciences

Year:

2003

Language:

english

File:

PDF, 282 KB

english, 2003

2

On elastic bodies with thin rigid inclusions and cracks

Alexander Khludnev, Günter Leugering

Journal:

Mathematical Methods in the Applied Sciences

Year:

2010

Language:

english

File:

PDF, 238 KB

english, 2010

3

On the topological derivative due to kink of a crack with non-penetration. Anti-plane model

A.M. Khludnev, V.A. Kovtunenko, A. Tani

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2010

Language:

english

File:

PDF, 246 KB

english, 2010

4

Stability of solutions to extremal problems of boundary control for stationary heat convection equations

G. V. Alekseev, A. M. Khludnev

Journal:

Journal of Applied and Industrial Mathematics

Year:

2011

Language:

english

File:

PDF, 557 KB

english, 2011

5

Optimal Control of Inclusion and Crack Shapes in Elastic Bodies

Khludnev, A., Leugering, G., Specovius-Neugebauer, M.

Journal:

Journal of Optimization Theory and Applications

Year:

2012

Language:

english

File:

PDF, 760 KB

english, 2012

6

A note on crack propagation paths inside elastic bodies

Khludnev, A.M., Shcherbakov, V.V.

Journal:

Applied Mathematics Letters

Year:

2018

Language:

english

File:

PDF, 627 KB

english, 2018

7

Regularization and existence of solutions of three-dimensional elastoplastic problems

Martin Brokate, Alexander M. Khludnev

Journal:

Mathematical Methods in the Applied Sciences

Year:

1998

Language:

english

File:

PDF, 242 KB

english, 1998

8

Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions

Michael Bach, Alexander M. Khludnev, Victor A. Kovtunenko

Journal:

Mathematical Methods in the Applied Sciences

Year:

2000

Language:

english

File:

PDF, 153 KB

english, 2000

9

On Cracks of Minimal Opening in Thermoelastic Plates

K.-H. Hoffmann, A.M. Khludnev

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2000

Language:

english

File:

PDF, 161 KB

english, 2000

10

Equilibrium problem for thermoelectroconductive body with the Signorini condition on the boundary

D. Hömberg, A. M. Khludnev

Journal:

Mathematical Methods in the Applied Sciences

Year:

2001

Language:

english

File:

PDF, 104 KB

english, 2001

11

On variational inequality for an operator of dynamics of elastic rod

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1982

Language:

english

File:

PDF, 273 KB

english, 1982

12

Problem on the contact of two elastic plates

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1983

Language:

english

File:

PDF, 518 KB

english, 1983

13

The problem of the contact between a linear elastic body and elastic and rigid bodies (a variational approach)

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1983

Language:

english

File:

PDF, 555 KB

english, 1983

14

The contact problem for a shallow shell with a crack

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1995

Language:

english

File:

PDF, 485 KB

english, 1995

15

Unilateral contact problem for two inclined elastic bodies

Alexander Khludnev, Atusi Tani

Journal:

European Journal of Mechanics - A/Solids

Year:

2008

Language:

english

File:

PDF, 179 KB

english, 2008

16

Optimal control of crack growth in elastic body with inclusions

Alexander Khludnev

Journal:

European Journal of Mechanics - A/Solids

Year:

2010

Language:

english

File:

PDF, 229 KB

english, 2010

17

Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions

A.M. Khludnev, A.A. Novotny, J. Sokołowski, A. Żochowski

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2009

Language:

english

File:

PDF, 308 KB

english, 2009

18

Nonsmooth domain optimization for elliptic equations with unilateral conditions

A. Khludnev, A. Leontiev, J. Herskovits

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2003

Language:

english

File:

PDF, 144 KB

english, 2003

19

The derivative of the energy functional along the crack length in problems of the theory of elasticity

J. Sokolowski, A.M. Khludnev

Journal:

Journal of Applied Mathematics and Mechanics

Year:

2000

Language:

english

File:

PDF, 502 KB

english, 2000

20

The contact between two plates, one of which contains a crack

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1997

Language:

english

File:

PDF, 734 KB

english, 1997

21

Griffith formulae for elasticity systems with unilateral conditions in domains with cracks

A.M. Khludnev, J. Sokolowski

Journal:

European Journal of Mechanics - A/Solids

Year:

2000

Language:

english

File:

PDF, 131 KB

english, 2000

22

On safe crack shapes in elastic bodies

D. Hömberg, A.M. Khludnev

Journal:

European Journal of Mechanics - A/Solids

Year:

2002

Language:

english

File:

PDF, 127 KB

english, 2002

23

Optimization in constrained crack problems

Victor A. Kovtunenko, Alexander M. Khludnev

Journal:

Year:

2007

Language:

english

File:

PDF, 57 KB

english, 2007

24

On crack problem with overlapping domain

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2008

Language:

english

File:

PDF, 204 KB

english, 2008

25

Optimal control of cracks in elastic bodies with thin rigid inclusions

A.M. Khludnev, G. Leugering

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2011

Language:

english

File:

PDF, 222 KB

english, 2011

26

Optimal control in one-dimensional elastic-plastic models

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1991

Language:

english

File:

PDF, 318 KB

english, 1991

27

Existence of solutions in dynamics problems of one-dimensional plastic structures

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1983

Language:

english

File:

PDF, 427 KB

english, 1983

28

Approximate description of the vibration of rods of periodic structure with mass oscillators

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1980

Language:

english

File:

PDF, 361 KB

english, 1980

29

Existence of solutions in ideal Hencke plasticity

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1984

Language:

english

File:

PDF, 232 KB

english, 1984

30

Existence of solutions in the quasistatic problem of the elastoplastic deformation of shells

Journal:

Siberian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 653 KB

english, 1984

31

A contact problem for a beam under the conditions of plasticity and creep

Journal:

Siberian Mathematical Journal

Year:

1993

Language:

english

File:

PDF, 314 KB

english, 1993

32

Optimal control of a plate over an obstacle

Journal:

Siberian Mathematical Journal

Year:

1990

Language:

english

File:

PDF, 500 KB

english, 1990

33

The equilibrium problem for a thermoelastic plate with a crack

Journal:

Siberian Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 700 KB

english, 1996

34

Equilibrium problem of an elastic plate with an oblique crack

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1997

Language:

english

File:

PDF, 313 KB

english, 1997

35

Equilibrium problem of a plate with an oblique cut

V. A. Kovtunenko, A. N. Leont'ev, A. M. Khludnev

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1998

Language:

english

File:

PDF, 560 KB

english, 1998

36

Regularization and existence of solutions in the equilibrium problem for an elastoplastic plate

Journal:

Siberian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 690 KB

english, 1998

37

Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions

A. M. Khludnev, V. A. Kozlov

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2008

Language:

english

File:

PDF, 184 KB

english, 2008

38

Crack on the boundary of two overlapping domains

A. Gaudiello, A. M. Khludnev

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2010

Language:

english

File:

PDF, 305 KB

english, 2010

39

Shape and topological sensitivity analysis in domains with cracks

Alexander Khludnev, Jan Sokołowski, Katarzyna Szulc

Journal:

Applications of Mathematics

Year:

2010

Language:

english

File:

PDF, 295 KB

english, 2010

40

Invariant Integrals in the Problem of a Crack on the Interface between Two Media

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

2005

Language:

english

File:

PDF, 202 KB

english, 2005

41

On unilateral contact of two plates aligned at an angle to each other

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

2008

Language:

english

File:

PDF, 220 KB

english, 2008

42

The variational contact problem for elastic objects of different dimensions

A. M. Khludnev, K. -H. Hoffmann, N. D. Botkin

Journal:

Siberian Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 154 KB

english, 2006

43

The solution of boundary value problems for the generalized creep equations with conditions in the form of inequalities on the boundary

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1984

Language:

english

File:

PDF, 473 KB

english, 1984

44

On a variational inequality for a shallow shell operator with a constraint on the boundary

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1987

Language:

english

File:

PDF, 400 KB

english, 1987

45

Differentiation of energy functionals in the theory of cracks with possible edge contact

J. Sokolowskii, A. M. Khludnev

Journal:

Doklady Physics

Year:

2000

Language:

english

File:

PDF, 61 KB

english, 2000

46

Invariant integrals in problems of a crack at the locus of inhomogeneity and in contact problems

Journal:

Doklady Physics

Year:

2004

Language:

english

File:

PDF, 72 KB

english, 2004

47

On the equilibrium of elastic bodies containing thin rigid inclusions

G. Leugering, A. M. Khludnev

Journal:

Doklady Physics

Year:

2010

Language:

english

File:

PDF, 201 KB

english, 2010

48

Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions on the crack faces

V. A. Kozlov, A. M. Khludnev

Journal:

Doklady Mathematics

Year:

2006

Language:

english

File:

PDF, 158 KB

english, 2006

49

Unilateral contact of a plate with a thin elastic obstacle

E. M. Rudoi, A. M. Khludnev

Journal:

Journal of Applied and Industrial Mathematics

Year:

2010

Language:

english

File:

PDF, 506 KB

english, 2010

50

Problem of a crack on the boundary of a rigid inclusion in an elastic plate

Journal:

Mechanics of Solids

Year:

2010

Language:

english

File:

PDF, 511 KB

english, 2010

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