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1

The nonlocal theory of elasticity and its applications to the description of defects in solid bodies

Yu. Z. Povstenko

Journal:

Journal of Mathematical Sciences

Year:

1999

Language:

english

File:

PDF, 409 KB

english, 1999

2

Fractional heat conduction equation and associated thermal stresses in an infinite solid with spherical cavity

Povstenko, Y. Z.

Journal:

The Quarterly Journal of Mechanics and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 6.53 MB

english, 2008

3

Time differentiation of tensors defined on a surface moving through a three-dimensional euclidean space

Iu.Z Povstenko, Ia.S. Podstrigach

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1983

Language:

english

File:

PDF, 434 KB

english, 1983

4

Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses

Journal:

Chaos, Solitons & Fractals

Year:

2008

Language:

english

File:

PDF, 783 KB

english, 2008

5

Thermoelasticity that uses fractional heat conduction equation

Y. Z. Povstenko

Journal:

Journal of Mathematical Sciences

Year:

2009

Language:

english

File:

PDF, 148 KB

english, 2009

6

Continuous theory of dislocations and disclinations in a two-dimensional medium

Yu.Z. Povstenko

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1985

Language:

english

File:

PDF, 461 KB

english, 1985

7

Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder

Yuriy Povstenko

Journal:

Fractional Calculus and Applied Analysis

Year:

2011

Language:

english

File:

PDF, 864 KB

english, 2011

8

Solutions to the fractional diffusion-wave equation in a wedge

Povstenko, Yuriy

Journal:

Fractional Calculus and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 282 KB

english, 2014

9

Optimal Boundary Control of Thermal Stresses in a Plate Based on Time-Fractional Heat Conduction Equation

Özdemir, N., Povstenko, Y., Avcı, D., İskender, B. B.

Journal:

Journal of Thermal Stresses

Year:

2014

Language:

english

File:

PDF, 317 KB

english, 2014

10

FRACTIONAL HEAT CONDUCTION EQUATION AND ASSOCIATED THERMAL STRESS

Povstenko, Y. Z.

Journal:

Journal of Thermal Stresses

Year:

2004

Language:

english

File:

PDF, 196 KB

english, 2004

11

Theory of thermoelasticity based on the space-time-fractional heat conduction equation

Journal:

Physica Scripta

Year:

2009

Language:

english

File:

PDF, 859 KB

english, 2009

12

Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition

Povstenko, Yuriy, Klekot, Joanna

Journal:

Computational & Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.60 MB

english, 2018

13

Fractional radial diffusion in a cylinder

Journal:

Journal of Molecular Liquids

Year:

2008

Language:

english

File:

PDF, 329 KB

english, 2008

14

Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses

Journal:

Mechanics Research Communications

Year:

2010

Language:

english

File:

PDF, 267 KB

english, 2010

15

Fractional diffusion equation and diffusive stresses

Yuriy Povstenko

Journal:

Year:

2007

Language:

english

File:

PDF, 73 KB

english, 2007

16

The diffusion equation for the concentration tensor

Yu. Z. Povstenko

Journal:

Journal of Mathematical Sciences

Year:

1993

Language:

english

File:

PDF, 221 KB

english, 1993

17

The mathematical theory of defects in a Cosserat continuum

Yu. Z. Povstenko

Journal:

Journal of Mathematical Sciences

Year:

1992

Language:

english

File:

PDF, 498 KB

english, 1992

18

Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry

Yuriy Povstenko

Journal:

Nonlinear Dynamics

Year:

2010

Language:

english

File:

PDF, 454 KB

english, 2010

19

Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane

Povstenko, Yuriy

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 398 KB

english, 2012

20

Time-fractional heat conduction in an infinite medium with a spherical hole under robin boundary condition

Povstenko, Yuriy

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 281 KB

english, 2013

21

Thermoelasticity of thin shells based on the time-fractional heat conduction equation

Povstenko, Yuriy

Journal:

Central European Journal of Physics

Year:

2013

Language:

english

File:

PDF, 270 KB

english, 2013

22

Dirichlet Problem for Time-Fractional Radial Heat Conduction in a Sphere and Associated Thermal Stresses

Povstenko, Y. Z.

Journal:

Journal of Thermal Stresses

Year:

2011

Language:

english

File:

PDF, 858 KB

english, 2011

23

Fractional radial diffusion in an infinite medium with a cylindrical cavity

Povstenko, Y. Z.

Journal:

Quarterly of Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 414 KB

english, 2009

24

Fractional Cattaneo-Type Equations and Generalized Thermoelasticity

Povstenko, Y. Z.

Journal:

Journal of Thermal Stresses

Year:

2011

Language:

english

File:

PDF, 424 KB

english, 2011

25

[Solid Mechanics and Its Applications] Fractional Thermoelasticity Volume 219 ||

Povstenko, Yuriy

Year:

2015

Language:

english

File:

PDF, 17.71 MB

english, 2015

26

Linear Fractional Diffusion-Wave Equation for Scientists and Engineers || Axisymmetric Equations in Cylindrical Coordinates

Povstenko, Yuriy

Year:

2015

Language:

english

File:

PDF, 982 KB

english, 2015

27

Evolution of the Initial Box-Signal for Fractional Diffusion-Wave Equation: The Second Cauchy and Source Problems

Povstenko, Yuriy

Journal:

IFAC Proceedings Volumes

Year:

2013

Language:

english

File:

PDF, 405 KB

english, 2013

28

Fractional heat conduction in a space with a source varying harmonically in time and associated thermal stresses

Journal:

Journal of Thermal Stresses

Year:

2016

Language:

english

File:

PDF, 388 KB

english, 2016

29

Fractional Diffusion in a Solid with Mass Absorption

Povstenko, Yuriy, Kyrylych, Tamara, Rygał, Grażyna

Journal:

Year:

2017

Language:

english

File:

PDF, 396 KB

english, 2017

30

Fractional thermoelasticity problem for a plane with a line crack under heat flux loading

Povstenko, Yuriy, Kyrylych, Tamara

Journal:

Journal of Thermal Stresses

Year:

2018

Language:

english

File:

PDF, 1.67 MB

english, 2018

31

Stresses due to Heterogeneous Surface Tension in Solids

Journal:

Year:

2002

Language:

english

File:

PDF, 88 KB

english, 2002

32

Connection between non-metric differential geometry and mathematical theory of imperfections

Yu.Z. Povstenko

Journal:

International Journal of Engineering Science

Year:

1991

Language:

english

File:

PDF, 662 KB

english, 1991

33

Conditions on the line of contact of three media

Iu.Z. Povstenko

Journal:

Journal of Applied Mathematics and Mechanics

Year:

1981

Language:

english

File:

PDF, 295 KB

english, 1981

34

Generalizations of laplace and young equations involving couples

Yuri Z. Povstenko

Journal:

Journal of Colloid and Interface Science

Year:

1991

Language:

english

File:

PDF, 633 KB

english, 1991

35

Theoretical investigation of phenomena caused by heterogeneous surface tension in solids

Yu.Z. Povstenko

Journal:

Journal of the Mechanics and Physics of Solids

Year:

1993

Language:

english

File:

PDF, 937 KB

english, 1993

36

Concentrated ring loading in a nonlocal elastic medium

Y.Z. Povstenko, I. Kubik

Journal:

International Journal of Engineering Science

Year:

2005

Language:

english

File:

PDF, 201 KB

english, 2005

37

Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation

Journal:

International Journal of Engineering Science

Year:

2005

Language:

english

File:

PDF, 459 KB

english, 2005

38

Evolution of the initial box-signal for time-fractional diffusion–wave equation in a case of different spatial dimensions

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2010

Language:

english

File:

PDF, 672 KB

english, 2010

39

Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation

Journal:

International Journal of Solids and Structures

Year:

2007

Language:

english

File:

PDF, 465 KB

english, 2007

40

Axisymmetric ring loading in a nonlocal elastic space

Journal:

International Journal of Engineering Science

Year:

2001

Language:

english

File:

PDF, 181 KB

english, 2001

41

Circular disclination loops in nonlocal elasticity

Y.Z. Povstenko, O.A. Matkovskii

Journal:

International Journal of Solids and Structures

Year:

2000

Language:

english

File:

PDF, 195 KB

english, 2000

42

Analysis of Motor Fields in Cosserat Continua of Two and One Dimensions and Its Applications

Yu. Z. Povstenko

Journal:

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

Year:

1986

Language:

english

File:

PDF, 300 KB

english, 1986

43

Stress functions for continua with couple stresses

Yu. Z. Povstenko

Journal:

Journal of Elasticity

Year:

1994

Language:

english

File:

PDF, 731 KB

english, 1994

44

Surface phenomena in solids taking into account physicomechanical processes

Ya. S. Podstrigach, P. R. Shevchuk, T. M. Onufrik, Yu. Z. Povstenko

Journal:

Materials Science (Springer)

Year:

1975

Language:

english

File:

PDF, 474 KB

english, 1975

45

Surface processes in elastic solids

Yu. Z. Povstenko

Journal:

Materials Science (Springer)

Year:

1979

Language:

english

File:

PDF, 249 KB

english, 1979

46

Diffusion absorption of a spherical void in a viscoelastic solid

Yu. Z. Povstenko

Journal:

Materials Science (Springer)

Year:

1980

Language:

english

File:

PDF, 216 KB

english, 1980

47

Effect of the gradient of surface tension on stresses in the solid

Yu. Z. Povstenko

Journal:

Materials Science (Springer)

Year:

1989

Language:

english

File:

PDF, 314 KB

english, 1989

48

Interaction between an edge dislocation and a circular boundary in the presence of an alien surface layer

Yu. Z. Povstenko

Journal:

International Applied Mechanics

Year:

1975

Language:

english

File:

PDF, 388 KB

english, 1975

49

Exact solution of the problem of stretching a half-plane with a crack reaching the boundary

Yu. Z. Povstenko

Journal:

International Applied Mechanics

Year:

1975

Language:

english

File:

PDF, 118 KB

english, 1975

50

Nonequilibrium thermodynamics of surface phenomena in solids

Yu. Z. Povstenko

Journal:

International Applied Mechanics

Year:

1982

Language:

english

File:

PDF, 315 KB

english, 1982

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