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On Constitutive Models for the Momentum Transfer to Particles in Fluid-Dominated Two-Phase Flows Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Optimal Design of Disks Under Large Creep Deformation

Authors : Aneta Ustrzycka, Krzysztof Szuwalski, Zbigniew L. Kowalewski

Published in: Advances in Mechanics of Materials and Structural Analysis

Publisher: Springer International Publishing

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Abstract

Optimal distribution of thickness in the class of polynomial functions for rotating axisymmetric disks with respect to the mixed creep rupture time are found. Two effects lead to damage: reduction of transversal dimensions and growth of micro-cracks are simultaneously taken into account. The former requires the finite strain analysis, the latter is described by the Kachanov’s evolution equation. Behaviour of the material is described by nonlinear Norton’s law, generalized for Cauchy true stress and logarithmic strain, and the shape change law in the form of similarity of Cauchy true stress and logarithmic strain deviators. For optimal shapes, changes of geometry of the disk and continuity function are presented. The theoretical considerations based on the perception of the structural components as some highlighted objects with defined properties are presented.

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previous chapter A Multi-layer Piezocomposite Model and Application on Controlled Smart Structures
next chapter A J-Interaction Integral to Compute Force Stress and Couple Stress Intensity Factors for Cracks in Functionally Graded Micropolar Materials
Literature
1.
Betten, J.: Mathematical modelling of materials behaviour under creep conditions. Appl. Mech. Rev. 54(2), 107–132 (2001)CrossRef
2.
Castillo-Rodríguez, M., Nó, M.L., Jiménez, J.A., Ruano, O.A., San, Juan J.: High temperature internal friction in a Ti-46Al-1Mo-0.2Si intermetallic, comparison to creep behaviour. Acta Mater. 103, 46–56 (2016)CrossRef
3.
Çğallioğlu, H., Topcu, M., Tarakcilar, A.R.: Elastic-plastic stress analysis on orthotropic rotating disc. Int. J. Mech. Sci. 48, 985–990 (2006)CrossRefMATH
4.
Dems, K., Mróz, Z.: Shape sensitivity analysis and optimal design of disks and plates with strong discontinuities of kinematic fields. Int. J. Solids Struct. 29(4), 437–463 (1992)CrossRefMATH
5.
Dorn, J.E.: Some fundamental experiments on high temperature creep. J. Mech. Phys. Solids 3(2), 85 (1955)CrossRef
6.
Eraslan, A.N.: Elastic-plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions. Int. J. Mech. Sci. 45(4), 643–667 (2003)CrossRefMATH
7.
Eraslan, A.N., Orcan, Y.: Elastic-plastic deformation of a rotating solid disk of exponentially varying thickness. Mech. Mater. 34, 423–432 (2002)
8.
Eraslan, A.N., Orcan, Y.: On the rotating elastic-plastic solid disks of variable thickness having concave profiles. Int. J. Mech. Sci. 44, 1445–1466 (2002)
9.
Farshi, B., Bidabadi, J.: Optimum design of inhomogeneous rotating discs under secondary creep. Int. J. Press. Vessels Pip. 85, 507–515 (2008)CrossRef
10.
Gamer, U.: Elastic-plastic deformation of the rotating solid disk. Ingenieur-Arch. 54, 345–354 (1984)CrossRefMATH
11.
Ganczarski, A., Skrzypek, J.: Optimal shape of prestressed disks in creep. J. Struct. Mech. 2, 141–160 (1976)
12.
Golub, V.P.: Derivation of creep long-term fracture criteria under plane state of stress. Int. J. Mech. Sci. 47(12), 1807–1826 (2005)CrossRefMATH
13.
Golub, V.P., Teteruk, R.G.: Evaluating the time to ductile fracture under creep conditions. Int. Appl. Mech. 30(11), 898–905 (1994)CrossRef
14.
Golub, V.P., Romanov, A.V., Romanova, N.V.: Nonlinear creep and ductile creep rupture of perfectly elastoplastic rods under tension. Int. Appl. Mech. 44(4), 459–470 (2008)CrossRef
15.
Grabovsky, Y.: Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals. Adv. Appl. Math. 27, 683–704 (2001)MathSciNetCrossRefMATH
16.
Gun, H.: Two-dimensional boundary element analysis of creep continuum damage problems with plastic effects. Comput. Mater. Sci. 41(3), 322–329 (2008)CrossRef
17.
Gunneskov, O.: Optimal design of rotating disks in creep. J. Struct. Mech. 4(2), 141–160 (1976)CrossRef
18.
Guven, U.: Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. Int. J. Mech. Sci. 34, 133–8 (1992)CrossRefMATH
19.
Hayhurst, D.R.: Creep rupture under multi-axial states of stress. J. Mech. Phys. Solids 20, 381–390 (1972)CrossRef
20.
Hoff, N.J.: The necking and rupture of rods subjected to constant tensile loads. J. Appl. Mech. Trans. ASME 20, 105–112 (1953)
21.
Jahed, H., Farshi, B., Bidabadi, J.: Minimum weight design of inhomogeneous rotating discs. Int. J. Press. Vessels Pip. 82, 35–41 (2005)CrossRef
22.
Jiang, L.: Optimal design of equipment for al in-situ composites fabricated by reaction synthesis. In: International Conference on Measuring Technology and Mechatronics Automation, vol. 2, pp. 832–836 (2010)
23.
Kachanov, L.M.: Creep Theory. Fizmatgiz, Moskwa (1960)
24.
Kastenhuber, M., Rashkova, B., Clemens, H., Mayer, S.: Effect of microstructural instability on the creep resistance of an advanced intermetallic g-TiAl based alloy. Intermetallics 80, 1–9 (2017)CrossRef
25.
Kordkheili, S.A.H., Naghdabadi, R.: Thermoelastic analysis of a functionally graded rotating disk. Compos. Struct. 79(4), 508–516 (2007)CrossRefMATH
26.
Kou, X.Y., Parks, G.T., Tan, S.T.: Optimal design of functionally graded materials using a procedural model and particle swarm optimisation. Comput. Aided Design 44(4), 300–310 (2012)CrossRef
27.
Kowalewski, Z.L., Mackiewicz, S., Szelżek, J., Pietrzak, K., Augustyniak, B.: Evaluation of damage in steels subjected to prior deformation - destructive and nondestructive techniques. J. Multiscale Model. 479–499 (2009)
28.
Lin, J., Kowalewski, Z.L., Cao, J.: Creep rupture of copper and aluminum alloy under combined loadings - experiments and their various descriptions. Int. J. Mech. Sci. 47, 1038–1058 (2005)CrossRef
29.
Martin, J.B., Leckie, F.A.: On the creep rupture of structures. J. Mech. Phys. Solids 20, 223–238 (1972)
29.
Mentl, V.: An application of a phenomenological theory of creep damage. Mater. High Temp. 23, 195–200 (2006)CrossRef
30.
Orcan, Y., Eraslan, A.N.: Elastic-plastic stresses in linearly hardening rotating solid disks of variable thickness. Mech. Res. Commun. 29, 269–281 (2002)CrossRefMATH
31.
Pedersen, P.: On optimal shapes in materials and structures. Struct. Multidisc. Optim. 19, 169–182 (2000)CrossRef
32.
Pedersen, P.: On the influence of boundary conditions, Poisson’s ratio and material non-linearity on the optimal shape. Int. J. Solids Struct. 38(3), 465–477 (2001)CrossRefMATH
33.
Rysz, M.: Optimal design of a thick-walled pipeline cross-section against creep rupture. Acta Mech. 1(4), 83–102 (1987)CrossRefMATH
34.
Shimanovskii, A.V., Shalinskii, V.V.: Physically and geometrically nonlinear deformation of bars: numerical analytic problem-solving. Int. Appl. Mech. 45(5), 572–577 (2009)MathSciNetCrossRefMATH
35.
Szuwalski, K.: Optimal design of bars under nonuniform tension with respect to ductile creep rupture. Mech. Struct. Mach. 3, 303–319 (1989)CrossRef
36.
Szuwalski, K.: Nohomogeneous bars optimal with respect to ductile creep rupture. Eng. Opt. 25, 54–60 (1995)CrossRef
37.
Szuwalski, K., Ustrzycka, A.: Optimal design of bars under nonuniform tension with respect to mixed creep rupture time. Int. J. Non-Linear Mech. 47, 55–60 (2012)CrossRef
38.
Szuwalski, K., Ustrzycka, A.: The influence of boundary conditions on optimal shape of annular disk with respect to ductile creep rupture time. Eur. J. Mech. A-Solids 37, 79–85 (2013)
39.
Szuwalski, K., Ustrzycka, A.: Optimal design of full disks with respect to mixed creep rupture time. Eng. Struct. 20, 1728–1734 (2013)
40.
Szuwalski, K., Ustrzycka, A.: Mathematical and numerical modelling of large creep deformations for annular rotating disks. Appl. Math. Mech. Engl. Ed. 36, 1441–1448 (2015)MathSciNetCrossRef
41.
Vivio, F., Vullo, V.: Elastic stress analysis of rotating converging conical disks subjected to thermal load and having variable density along the radius. Int. J. Solids Struct. 44(24), 7767–7784 (2007)CrossRefMATH
42.
Vivio, F., Vullo, L.: Elastic-plastic analysis of rotating disks having non-linearly variable thickness: residual stresses by overspeeding and service stress state reduction. Ann. Solid Struct. Mech. 1(2), 87–102 (2010)CrossRef
43.
Zenkour, A.M.: Elastic deformation of the rotating functionally graded annular disk with rigid casing. J. Mater. Sci. 43(23), 9717–9724 (2007)CrossRef
44.
Życzkowski, M.: Optimal structural design in rheology. J. Appl. Mech. 38(1), 39–46 (1971)CrossRef
45.
Życzkowski, M.: Optimal structural design under creep conditions. Appl. Mech. Rev. 12, 453–461 (1988)CrossRef
Metadata
Title
Optimal Design of Disks Under Large Creep Deformation
Authors
Aneta Ustrzycka
Krzysztof Szuwalski
Zbigniew L. Kowalewski
Copyright Year
2018
Book
Advances in Mechanics of Materials and Structural Analysis

Print ISBN: 978-3-319-70562-0

Electronic ISBN: 978-3-319-70563-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-70563-7_18

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