Skip to main content
Top

2021 | OriginalPaper | Chapter

8. Outlook

Authors : Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann

Published in: Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter first summarizes the content of the book and discusses key results. Subsequently, a multitude of promising future branches of research is outlined. On the one hand, this concerns possible theoretical extensions of the model and the numerical studies. On the other hand, proper experiments are suggested for the validation of the numerical results. Thereby, the focus is on cubic minerals.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Footnotes
1
This requires a solution for the problem https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-63696-8_8/501613_1_En_8_IEq2_HTML.gif with potential (3.​44) at \(p>1\).
 
2
The comparison with dislocation cell forming metals and alloys is, of course, limited due to the differences between metallic and ionic bond and the resulting consequences.
 
3
The actual realization at low temperatures with optical accessibility of the sample poses a technical challenge.
 
Literature
1.
go back to reference Gurtin, M.E.: A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids 50(1), 5–32 (2002)CrossRef Gurtin, M.E.: A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids 50(1), 5–32 (2002)CrossRef
2.
go back to reference Koster, M., Le, K.C.: Formation of grains and dislocation structure of geometrically necessary boundaries. Mater. Sci. Eng. A 643, 12–16 (2015)CrossRef Koster, M., Le, K.C.: Formation of grains and dislocation structure of geometrically necessary boundaries. Mater. Sci. Eng. A 643, 12–16 (2015)CrossRef
3.
go back to reference Koster, M., Le, K.C., Nguyen, B.D.: Formation of grain boundaries in ductile single crystals at finite plastic deformations. Int. J. Plast. 69, 134–151 (2015)CrossRef Koster, M., Le, K.C., Nguyen, B.D.: Formation of grain boundaries in ductile single crystals at finite plastic deformations. Int. J. Plast. 69, 134–151 (2015)CrossRef
4.
go back to reference Conti, S., Hackl, K. (eds.): Analysis and Computation of Microstructure in Finite Plasticity. Springer, Berlin (2015) Conti, S., Hackl, K. (eds.): Analysis and Computation of Microstructure in Finite Plasticity. Springer, Berlin (2015)
5.
go back to reference Ungár, T., Zehetbauer, M.: Stage IV work hardening in cell forming materials, part II: A new mechanism. Scripta Materialia 35(12), 1467–1473 (1996)CrossRef Ungár, T., Zehetbauer, M.: Stage IV work hardening in cell forming materials, part II: A new mechanism. Scripta Materialia 35(12), 1467–1473 (1996)CrossRef
6.
go back to reference Wang, D., Diehl, M., Roters, F., Raabe, D.: On the role of the collinear dislocation interaction in deformation patterning and laminate formation in single crystal plasticity. Mech. Mater. 125, 70–79 (2018)CrossRef Wang, D., Diehl, M., Roters, F., Raabe, D.: On the role of the collinear dislocation interaction in deformation patterning and laminate formation in single crystal plasticity. Mech. Mater. 125, 70–79 (2018)CrossRef
7.
go back to reference Yuan, F., Yan, D., Sun, J., Zhou, L., Zhu, Y., Wu, X.: Ductility by shear band delocalization in the nano-layer of gradient structure. Mater. Res. Lett. 7(1), 12–17 (2018)CrossRef Yuan, F., Yan, D., Sun, J., Zhou, L., Zhu, Y., Wu, X.: Ductility by shear band delocalization in the nano-layer of gradient structure. Mater. Res. Lett. 7(1), 12–17 (2018)CrossRef
8.
go back to reference Shutov, A.V., Ihlemann, J.: Zur Simulation plastischer Umformvorgänge unter Berücksichtigung thermischer Effekte. Materialwissenschaft und Werkstofftechnik 42(7), 632–638 (2011)CrossRef Shutov, A.V., Ihlemann, J.: Zur Simulation plastischer Umformvorgänge unter Berücksichtigung thermischer Effekte. Materialwissenschaft und Werkstofftechnik 42(7), 632–638 (2011)CrossRef
9.
go back to reference Bortoloni, L., Cermelli, P.: Dislocation Patterns and Work-Hardening in Crystalline Plasticity. J. Elast. 76(2), 113–138 (2004)CrossRef Bortoloni, L., Cermelli, P.: Dislocation Patterns and Work-Hardening in Crystalline Plasticity. J. Elast. 76(2), 113–138 (2004)CrossRef
10.
go back to reference Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications. Acta Materialia 58(4), 1152–1211 (2010)CrossRef Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications. Acta Materialia 58(4), 1152–1211 (2010)CrossRef
11.
go back to reference Skrotzki, W., Suzuki, T.: Peierls stresses of ionic crystals with the NaCl-structure. Radiat. Effects 74(1–4), 315–322 (2006) Skrotzki, W., Suzuki, T.: Peierls stresses of ionic crystals with the NaCl-structure. Radiat. Effects 74(1–4), 315–322 (2006)
12.
go back to reference Skrotzki, W., Frommeyer, O., Haasen, P.: Plasticity of polycrystalline ionic solids. Physica Status Solidi Appl. Res. 66, 219–228 (1981)CrossRef Skrotzki, W., Frommeyer, O., Haasen, P.: Plasticity of polycrystalline ionic solids. Physica Status Solidi Appl. Res. 66, 219–228 (1981)CrossRef
13.
go back to reference Haasen, P., Messerschmidt, U., Skrotzki, W.: Low energy dislocation structures in ionic crystals and semiconductors. Mater. Sci. Eng. 81, 493–507 (1986)CrossRef Haasen, P., Messerschmidt, U., Skrotzki, W.: Low energy dislocation structures in ionic crystals and semiconductors. Mater. Sci. Eng. 81, 493–507 (1986)CrossRef
14.
go back to reference Wang, X.G., Witz, J.F., El Bartali, A., Oudriss, A., Seghir, R., Dufrénoy, P., Feaugas, X., Charkaluk, E.: A dedicated DIC methodology for characterizing plastic deformation in single crystals. Exp. Mech. 56(7), 1155–1167 (2016)CrossRef Wang, X.G., Witz, J.F., El Bartali, A., Oudriss, A., Seghir, R., Dufrénoy, P., Feaugas, X., Charkaluk, E.: A dedicated DIC methodology for characterizing plastic deformation in single crystals. Exp. Mech. 56(7), 1155–1167 (2016)CrossRef
15.
go back to reference Mróz, Z., Oliferuk, W.: Energy balance and identification of hardening moduli in plastic deformation processes. Int. J. Plast. 18(3), 379–397 (2002)CrossRef Mróz, Z., Oliferuk, W.: Energy balance and identification of hardening moduli in plastic deformation processes. Int. J. Plast. 18(3), 379–397 (2002)CrossRef
Metadata
Title
Outlook
Authors
Christian B. Silbermann
Matthias Baitsch
Jörn Ihlemann
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-63696-8_8

Premium Partners