Skip to main content

2016 | OriginalPaper | Buchkapitel

9. Modeling Creep and Relaxation Caused by Phase Dissolution

verfasst von : X. Li, S. Rahman, Z. C. Grasley

Erschienen in: Challenges in Mechanics of Time Dependent Materials, Volume 2

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Many materials are multiphasic, with an evolving, transient microstructure. If load-bearing phases within such a material dissolve while the material is under load, the stress being transmitted by those phases is handed off to neighboring phases, which leads to additional deformation. Thus, time-dependent dissolution results in creep or relaxation of the macroscopic material. To mechanistically model such dissolution-induced creep or relaxation, it is necessary to couple a model of the microstructure with the evolving states of stress and strain within the material. Here, we discuss a computationally-implemented model where creep or relaxation of an evolving composite is attributable to dissolution. Special care is taken in tracking the natural configuration of each voxel of the multiphasic material such that newly precipitated phases form in a stress-free state. The new model is utilized to model (1) relaxation of a porous material that has melting ice within its pore network and (2) relaxation due to hydration-induced dissolution within cement paste.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Fußnoten
1
Apparent strain is defined here, from a continuum mechanics perspective, as strain that exists independent of the state of stress. Unlike other ‘free’ strains (e.g., strain induced by changes in temperature or moisture state of the material), the apparent strain here does not involve a change in the atomic or molecular spacing from the reference configuration. However, from a book-keeping perspective, apparent strain is treated in the same fashion as free strains.
 
2
This solution procedure for the VE/VP material problem disregards any linear momentum in the body. This approach generates negligible error since the velocity of the time-dependent deformation is extremely slow under the boundary conditions considered.
 
Literatur
1.
Zurück zum Zitat M. Suter, G. Benipal, Constitutive model for aging thermoviscoelasticity of reacting concrete I: theoretical formulation. Mech. Time-Depend. Mater. 14, 277–290 (2010)CrossRef M. Suter, G. Benipal, Constitutive model for aging thermoviscoelasticity of reacting concrete I: theoretical formulation. Mech. Time-Depend. Mater. 14, 277–290 (2010)CrossRef
2.
Zurück zum Zitat O.M. Jensen, P.F. Hansen, Autogenous deformation and change of the relative humidity in silica fume-modified cement paste. ACI Mater. J. 93, 539–543 (1996) O.M. Jensen, P.F. Hansen, Autogenous deformation and change of the relative humidity in silica fume-modified cement paste. ACI Mater. J. 93, 539–543 (1996)
3.
Zurück zum Zitat B.T. Tamtsia, J.J. Beaudoin, Basic creep of hardened cement paste. A re-examination of the role of water. Cem. Concr. Res. 30, 1465–1475 (2000)CrossRef B.T. Tamtsia, J.J. Beaudoin, Basic creep of hardened cement paste. A re-examination of the role of water. Cem. Concr. Res. 30, 1465–1475 (2000)CrossRef
4.
Zurück zum Zitat X. Li, Z.C. Grasley, E.J. Garboczi, J.W. Bullard, Modeling the apparent and intrinsic viscoelastic relaxation of hydrating cement paste. Cem. Concr. Compos. 55, 322–330 (2015)CrossRef X. Li, Z.C. Grasley, E.J. Garboczi, J.W. Bullard, Modeling the apparent and intrinsic viscoelastic relaxation of hydrating cement paste. Cem. Concr. Compos. 55, 322–330 (2015)CrossRef
5.
Zurück zum Zitat X. Li, Z.C. Grasley, E.J. Garboczi, J.W. Bullard, Computing the time evolution of the apparent viscoelastic/viscoplastic Poisson’s ratio of hydrating cement paste. Cem. Concr. Compos. 56, 121–133 (2015)CrossRef X. Li, Z.C. Grasley, E.J. Garboczi, J.W. Bullard, Computing the time evolution of the apparent viscoelastic/viscoplastic Poisson’s ratio of hydrating cement paste. Cem. Concr. Compos. 56, 121–133 (2015)CrossRef
6.
Zurück zum Zitat W. Ruetz, A hypothesis for the creep of hardened cement paste and the influence of simultaneous shrinkage, Proceedings of International Conference on the Structure of Concrete, (1968) W. Ruetz, A hypothesis for the creep of hardened cement paste and the influence of simultaneous shrinkage, Proceedings of International Conference on the Structure of Concrete, (1968)
7.
Zurück zum Zitat T.I. Zohdi, Homogenization Methods and Multiscale Modeling (Wiley, Chichester, 2004)CrossRef T.I. Zohdi, Homogenization Methods and Multiscale Modeling (Wiley, Chichester, 2004)CrossRef
8.
Zurück zum Zitat R.B. Bohn, E.J. Garboczi, User Manual for Finite Element and Finite Difference Programs: A Parallel Version of NISTIR-6269, U.S. Department of commerce, Technology Administration, National Institute of Standards and Technology, Information Technology Laboratory, Building and Fire Research Laboratory, (2003) R.B. Bohn, E.J. Garboczi, User Manual for Finite Element and Finite Difference Programs: A Parallel Version of NISTIR-6269, U.S. Department of commerce, Technology Administration, National Institute of Standards and Technology, Information Technology Laboratory, Building and Fire Research Laboratory, (2003)
9.
Zurück zum Zitat C.J. Haecker, E.J. Garboczi, J.W. Bullard, R.B. Bohn, Z. Sun, S.P. Shah, T. Voigt, Modeling the linear elastic properties of Portland cement paste. Cem. Concr. Res. 35, 1948–1960 (2005)CrossRef C.J. Haecker, E.J. Garboczi, J.W. Bullard, R.B. Bohn, Z. Sun, S.P. Shah, T. Voigt, Modeling the linear elastic properties of Portland cement paste. Cem. Concr. Res. 35, 1948–1960 (2005)CrossRef
10.
Zurück zum Zitat E.J. Garboczi, A.R. Day, An algorithm for computing the effective linear elastic properties of heterogeneous materials: three-dimensional results for composites with equal phase Poisson ratios. J. Mech. Phys. Solids 43, 1349–1362 (1995)MATHCrossRef E.J. Garboczi, A.R. Day, An algorithm for computing the effective linear elastic properties of heterogeneous materials: three-dimensional results for composites with equal phase Poisson ratios. J. Mech. Phys. Solids 43, 1349–1362 (1995)MATHCrossRef
11.
Zurück zum Zitat S.P. Timnoshenko, J.N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970) S.P. Timnoshenko, J.N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970)
12.
Zurück zum Zitat P.V. Hobbs, Ice Physics (Oxford University Press, Oxford, 2010) P.V. Hobbs, Ice Physics (Oxford University Press, Oxford, 2010)
13.
Zurück zum Zitat S. Rahman, Z. Grasley, A poromechanical model of freezing concrete to elucidate damage mechanisms associated with substandard aggregates. Cem. Concr. Res. 55, 88–101 (2014)CrossRef S. Rahman, Z. Grasley, A poromechanical model of freezing concrete to elucidate damage mechanisms associated with substandard aggregates. Cem. Concr. Res. 55, 88–101 (2014)CrossRef
14.
Zurück zum Zitat C.K. Leung, Z.C. Grasley, Poromechanical damping of cementitious materials. J. Mater. Civil Eng. 24, 232–238 (2012)CrossRef C.K. Leung, Z.C. Grasley, Poromechanical damping of cementitious materials. J. Mater. Civil Eng. 24, 232–238 (2012)CrossRef
15.
Zurück zum Zitat C.A. Jones, Z.C. Grasley, Correlation of radial flow-through and hollow cylinder dynamic pressurization test for measuring permeability. J. Mater. Civil Eng. 21, 594–600 (2009)CrossRef C.A. Jones, Z.C. Grasley, Correlation of radial flow-through and hollow cylinder dynamic pressurization test for measuring permeability. J. Mater. Civil Eng. 21, 594–600 (2009)CrossRef
16.
Zurück zum Zitat C.A. Jones, Z.C. Grasley, Correlation of hollow and solid cylinder dynamic pressurization tests for measuring permeability. Cem. Concr. Res. 39, 345–352 (2009)CrossRef C.A. Jones, Z.C. Grasley, Correlation of hollow and solid cylinder dynamic pressurization tests for measuring permeability. Cem. Concr. Res. 39, 345–352 (2009)CrossRef
17.
Zurück zum Zitat C.A. Jones, Z.C. Grasley, Novel and flexible dual permeability measurement device for cementitious materials. ACI Mater. J. 106, 192–197 (2009) C.A. Jones, Z.C. Grasley, Novel and flexible dual permeability measurement device for cementitious materials. ACI Mater. J. 106, 192–197 (2009)
18.
Zurück zum Zitat C.A. Jones, Z.C. Grasley, Measuring Concrete Permeability Using Dynamic Pressurization: Achieving Saturation, 2009 NRMCA Concrete Technology Forum, (electronic proceedings) T05.2, (2009) C.A. Jones, Z.C. Grasley, Measuring Concrete Permeability Using Dynamic Pressurization: Achieving Saturation, 2009 NRMCA Concrete Technology Forum, (electronic proceedings) T05.2, (2009)
19.
Zurück zum Zitat L.D. Landau, E.M. Lifshitz, Theory of elasticity, 3rd edn. (Pergamon Press, Oxford, 1986) L.D. Landau, E.M. Lifshitz, Theory of elasticity, 3rd edn. (Pergamon Press, Oxford, 1986)
20.
Zurück zum Zitat D. Bentz, E. Garboczi, K. Snyder, Hard core/soft shell microstructural model for studying percolation and transport in three-dimensional composite media. NISTIR 55, 62–65 (1999) D. Bentz, E. Garboczi, K. Snyder, Hard core/soft shell microstructural model for studying percolation and transport in three-dimensional composite media. NISTIR 55, 62–65 (1999)
21.
Zurück zum Zitat A. Yazdanbakhsh, Production, characterization, and mechanical behavior of cementitious materials incorporating carbon nanofibers. (Texas A&M University, 2012) A. Yazdanbakhsh, Production, characterization, and mechanical behavior of cementitious materials incorporating carbon nanofibers. (Texas A&M University, 2012)
22.
Zurück zum Zitat J.W. Bullard, B. Lothenbach, P.E. Stutzman, K.A. Snyder, Coupling thermodynamics and digital image models to simulate hydration and microstructure development of Portland cement pastes. J. Mater. Res. 26, 609–622 (2011)CrossRef J.W. Bullard, B. Lothenbach, P.E. Stutzman, K.A. Snyder, Coupling thermodynamics and digital image models to simulate hydration and microstructure development of Portland cement pastes. J. Mater. Res. 26, 609–622 (2011)CrossRef
23.
Zurück zum Zitat B. Lothenbach, F. Winnefeld, Thermodynamic modelling of the hydration of Portland cement. Cem. Concr. Res. 36, 209–226 (2006)CrossRef B. Lothenbach, F. Winnefeld, Thermodynamic modelling of the hydration of Portland cement. Cem. Concr. Res. 36, 209–226 (2006)CrossRef
24.
Zurück zum Zitat L. Parrot, D. Killoh, Prediction of cement hydration. Proc. Br. Ceram. Soc. 35, 41–53 (1984) L. Parrot, D. Killoh, Prediction of cement hydration. Proc. Br. Ceram. Soc. 35, 41–53 (1984)
Metadaten
Titel
Modeling Creep and Relaxation Caused by Phase Dissolution
verfasst von
X. Li
S. Rahman
Z. C. Grasley
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-22443-5_9

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.