Thermodynamic gradient-based poroplastic theory for concrete under high temperatures

International Journal of Plasticity

Volumn 61, Issue , 2014, Pages 157-177

  Ripani, Marianela ^a   Etse, Guillermo ^a   Vrech, Sonia ^b   Mroginski, Javier ^b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b UNIVERSIDAD NACIONAL DE TUCUMÁN   (Argentina)

Author keywords

Concrete; Failure behavior; Gradient theory; High temperature; Thermodynamic consistency

Indexed keywords

FAILURE (MECHANICAL); STIFFNESS; STRENGTH OF MATERIALS; THERMODYNAMICS;

COUPLED THERMO-MECHANICAL; FAILURE BEHAVIORS; GRADIENT THEORY; HIGH TEMPERATURE; PREDICTIVE CAPABILITIES; STRENGTH AND STIFFNESS; THERMODYNAMIC APPROACHES; THERMODYNAMIC CONSISTENCY;

CONCRETES;

EID: 84904537884     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2014.06.001     Document Type: Article

References (103)

1. R.K. Abu Al-Rub, and M.K. Darabi A thermodynamic framework for constitutive modeling of time- and rate-dependent materials Part i: theory Int. J. Plasticity 34 2012 61 92
2. E.C. Aifantis On the microestructural origin of certain inelastic models J. Eng. Mater. Technol. 106 1984 326 330 (Pubitemid 15440165)
3. E.C. Aifantis The physics of plastic deformation Int. J. Plasticity 3 1987 211 247
4. E.C. Aifantis, and H.M. Zbib On the localization and postlocalization behaviour of plastic deformation. III Res. Mechanica. 23 1988 261 305
5. Anderberg, Y., Thelandersson, S., 1976. Stress and deformation characteristics of concrete at high temperatures: 2. Experimental investigation and material behavior mode. In: Bulletin 54, Lund Institute of Technology, Luden, Sweden, pp. 1-85.
6. G. Baker The effect of exposure to elevated temperatures on the fracture energy of plain concrete Mater. Struct. 39 1996 47 61
7. R.V. Balendran, A. Nadeem, T. Maqsood, and H.Y. Leung Flexural and split cylinder strengths of HSC at elevated temperatures Fire Technol. 29 2003 383 388
8. Z.P. Bazant, and B. Oh Crack band theory for fracture concrete Mater. Struct. 16 1983 155 177 (Pubitemid 13576166)
9. T. Belytschko, and D. Lasry A study of localization limiters for strain-softening in statics and dynamics Comput. Struct. 33 1989 707 715 (Pubitemid 20622633)
10. S. Bonelli, O. Millet, J. Nicot, J. Rahmoun, and G. De Saxcé On the definition of an average strain tensor for two-dimensional granular material assemblies Int. J. Solids Struct. 49 2012 947 958
11. R. de Borst Simulation of strain localization: a reappraisal of the Cosserat continuum Eng. Comput. 8 1991 317 332
12. M. Canadija, and J. Brnic Associative coupled thermoplasticity at finite strain with temperature-dependent material parameters Int. J. Plasticity. 20 2004 1851 1874
13. C. Castillo, and A.J. Durrani Effect of transient high temperature on high-strength concrete ACI Mater. J. 87 1990 47 53 (Pubitemid 20646460)
14. Y.N. Chan, G.F. Peng, and M. Anson Residual strength and pore structure of high-strength concrete and normal strength concrete after exposure to high temperatures Cement Concrete Comp. 21 1999 23 27
15. Y.N. Chan, G.F. Peng, and J.K.W. Chan Comparison between high strength concrete and normal strength concrete subjected to high temperature Mater. Struct. 29 1996 616 619 (Pubitemid 126631183)
16. Y.F. Chang, Y.H. Chen, M.S. Sheu, and G.C. Yao Residual stress-strain relationship for concrete after exposure to high temperatures Cem. Concr. Res. 36 2006 1999 2005 (Pubitemid 44572175)
17. J. Chung, and G. Consolazio Numerical modeling of transport phenomena in reinforced concrete exposed to elevated temperatures Cem. Concr. Res. 35 2005 597 608 (Pubitemid 40245625)
18. B.D. Coleman, and M.L. Hodgdon On shear bands in ductile materials Arch. Rat. Mech. Anal. 90 1985 219 247
19. O. Coussy Mechanics of Porous Continua 1995 John Wiley & Sons
20. O. Coussy Poromechanics 2004 John Wiley & Sons
21. S. Dal Pont, and A. Ehrlacher Numerical and experimental analysis of chemical dehydration, heat and mass transfers in a concrete hollow cylinder submitted to high temperatures Int. J. Heat Mass Tran. 47 2004 135 147 (Pubitemid 37250105)
22. M. De Morais, P. Pliya, A. Noumow, A. Beaucour, and S. Ortola Numerical and experimental analysis of chemical dehydration, heat and mass transfers in a concrete hollow cylinder submitted to high temperatures Nucl. Eng. Des. 240 2010 2655 2663
23. Della Croce, G., Giaccio, G., Villa, I., Zerbino, R., 2000. Resistencia y deformabilidad en compresión de hormigones afectados por altas temperaturas. In: Jornadas SAM 2000 - IV Coloquio Latinoamericano de Fractura y Fatiga, pp. 1151-1157.
24. U. Diederichs, U.M. Jumppanen, and V. Penttala Material properties of high strength concrete at elevated temperature IABSE Thirteenth Congress 1988 Helsinki Finland 151 181
25. A. Dietsche, P. Steinmann, and K. Willam Micropolar elastoplasticity and its role in localization Int. J. Plast. 7 1993 813 831
26. G. Etse, P. Steinmann, and M. Nieto A micropolar microplane theory Int. J. Eng. Sci. 41 2003 1631 1648
27. G. Etse, P. Steinmann, and K. Willam Computational aspects of localized failure simulations in plain concrete Int. RILEM/ESIS Pub. Fract. Process. Concr. Rock Ceram. 2 1991 651 660
28. G. Etse, and K. Willam Fracture energy formulation for inelastic behavior of plain concrete J. Eng. Mech. 120 1994 1983 2011
29. A. Feraille-Fresnet, P. Tamagny, A. Ehrlacher, and J. Sercombe Thermo-hydro-chemical modelling of a porous medium submitted to high temperature: An application to an axisymmetrical structure Math. Comput. Model. 37 2003 641 650 (Pubitemid 36573047)
30. S. Forest, and E.C. Aifantis Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua Int. J. Solids Struct. 47 2010 3367 3376
31. Gawin, D., Majorana, C.E., Pesavento, F., Schrefler, B.A., 1998. A fully coupled multiphase finite element model of hygro-thermo-mechanical behaviour of concrete at high temperature. In: Computational Mechanics New Trends and Applications, CIMNE, Barcelona, Spain.
32. D. Gawin, F. Pesavento, and B.A. Schrefler Modelling of hygro-thermal behaviour of concrete at high temperature with thermo-chemical and mechanical material degradation Comput. Method Appl. M. 192 2003 1731 1771 (Pubitemid 36346062)
33. D. Gawin, F. Pesavento, and B.A. Schrefler Modelling of deformations of high strength concrete at elevated temperatures Mater. Struct. 37 2004 218 236
34. D. Gawin, F. Pesavento, and B.A. Schrefler Towards prediction of the thermal spalling risk through a multi-phase porous media model of concrete Comput. Method Appl. M. 195 2006 5707 5729 (Pubitemid 43942197)
35. Hurlbut, B., 1985. Experimental and Computational Investigation of Strain-Softening in Concrete. Master Thesis. University of Colorado.
36. I. Janotka, and L. Bagel Pore structures, permeabilities, and compressive strengths of concrete at temperatures up to 800°C ACI Mater. J. 100 2002 196 200
37. T. Jiang, and J.F. Shao Micromechanical analysis of the nonlinear behavior of porous geomaterials based on the fast fourier transform Comput. Geotech. 46 2012 69 74
38. M. Jooss, and H.W. Reinhardt Permeability and diffusivity of concrete as function of temperature Cement. Concr. Res. 32 2002 1497 1504 (Pubitemid 34802447)
39. K. Kamrin Nonlinear elasto-plastic model for dense granular flow Int. J. Plasticity 26 2010 167 188
40. A. Khennane, and G. Baker Plasticity models for the biaxial behaviour of concrete at elevated temperatures. Part I: failure criterion Comput. Method Appl. M. 100 1992 207 223 (Pubitemid 23570569)
41. A. Khennane, and G. Baker Plasticity models for the biaxial behaviour of concrete at elevated temperatures. Part II: implementation and simulation tests Comput. Method Appl. M. 100 1992 225 248 (Pubitemid 23570568)
42. L. La Ragione, V.C. Prantil, and I. Sharma A simplified model for inelastic behavior of an idealized granular material Int. J. Plasticity 24 2008 168 189 (Pubitemid 47600602)
43. J. Lee, Y. Xi, and K. Willam Properties of concrete after high-temperature heating and cooling ACI Mater. J. 105 2008 334 341
44. A. Leon Ueber das Mass der Anstrenung bei Beton Ingenieur Archiv 4 1935 421 431
45. M. Li, C. Qian, and W. Sun Mechanical properties of high-strength concrete after fire Cement. Concr. Res. 34 2004 1001 1005
46. K. Loeffel, and L. Anand A chemo-thermo-mechanically coupled theory for elasticviscoplastic deformation, diffusion, and volumetric swelling due to a chemical reaction Int. J. Plasticity 27 2011 1409 1431
47. P. Majumdar, A. Gupta, and A. Marchetas Moistures propagation and resulting stress in heated concrete walls Nucl. Eng. Des. 156 1995 147 158
48. E. Martinelli, E. Koenders, and A. Caggiano A numerical recipe for modelling hydration and heat flow in hardening concrete Cem. Concr. Comp. 40 2013 48 58
49. S.C. Mehmet, and T. Ozturan Mechanical properties of normal and high strength concretes subjected to high temperatures and using image analysis to detect bond deteriorations Constr. Build. Mater. 24 2010 1486 1493
50. A. Menou, G. Mounajed, H. Boussa, A. Pineaud, and H. Carre Residual fracture energy of cement paste, mortar and concrete subject to high temperature Theor. Appl. Fract. Mec. 45 2006 64 71 (Pubitemid 43116225)
51. Mihashi, H., Numao, T., Fukuzawa, K., 1992. Simultaneous heat and mass transfer in heated concrete. In: 3rd International Workshop: Behaviour of Concrete Elements under Thermal and Hygral Gradients. Weimar, Germany.
52. J.C. Mindeguia, P. Pimienta, A. Noumow, and M. Kanema Temperature, pore pressure and mass variation of concrete subjected to high temperature experimental and numerical discussion on spalling risk Cem. Concr. Res. 40 2010 477 487
53. J. Mroginski, and G. Etse A finite element formulation of gradient-based plasticity for porous media with C1 interpolation of state variables Comput. Geotech. 49 2013 7 17
54. J. Mroginski, and G. Etse Discontinuous bifurcation analysis in thermodynamically consistent gradient poroplastic materials Int. J. Solids Struct. 51 2014 1834 1846
55. J. Mroginski, G. Etse, and S. Vrech A thermodynamical gradient theory for deformation and strain localization of porous media Int. J. Plasticity. 27 2011 620 634
56. H.B. Muehlhaus, and I. Vardoulakis The thickness of shear bands in granular materials Geotechnique 37 1987 271 283
57. K.K. Muraleetharan, C. Liu, C. Wei, T.C.G. Kibbey, and L. Chen An elastoplatic framework for coupling hydraulic and mechanical behavior of unsaturated soils Int. J. Plasticity 25 2009 473 490
58. F. Nicot, and F. Darve A micro-mechanical investigation of bifurcation in granular materials Int. J. Solids Struct. 44 2007 6630 6652 (Pubitemid 47238826)
59. F. Nicot, N. Hadda, M. Guessasma, J. Fortin, and O. Millet On the definition of the stress tensor in granular media Int. J. Solids Struct. 50 2013 2508 2517
60. F. Nicot, L. Sibille, and F. Darve Bifurcation in granular materials: an attempt for a unified framework Int. J. Solids Struct. 46 2009 3938 3947
61. F. Nicot, L. Sibille, and F. Darve Failure in rate-independent granular materials as a bifurcation toward a dynamic regime Int. J. Plasticity 29 2012 136 154
62. C.V. Nielsen, and N. Bićanić Residual fracture energy of high-performance and normal concrete subject to high temperatures Mater. Struct. 36 2003 515 521
63. W. Obeid, A. Alliche, and G. Mounajed Identification of the physical parameters used in the thermo-hygro-mechanical model Transport Porous Med. 45 2001 215 239 (Pubitemid 33073193)
64. W. Obeid, G. Mounajed, and A. Alliche Mathematical formulation of thermo-hygro-mechanical coupling problem in non-saturated porous media Comput. Method Appl. M. 190 2011 5105 5122
65. M. Ortiz A constitutive theory for the inelastic behaviour of concrete Mech. Mater. 4 1985 67 93 (Pubitemid 15561661)
66. Z. Pan, J.G. Sanjayan, and D.L.Y. Kong Effect of aggregate size on spalling of geopolymer and portland cement concretes subjected to elevated temperatures Constr. Build. Mater. 36 2012 365 372
67. Prato, T., Cervera, M., Oliver, J., 1997. Simulación numérica del proceso de hidratación del hormigón. CIMNE N 114, Barcelona.
68. J. Sercombe, F.J. Ulm, and H.A. Mang Consistent return mapping algorithm for chemoplastic constitutive laws with internal couplings Int. J. Numer. Meth. Eng. 47 1998 75 100 (Pubitemid 30527712)
69. W.Q. Shen, D. Kondo, L. Dormieux, and J.F. Shao A closed-form three scale model for ductile rocks with a plastically compressible porous matrix Mech. Mater. 59 2013 73 86
70. W.Q. Shen, J.F. Shao, D. Kondo, and B. Gatmiri A micro macro model for clayey rocks with a plastic compressible porous matrix Int. J. Plasticity 36 2012 64 85
71. A. Shojaei, A. Dahi Taleghani, and G. Li A continuum damage failure model for hydraulic fracturing of porous rocks Int. J. Plasticity. 59 2014 199 212
72. A. Shojaei, G.Z. Voyiadjis, and P.J. Tan Viscoplastic constitutive theory for brittle to ductile damage in polycrystalline materials under dynamic loading Int. J. Plasticity. 48 2013 125 151
73. J. Simo, and C. Miehe Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation Comput. Method Appl. M. 98 1992 41 104
74. Sluys, L.J., de Borst, R., 1991. Solutions methods for localization in fracture dynamics. In: Conf. on fracture in concrete, Rock and Ceramics, pp. 661-671.
75. Svedberg, T., 1999. On the modelling and numerics of gradient-regularized plasticity coupled to damage. PhD. Thesis. Chalmers University of Technology. Goteborg, Sweden.
76. T. Svedberg, and K. Runesson A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage Int. J. Plasticity. 13 1997 669 696 (Pubitemid 127420497)
77. R. Tenchev, L. Li, and J. Purkiss Finite element analysis of coupled heat and moisture transfer in concrete subjected to fire Numer. Heat Tr. A-Appl. 39 2001 685 710
78. R. Tenchev, L. Li, and J. Purkiss An application of a damage constitutive model to concrete at high temperature and prediction of spalling Int. J. Solids Struct. 42 2005 6550 6565 (Pubitemid 41455671)
79. T.H. Tran, V. Monchiet, and G. Bonnet A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media Int. J. Solids Struct. 49 2012 783 792
80. F.J. Ulm, and O. Coussy Modeling of thermochemomechanical couplings of concrete at early ages J. Eng. Mech. ASCE. 121 1995 785 794
81. F.J. Ulm, and O. Coussy Strength growth as chemoplastic hardening in early age concrete J. Eng. Mech. ASCE. 122 1996 1123 1132 (Pubitemid 126645722)
82. F.J. Ulm, and O. Coussy The chunnel fire I: chemoplastic softening in rapidly heated concrete J. Eng. Mech.-ASCE. 125 1999 272 289
83. I. Vardoulakis, and E.C. Aifantis A gradient flow theory of plasticity for granular materials Acta Mechanica. 87 1991 197 217 (Pubitemid 21682572)
84. G.Z. Voyiadjis, and D. Faghihi Thermo-mechanical strain gradient plasticity with energetic and dissipative length scales Int. J. Plasticity 31 2012 218 247
85. G.Z. Voyiadjis, A. Shojaei, and G. Li A thermodynamic consistent damage and healing model for self healing materials Int. J. Plasticity 27 2011 1025 1044
86. G.Z. Voyiadjis, A. Shojaei, and G. Li A generalized coupled viscoplastic-viscodamage-viscohealing theory for glassy polymers Int. J. Plasticity 28 2012 21 45
87. Voyiadjis, G.Z., Shojaei, A., Li, G., Kattan, P.I., 2012b. A theory of anisotropic healing and damage mechanics of materials. In: Royal Society A: Mathematical, Physical and Engineering Science, pp. 163-183.
88. S. Vrech, and G. Etse FE approach for thermodynamically consistent gradient-dependent plasticity Latin Am. Appl. Res. 37 2007 127 132
89. S. Vrech, and G. Etse Gradient and fracture energy-based plasticity theory for quasi-brittle materials like concrete Comput. Method Appl. M. 199 2009 136 147
90. K. Willam, and G. Etse Failure assessment of the extended Leon model for plain concrete SCI-C Conf., Zell and See, Austria 1990 Pineridge Press Swansea, UK 851 870
91. Willam, K., Hurbult, B., Sture, S., 1985. Experimental and constitutive aspects of concrete failure. In: US-Japan Seminar on Finite Element Analysis of Reinforced Concrete Structures, pp. 226-254.
92. Willam, K.J., Bicanic, N., Sture, S., 1984. Constitutive and computational aspects of strain-softening and localization in solids. In: Int. Conf. Computer Aided Analysis and Design of Concrete Structures, Swansea, pp. 33-70.
93. J. Wippler, S. Funfschilling, F. Fritzen, T. Bohkle, and M. Hoffmann Homogenization of the thermoelastic properties of silicon nitride Acta Mater. 59 2011 6029 6038
94. N. Xie, Q.Z. Zhu, L.H. Hu, and J.F. Shao A micromechanics-based elastoplastic damage model for quasi-brittle rocks Comput. Geotech. 38 2011 970 977
95. S.Y. Xie, and J.F. Sha Experimental investigation and poroplastic modelling of saturated porous geomaterials Int. J. Plasticity 39 2012 27 45
96. Z. Yin, C.S. Chang, P. Hicher, and M. Karstunen Micromechanical analysis of kinematic hardening in natural clay Int. J. Plasticity. 25 2009 1413 1435
97. M. Zeim, R. Lackner, D. Leithner, and J. Eberhardsteiner Identification of residual gas-transport properties of concrete subjected to high temperatures Cem. Concr. Res. 38 2008 699 716
98. B. Zhang Effects of moisture evaporation (weight loss) on fracture properties of high performance concrete subjected to high temperatures Fire Safety J. 46 2011 543 549
99. B. Zhang, and N. Bicanic Residual fracture toughness of normal- and high-strength gravel concrete after heating to 600°C ACI Mater. J. 99 2002 217 226
100. S. Zhang, W. leng, F. Zhang, and Y. Xiong A simple thermo-elastoplastic model for geomaterials Int. J. Plasticity 34 2012 93 113
101. H. Zhen-jun, and S. Yu-pu Multiaxial tensile-compressive strengths and failure criterion of plain high-performance concrete before and after high temperatures Constr. Build. Mater. 24 2010 498 504
102. Y. Zhou, R. Rajapakse, and J. Graham Coupled heat-moisture-air transfer in deformable unsaturated media J. Eng. Mech.-ASCE 124 1998 1090 1099 (Pubitemid 29040631)
103. Q.Z. Zhu, J.F. Shao, and M. Mainguy A micromechanics-based elastoplastic damage model for granular materials at low confining pressure Int. J. Plasticity. 26 2010 586 602