Skip to main content
Top
Published in: Meccanica 9/2022

01-09-2022

Dynamic constitutive model for unsaturated frozen soil considering the influence of matrix suction

Authors: Hui Qiao, Zhiwu Zhu, Bin Li

Published in: Meccanica | Issue 9/2022

Log in

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

search-config
loading …

Abstract

Uniaxial impact tests were conducted on frozen soil samples with different moisture contents and loading strain rates, using a split Hopkinson pressure bar to obtain the dynamic stress–strain curves of frozen soil. The failure process of ice-cement in frozen soil under impact load, the hardening effect of sealing gas in unfrozen water on frozen soil, and their influences on the elastic, strengthening, and softening sections of frozen soil are discussed herein. A rate-dependent yield surface constitutive model based on plastic flow criterion was established for unsaturated frozen soil under uniaxial impact loading, where damage was modeled by Weibull distribution. Matrix suction was incorporated into the constitutive model to describe the influence of gas on the unsaturated frozen soil. The analysis shows that, with the increase matrix suction value, the influence of matrix suction on soil compressibility decreases gradually. The proposed constitutive model is compared with the experimental results and a good agreement is observed.

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!

Literature
1.
go back to reference French HM, Williams P (2007) The periglacial environment. Wiley, ChichesterCrossRef French HM, Williams P (2007) The periglacial environment. Wiley, ChichesterCrossRef
2.
go back to reference Xu X, Bai R, Lai Y et al (2020) Work conjugate stress and strain variables for unsaturated frozen soils. J Hydrol 582:124537CrossRef Xu X, Bai R, Lai Y et al (2020) Work conjugate stress and strain variables for unsaturated frozen soils. J Hydrol 582:124537CrossRef
3.
go back to reference Kim SY, Hong WT, Lee JS (2018) Silt fraction effects of frozen soils on frozen water content, strength, and stiffness. Constr Build Mater 183:565–577CrossRef Kim SY, Hong WT, Lee JS (2018) Silt fraction effects of frozen soils on frozen water content, strength, and stiffness. Constr Build Mater 183:565–577CrossRef
4.
go back to reference Ning J, He Y, Zhu Z (2014) Dynamic constitutive modeling of frozen soil under impact loading. Chin Sci Bull 59(26):3255–3259CrossRef Ning J, He Y, Zhu Z (2014) Dynamic constitutive modeling of frozen soil under impact loading. Chin Sci Bull 59(26):3255–3259CrossRef
5.
go back to reference Ladanyi B, Morel JF (1990) Effect of internal confinement on compression strength of frozen sand. Can Geotech J 27(1):8–18CrossRef Ladanyi B, Morel JF (1990) Effect of internal confinement on compression strength of frozen sand. Can Geotech J 27(1):8–18CrossRef
6.
go back to reference Kjelstrup S, Amiri SA, Loranger B et al (2021) Transport coefficients and pressure conditions for growth of ice lens in frozen soil. Acta Geotech 16:2231CrossRef Kjelstrup S, Amiri SA, Loranger B et al (2021) Transport coefficients and pressure conditions for growth of ice lens in frozen soil. Acta Geotech 16:2231CrossRef
7.
go back to reference Zhu Y (1987) Creep and strength behavior of frozen silt in uniaxial compression. US Army Corps of Engineers Cold Regions Research & Engineering Laboratory Zhu Y (1987) Creep and strength behavior of frozen silt in uniaxial compression. US Army Corps of Engineers Cold Regions Research & Engineering Laboratory
8.
go back to reference Yang C, He P, Cheng G et al (2006) Uniaxial compressive strength of frozen saline silty clay. Eng Mech 23(1):144–148 Yang C, He P, Cheng G et al (2006) Uniaxial compressive strength of frozen saline silty clay. Eng Mech 23(1):144–148
9.
go back to reference Wei M, Zi W (1993) Strength and yield criteria of frozen soil. J Glaciol Geocryol 15(1):129–133 Wei M, Zi W (1993) Strength and yield criteria of frozen soil. J Glaciol Geocryol 15(1):129–133
10.
go back to reference Haynes F D, Karalius J A, Kalafut J (1975) Strain rate effect on the strength of frozen silt. Cold Regions Research and Engineering Lab Hanover NH Haynes F D, Karalius J A, Kalafut J (1975) Strain rate effect on the strength of frozen silt. Cold Regions Research and Engineering Lab Hanover NH
11.
go back to reference Morgenstern NR (1981) Geotechnical engineering and frontier resource development. Geotechnique 31(3):305–365CrossRef Morgenstern NR (1981) Geotechnical engineering and frontier resource development. Geotechnique 31(3):305–365CrossRef
12.
go back to reference Ping H, Cheng G, Yang C (2002) Analysis of strength of unsaturated frozen soil. J Glaciol Geocryol 24(3):260–263 Ping H, Cheng G, Yang C (2002) Analysis of strength of unsaturated frozen soil. J Glaciol Geocryol 24(3):260–263
13.
go back to reference Yang G, Bai B, Yao X, Chen P (2021) Smoothed particle hydrodynamics for simulation of water vapor migration and phase change in unsaturated frozen soil. Rock Soil Mech 42(1):291–300 Yang G, Bai B, Yao X, Chen P (2021) Smoothed particle hydrodynamics for simulation of water vapor migration and phase change in unsaturated frozen soil. Rock Soil Mech 42(1):291–300
14.
go back to reference Liu Z, Liu J, Li X et al (2018) Effect of capillary cohesion and ice cementation on strength and deformation of unsaturated frozen silty clay. Chin J Rock Mech Eng 37(6):1551–1559 Liu Z, Liu J, Li X et al (2018) Effect of capillary cohesion and ice cementation on strength and deformation of unsaturated frozen silty clay. Chin J Rock Mech Eng 37(6):1551–1559
15.
go back to reference Liu Z, Liu J, Wang B et al (2014) Dynamic characteristics of frozen clay by using SHPB tests. Chin J Geotech Eng 36(3):409–416 Liu Z, Liu J, Wang B et al (2014) Dynamic characteristics of frozen clay by using SHPB tests. Chin J Geotech Eng 36(3):409–416
16.
go back to reference Zhang H, Zhu Z, Song S et al (2013) Dynamic behavior of frozen soil under uniaxial strain and stress conditions. Appl Math Mech 34(2):229–238CrossRef Zhang H, Zhu Z, Song S et al (2013) Dynamic behavior of frozen soil under uniaxial strain and stress conditions. Appl Math Mech 34(2):229–238CrossRef
17.
go back to reference Fu T, Zhu Z, Cao C (2019) Constitutive model of frozen-soil dynamic characteristics under impact loading. Acta Mech 230(5):1869–1889MathSciNetCrossRef Fu T, Zhu Z, Cao C (2019) Constitutive model of frozen-soil dynamic characteristics under impact loading. Acta Mech 230(5):1869–1889MathSciNetCrossRef
18.
go back to reference Zhang F, Zhu Z, Fu T et al (2020) Damage mechanism and dynamic constitutive model of frozen soil under uniaxial impact loading. Mech Mater 140:103217CrossRef Zhang F, Zhu Z, Fu T et al (2020) Damage mechanism and dynamic constitutive model of frozen soil under uniaxial impact loading. Mech Mater 140:103217CrossRef
19.
go back to reference Carras JN, Macklin WC (2010) Air bubbles in accreted ice. Q J R Meteorol Soc 101(427):127–146CrossRef Carras JN, Macklin WC (2010) Air bubbles in accreted ice. Q J R Meteorol Soc 101(427):127–146CrossRef
20.
go back to reference Pei P, Pei Z, Tang Z (2020) Numerical and theoretical analysis of the inertia effects and interfacial friction in SHPB test systems. Materials 13(21):4809CrossRef Pei P, Pei Z, Tang Z (2020) Numerical and theoretical analysis of the inertia effects and interfacial friction in SHPB test systems. Materials 13(21):4809CrossRef
21.
go back to reference Shastri A, Sánchez M, Gai X et al (2021) Mechanical behavior of frozen soils: experimental investigation and numerical modeling. Comput Geotech 138:104361CrossRef Shastri A, Sánchez M, Gai X et al (2021) Mechanical behavior of frozen soils: experimental investigation and numerical modeling. Comput Geotech 138:104361CrossRef
22.
go back to reference Cao D, Zhu H, Wu B et al (2021) Investigating temperature and moisture profiles of seasonally frozen soil under different land covers using actively heated fiber Bragg grating sensors. Eng Geol 290:106197CrossRef Cao D, Zhu H, Wu B et al (2021) Investigating temperature and moisture profiles of seasonally frozen soil under different land covers using actively heated fiber Bragg grating sensors. Eng Geol 290:106197CrossRef
23.
go back to reference Zhang F, Zhu Z, Ma W et al (2021) A unified viscoplastic model and strain rate–temperature equivalence of frozen soil under impact loading. J Mech Phys Solids 152:104413MathSciNetCrossRef Zhang F, Zhu Z, Ma W et al (2021) A unified viscoplastic model and strain rate–temperature equivalence of frozen soil under impact loading. J Mech Phys Solids 152:104413MathSciNetCrossRef
24.
go back to reference Lifshitz J, Leber H (1994) Data processing in the split Hopkinson pressure bar tests. Int J Impact Eng 15(6):723–733CrossRef Lifshitz J, Leber H (1994) Data processing in the split Hopkinson pressure bar tests. Int J Impact Eng 15(6):723–733CrossRef
25.
go back to reference Ma Y, Zhu Z, Ma W et al (2015) Characteristics of stress-strain curves and convergence phenomenon of frozen soil under dynamic loading. Eng Mech 32(10):52–59 Ma Y, Zhu Z, Ma W et al (2015) Characteristics of stress-strain curves and convergence phenomenon of frozen soil under dynamic loading. Eng Mech 32(10):52–59
26.
go back to reference Chen W, Song B (2010) Split Hopkinson (Kolsky) bar: design, testing and applications. Springer, ChamMATH Chen W, Song B (2010) Split Hopkinson (Kolsky) bar: design, testing and applications. Springer, ChamMATH
27.
go back to reference Zhu Z, Fu T, Zhou Z et al (2021) Research on Ottosen constitutive model of frozen soil under impact load. Int J Rock Mech Min Sci 137:104544CrossRef Zhu Z, Fu T, Zhou Z et al (2021) Research on Ottosen constitutive model of frozen soil under impact load. Int J Rock Mech Min Sci 137:104544CrossRef
28.
go back to reference Ming F, Li D, Zhang M et al (2017) A novel method for estimating the elastic modulus of frozen soil. Cold Reg Sci Technol 141:1–7CrossRef Ming F, Li D, Zhang M et al (2017) A novel method for estimating the elastic modulus of frozen soil. Cold Reg Sci Technol 141:1–7CrossRef
29.
go back to reference Lai Y, Long J, Chang X (2009) Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil. Int J Plast 25(6):1177–1205MATHCrossRef Lai Y, Long J, Chang X (2009) Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil. Int J Plast 25(6):1177–1205MATHCrossRef
30.
go back to reference Liu Y, Zhao C, Cai G et al (2011) Constitutive modeling for unsaturated soils considering gas hardening effect. Chin Sci Bull 56(16):1739–1745CrossRef Liu Y, Zhao C, Cai G et al (2011) Constitutive modeling for unsaturated soils considering gas hardening effect. Chin Sci Bull 56(16):1739–1745CrossRef
31.
go back to reference Scanlon BR, Nicot JP, Massmann JW (2002) Soil gas movement in unsaturated systems. Soil Phys Companion 389:297–341 Scanlon BR, Nicot JP, Massmann JW (2002) Soil gas movement in unsaturated systems. Soil Phys Companion 389:297–341
32.
go back to reference Costa YD, Cintra JC, Zornberg JG (2003) Influence of matric suction on the results of plate load tests performed on a lateritic soil deposit. Geotech Test J 26(2):219–227 Costa YD, Cintra JC, Zornberg JG (2003) Influence of matric suction on the results of plate load tests performed on a lateritic soil deposit. Geotech Test J 26(2):219–227
33.
go back to reference Cui K, Défossez P, Cui YJ et al (2010) Quantifying the effect of matric suction on the compressive properties of two agricultural soil using an osmotic oedometer. Geoderma 156(3–4):337–345CrossRef Cui K, Défossez P, Cui YJ et al (2010) Quantifying the effect of matric suction on the compressive properties of two agricultural soil using an osmotic oedometer. Geoderma 156(3–4):337–345CrossRef
34.
go back to reference Arenson LU, Johansen MM, Springman SM (2004) Effects of volumetric ice content and strain rate on shear strength under triaxial conditions for frozen soil samples. Permafrost Periglac Process 15(3):261–271CrossRef Arenson LU, Johansen MM, Springman SM (2004) Effects of volumetric ice content and strain rate on shear strength under triaxial conditions for frozen soil samples. Permafrost Periglac Process 15(3):261–271CrossRef
35.
go back to reference Shazly M, Prakash V, Lerch BA (2009) High strain-rate behavior of ice under uniaxial compression. Int J Solids Struct 46(6):1499–1515MATHCrossRef Shazly M, Prakash V, Lerch BA (2009) High strain-rate behavior of ice under uniaxial compression. Int J Solids Struct 46(6):1499–1515MATHCrossRef
36.
go back to reference Xie Q, Su L, Zhu Z (2020) Dynamic constitutive model of frozen soil that considers the evolution of volume fraction of ice. Sci Rep 10(1):1–11CrossRef Xie Q, Su L, Zhu Z (2020) Dynamic constitutive model of frozen soil that considers the evolution of volume fraction of ice. Sci Rep 10(1):1–11CrossRef
37.
go back to reference Gupta V, Bergström JS (2002) A progressive damage model for failure by shear faulting in polycrystalline ice under biaxial compression. Int J Plast 18(4):507–530MATHCrossRef Gupta V, Bergström JS (2002) A progressive damage model for failure by shear faulting in polycrystalline ice under biaxial compression. Int J Plast 18(4):507–530MATHCrossRef
38.
go back to reference Sheng L, Zhen D (2003) Constitutive model of damage and fracture of ice. J Glaciol Geocryol 25:304–307 Sheng L, Zhen D (2003) Constitutive model of damage and fracture of ice. J Glaciol Geocryol 25:304–307
39.
go back to reference Ashby MF, Hallam SD (1986) The failure of brittle solids containing small cracks under compressive stress states. Acta Metall 34(3):497–510CrossRef Ashby MF, Hallam SD (1986) The failure of brittle solids containing small cracks under compressive stress states. Acta Metall 34(3):497–510CrossRef
40.
go back to reference Sayles FH, Carbee DL (1981) Strength of frozen silt as a function of ice content and dry unit weight. Eng Geol 18(1–4):55–66CrossRef Sayles FH, Carbee DL (1981) Strength of frozen silt as a function of ice content and dry unit weight. Eng Geol 18(1–4):55–66CrossRef
41.
go back to reference Arson C, Pouya A et al (2016) A fully coupled damage-plasticity model for unsaturated geomaterials accounting for the ductile-brittle transition in drying clayey soils. Int J Solids Struct 91:102–114CrossRef Arson C, Pouya A et al (2016) A fully coupled damage-plasticity model for unsaturated geomaterials accounting for the ductile-brittle transition in drying clayey soils. Int J Solids Struct 91:102–114CrossRef
42.
go back to reference Shakiba M, Darabi MK, Abu Al-Rub RK (2016) A thermodynamic framework for constitutive modeling of coupled moisture-mechanical induced damage in partially saturated viscous porous media. Mech Mater 96(5):53–75CrossRef Shakiba M, Darabi MK, Abu Al-Rub RK (2016) A thermodynamic framework for constitutive modeling of coupled moisture-mechanical induced damage in partially saturated viscous porous media. Mech Mater 96(5):53–75CrossRef
43.
go back to reference Alonso E, Gens A et al (1990) Constitutive model for partially saturated soils. Geotechnique 40(3):405–430CrossRef Alonso E, Gens A et al (1990) Constitutive model for partially saturated soils. Geotechnique 40(3):405–430CrossRef
44.
go back to reference De Gennaro V, Pereira JM (2008) Viscoplastic modelling of unsaturated geomaterials. In: Proc. the 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), Goa, India. 2232–2241 De Gennaro V, Pereira JM (2008) Viscoplastic modelling of unsaturated geomaterials. In: Proc. the 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), Goa, India. 2232–2241
45.
46.
go back to reference Birman V, Magid MG (1995) Creep buckling and rupture of columns with arbitrary symmetric cross section. Int J Mech Sci 37(8):831–841MATHCrossRef Birman V, Magid MG (1995) Creep buckling and rupture of columns with arbitrary symmetric cross section. Int J Mech Sci 37(8):831–841MATHCrossRef
47.
go back to reference Zhu Z, Liu Z, Xie Q et al (2018) Dynamic mechanical experiments and microstructure constitutive model of frozen soil with different particle sizes. Int J Damage Mech 27(5):686–706CrossRef Zhu Z, Liu Z, Xie Q et al (2018) Dynamic mechanical experiments and microstructure constitutive model of frozen soil with different particle sizes. Int J Damage Mech 27(5):686–706CrossRef
48.
go back to reference Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 24(10):1642–1693MATHCrossRef Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 24(10):1642–1693MATHCrossRef
49.
go back to reference Colantonio L, Stainier L (1996) Numerical integration of viscoplastic constitutive equations for porous materials[C]. Numerical Methods in Engineering'96 (Paris, 9–13 September 1996). 28–34 Colantonio L, Stainier L (1996) Numerical integration of viscoplastic constitutive equations for porous materials[C]. Numerical Methods in Engineering'96 (Paris, 9–13 September 1996). 28–34
50.
go back to reference Zhi L, Rui G, Guang S (1999) Plastic poissons ratio µp and elastic plastic poissons ratio µep of material. J Plast Eng 6(2):26–29 Zhi L, Rui G, Guang S (1999) Plastic poissons ratio µp and elastic plastic poissons ratio µep of material. J Plast Eng 6(2):26–29
51.
go back to reference Ping H, Cheng G, Zhu Y (1999) Constitutive theories on viscoelastoplasticity and damage of frozen soil. Sci China Ser D Earth Sci 42(1):38–43 Ping H, Cheng G, Zhu Y (1999) Constitutive theories on viscoelastoplasticity and damage of frozen soil. Sci China Ser D Earth Sci 42(1):38–43
52.
go back to reference Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. Trans Asme J Eng Mater Technol 107(1):83–89CrossRef Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. Trans Asme J Eng Mater Technol 107(1):83–89CrossRef
53.
go back to reference Zhu Z, Ning J, Ma W (2010) A constitutive model of frozen soil with damage and numerical simulation for the coupled problem. Sci China Phys Mech Astron 53(4):699–711CrossRef Zhu Z, Ning J, Ma W (2010) A constitutive model of frozen soil with damage and numerical simulation for the coupled problem. Sci China Phys Mech Astron 53(4):699–711CrossRef
54.
go back to reference Feng C, Sheng S, Cun C (2015) Influences of dry density and stress on suction state characteristics of undisturbed unsaturated Loess. Chin J Undergr Space Eng 11(6):1431–1436 Feng C, Sheng S, Cun C (2015) Influences of dry density and stress on suction state characteristics of undisturbed unsaturated Loess. Chin J Undergr Space Eng 11(6):1431–1436
55.
go back to reference Ling X, Zhu Z, Zhang F et al (2009) Dynamic elastic modulus for frozen soil from the embankment on Beiluhe Basin along the Qinghai-Tibet Railway. Cold Reg Sci Technol 57(1):7–12CrossRef Ling X, Zhu Z, Zhang F et al (2009) Dynamic elastic modulus for frozen soil from the embankment on Beiluhe Basin along the Qinghai-Tibet Railway. Cold Reg Sci Technol 57(1):7–12CrossRef
Metadata
Title
Dynamic constitutive model for unsaturated frozen soil considering the influence of matrix suction
Authors
Hui Qiao
Zhiwu Zhu
Bin Li
Publication date
01-09-2022
Publisher
Springer Netherlands
Published in
Meccanica / Issue 9/2022
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-022-01584-8

Other articles of this Issue 9/2022

Meccanica 9/2022 Go to the issue

Premium Partners