Mechanical behaviors and elastoplastic damage constitutive model for heterogeneous frozen soil

Sayles, 1981, Strength of frozen silt as a function of ice content and dry unit weight, Eng Geol, 18, 55, 10.1016/0013-7952(81)90046-6 Bray, 2012, The influence of cryostructure on the creep behavior of ice-rich permafrost, Cold Reg Sci & Technol, 79–80, 43, 10.1016/j.coldregions.2012.04.003 Bray, 2013, Secondary creep approximations of ice-rich soils and ice using transient relaxation tests, Cold Reg Sci & Technol, 88, 17, 10.1016/j.coldregions.2012.12.011 Radd, 1979, Ice lens structures, compression strengths and creep behavior of some synthetic frozen silty soils, Eng Geol, 13, 169, 10.1016/0013-7952(79)90030-9 Bray, 2006, Further cryostratigraphic observations in the CRREL permafrost tunnel, fox, alaska, Permafr Periglac Process, 17, 233, 10.1002/ppp.558 Chang, 2019, An investigation on the constitutive response of frozen saline coarse sandy soil based on particle breakage and plastic shear mechanisms, Cold Reg Sci & Technol, 159, 94, 10.1016/j.coldregions.2018.12.011 Li, 2004, Effects of temperature, strain rate and dry density on compressive strength of saturated frozen clay, Cold Reg Sci & Technol, 39, 39, 10.1016/j.coldregions.2004.01.001 Ma, 2007, Experimental study on creep of warm and ice-rich frozen soil, Chin J Geotech Eng, 29, 848 Zhao, 2013, Deformation and strength behaviors of frozen clay with thermal gradient under uniaxial compression, Tunn Undergr Space Technol, 38, 550, 10.1016/j.tust.2013.09.003 Liu, 2016, Influence of freeze-thaw cycles on mechanical properties of a silty sand, Eng Geol, 210, 23, 10.1016/j.enggeo.2016.05.019 Xu, 2016, Comparative studies on mechanical behavior of frozen natural saline silty sand and frozen desalted silty sand, Cold Reg Sci & Technol, 132, 81, 10.1016/j.coldregions.2016.09.015 Yamamoto, 2017, Three- and four-point bending tests on artificial frozen soil samples at temperatures close to 0 °C, Cold Reg Sci & Technol, 134, 20, 10.1016/j.coldregions.2016.11.003 Chamberlain, 1972, The mechanical behaviour of frozen earth materials under high pressure triaxial test conditions, Géotechnique, 22, 469, 10.1680/geot.1972.22.3.469 Ghoreishian, 2016, Constitutive model for rate-independent behavior of saturated frozen soils, Can Geotech J, 53, 1646, 10.1139/cgj-2015-0467 Hou, 2018, A creep constitutive model for frozen soils with different contents of coarse grains, Cold Reg Sci & Technol, 145, 119, 10.1016/j.coldregions.2017.10.013 Liu, 2020, Thermo-poromechanics-based viscoplastic damage constitutive model for saturated frozen soil, Int J Plast, 128, 10.1016/j.ijplas.2020.102683 Lai, 2008, Strength distributions of warm frozen clay and its stochastic damage constitutive model, Cold Reg Sci & Technol, 53, 200, 10.1016/j.coldregions.2007.11.001 Li, 2009, An improved statistical damage constitutive model for warm frozen clay based on mohr-coulomb criterion, Cold Reg Sci & Technol, 57, 154, 10.1016/j.coldregions.2009.02.010 Lai, 2009, Yield criterion and elastoplastic damage constitutive model for frozen sandy soil, Int J Plast, 25, 1177, 10.1016/j.ijplas.2008.06.010 Yang, 2010, Experimental and theoretical studies on the creep behavior of warm ice-rich frozen sand, Cold Reg Sci & Technol, 63, 61, 10.1016/j.coldregions.2010.04.011 Shastri, 2021, Mechanical behavior of frozen soils: Experimental investigation and numerical modeling, Comput Geotech, 138, 10.1016/j.compgeo.2021.104361 Torrance, 2007, X-ray computed tomography of frozen soil, Cold Reg Sci & Technol, 53, 75, 10.1016/j.coldregions.2007.04.010 Tracy, 2015, Three-dimensional quantification of soil hydraulic properties using X-ray computed tomography and image-based modeling, Water Resour Res, 51, 1006, 10.1002/2014WR016020 Nishimura, 2009, THM-coupled finite element analysis of frozen soil: Formulation and application, Geotechnique, 59, 159, 10.1680/geot.2009.59.3.159 Zhu, 2019 Lee, 1997, Anisotropic damage mechanics based on strain energy equivalence and equivalent elliptical microcrack, Int J Solids Struct, 34, 4377, 10.1016/S0020-7683(97)00022-X Lemaitre, 2000, Anisotropic damage law of evolution, Eur J Mech A/solids, 19, 187, 10.1016/S0997-7538(00)00161-3 Shi, 2023, Investigation of mechanical properties and elastoplastic numerical calculation model of frozen soil containing ice lenses, Cold Reg Sci & Technol, 210, 10.1016/j.coldregions.2023.103843 Weibull, 1951, A statistical distribution function of wide applicability, J Appl Mech, 18, 293, 10.1115/1.4010337 Krajcinovic, 1982, Statistical aspects of the continuous damage theory, Int J Solids Struct, 18, 551, 10.1016/0020-7683(82)90039-7 Wang, 2006, A damage-softening statistical constitutive model considering rock residual strength, Comput Geosci, 33, 1, 10.1016/j.cageo.2006.02.011 Huang, 2020, Experimental investigation on shear mechanical behavior of sandstone containing a pre-existing flaw under unloading normal stress with constant shear stress, Rock Mech Rock Eng, 53, 3779, 10.1007/s00603-020-02136-w Liu, 2014, Damage and fracture evolution of hydraulic fracturing in compression-shear rock cracks, Theor Appl Fract Mech, 74, 55, 10.1016/j.tafmec.2014.06.013 Badu, 1996, An improved wing crack model for the deformation and failure of rock in compression, Int J Rock Mech Min Sci Geomech Abstr, 33, 539, 10.1016/0148-9062(96)00004-6 Ashby, 1986, The failure of brittle solids containing small cracks under compressive stress states, Acta Metall, 34, 497, 10.1016/0001-6160(86)90086-6 Paul, 1984, Crack extension under compressive loading, Eng Fract Mech, 20, 463, 10.1016/0013-7944(84)90051-1 Li, 2001, The mechanical properties and a fatigue damage model for jointed rock masses subjected to dynamic cyclical loading, Int J Rock Mech Min Sci, 38, 1071, 10.1016/S1365-1609(01)00058-2 Li, 2010 Lemaitre, 1985, A continuous damage mechanics model for ductile fracture, J Eng Mater Technol, 107, 83, 10.1115/1.3225775 Liu, 2016, A dynamic damage constitutive model for a rock mass with non-persistent joints under uniaxial compression, Mech Res Commun, 77, 12, 10.1016/j.mechrescom.2016.08.006 Yao, 2008, A unified constitutive model for both clay and sand with hardening parameter independent on stress path, Comput Geotech, 35, 210, 10.1016/j.compgeo.2007.04.003 Yan, 2011, A model for natural soil with bonds, Géotechnique, 61, 95, 10.1680/geot.8.P.061 Hong, 2016, A two-surface plasticity model for stiff clay, Acta Geotech, 61, 871, 10.1007/s11440-015-0401-0 Shi, 2020, Experimental investigation on shear characteristics of ice–frozen clay interface, Cold Reg Sci & Technol, 176, 10.1016/j.coldregions.2020.103090 Zhang, 2022, Flexural characteristics of artifcial ice in winter sports rinks: experimental study and nondestructive prediction based on surface hardness method, Arch Civ Mech Eng, 67, 1