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New Strain-Energy Based Coupled Elastoplastic Damage-Healing Mechanics Accounting for Matric Suction Effect for Geomaterials

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Handbook of Damage Mechanics

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Abstract

Innovative energy-based coupled elastoplastic hybrid isotropic damage-healing models for partially saturated soils have been developed and implemented for numerical simulation of soil moving processes. A class of elastoplastic constitutive damage-healing models, based on a continuum thermodynamic framework, is proposed within an initial elastic strain energy-based formulation. In particular, change of effective stress due to matric suction is considered, and the governing incremental damage and healing evolutions are coupled and characterized through the effective stress in conjunction with the hypothesis of strain equivalence. Further, plastic flow is introduced by means of an additive split of the stress tensor. Two characteristic energy norms of the tensile and compressive strain tensors, respectively, are introduced for the corresponding damage and healing mechanisms.

By incorporating micromechanics-motivated damage and healing characterizations, the proposed model and computational algorithms have been implemented to demonstrate the significant flexibility on numerical simulation of earth-pushing processes. Completely new computational algorithms are systematically developed based on the two-step operator splitting methodology. The elastic-damage-healing predictor and the plastic corrector are implemented within the existing RKPM (Reproducing Kernel Particle Method) meshfree codes. A numerical example under soil pushing is presented to illustrate the effect of matric suction for partially saturated soils.

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References

  • E.E. Alonso, A. Gens, A. Josa, A constitutive model for partially saturated soils. Geotechnique 40(3), 405–430 (1990)

    Article  Google Scholar 

  • A.W. Bishop, The principle of effective stress. Technisk Ukeflad. 106(39), 859–863 (1959)

    Google Scholar 

  • A.W. Bishop, I. Alpan, G.E. Blight, I.B. Donald, Factors controlling the shear strength of partly saturated cohesive soils, in ASCE Research Conference on Shear Strength of Cohesive Soils, University of Colorado, Boulder, 1960

    Google Scholar 

  • G.E. Blight, Effective stress evaluation for unsaturated soils. ASCE J. Soil Mech. Found. Div. 93(SM2), 125–148 (1967)

    Google Scholar 

  • G. Bolzon, B.A. Schrefler, O.C. Zienkiewicz, Elastoplastic soil constitutive laws generalized to partially saturated states. Geotechnique 46(2), 279–289 (1996)

    Article  Google Scholar 

  • R.I. Borja, Cam-clay plasticity. Part V: a mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media. Comput. Methods Appl. Mech. Eng. 193(48–51), 5301–5338 (2004)

    Article  MATH  Google Scholar 

  • J.S. Chen, Nonlinear Meshfree Analysis Program (NMAP) (University of California, Los Angeles, 2001)

    Google Scholar 

  • J.S. Chen, H.P. Wang, New boundary condition treatments for meshless computation of contact problems. Comput. Methods Appl. Mech. Eng. 187, 441–468 (2000)

    Article  MATH  Google Scholar 

  • J.S. Chen, Y. Wu, Stability in lagrangian and semi-Lagrangian reproducing Kernel discretizations using nodal integration in nonlinear solid mechanics, in Computational Methods in Applied Sciences, ed. by V.M.A. Leitao, C.J.S. Alves, C.A. Duarte (Springer, Dordrecht, 2007), pp. 55–77

    Google Scholar 

  • J.S. Chen, C.T. Wu, S. Yoon, Y. You, A stabilized conforming nodal integration for Galerkin meshfree methods. Int. J. Numer. Methods Eng. 50, 435–466 (2001)

    Article  MATH  Google Scholar 

  • J.S. Chen, Y. Wu, P. Guan, H. Teng, J. Gaidos, K. Hofstetter, M. Alsaleh, A semi-Lagrangian reproducing Kernel formulation for modeling earth moving operations. Mech. Mater. 41, 670–683 (2009)

    Article  Google Scholar 

  • B.D. Coleman, M.E. Gurtin, Thermodynamics with internal state variables. J. Chem. Phys. 47(2), 597–613 (1967)

    Article  Google Scholar 

  • V. Escario, Suction-controlled penetration and shear tests, in Proceedings of the 4th International Conference on Expansive Soils, Denver, 1980, pp. 781–787

    Google Scholar 

  • V. Escario, J. Saez, The shear-strength of partly saturated soils. Geotechnique 36(3), 453–456 (1986)

    Article  Google Scholar 

  • V. Escario, J. Juca, M.S. Coppe, Strength and deformation of partly saturated soils, in Proceedings of the 12th International Conference on Soil Mechanics and Foundation Engineering, vol. 3, Rio de Janeiro, 1989, pp. 43–46

    Google Scholar 

  • D.G. Fredlund, 2nd Canadian geotechnical colloquium – appropriate concepts and technology for unsaturated soils. Can. Geotech. J. 16(1), 121–139 (1979)

    Article  Google Scholar 

  • D.G. Fredlund, N.R. Morgenstern, Stress state variables for unsaturated soils. J. Geotech. Eng. Div. ASCE 104(11), 1415–1416 (1978)

    Google Scholar 

  • D.G. Fredlund, H. Rahardio, Soil Mechanics for Unsaturated Soils (Wiley, New York, 1993)

    Book  Google Scholar 

  • D.G. Fredlund, A.Q. Xing, Equations for the soil-water characteristic curve. Can. Geotech. J. 31(4), 521–532 (1994)

    Article  Google Scholar 

  • D.G. Fredlund, N.R. Morgenstern, R.A. Widger et al., Shear-strength of unsaturated soils. Can. Geotech. J. 15(3), 313–321 (1978)

    Article  Google Scholar 

  • D. Gallipoli, A. Gens, R. Sharma, J. Vaunat, An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour. Geotechnique 53(1), 123–135 (2003a)

    Article  Google Scholar 

  • D. Gallipoli, S.J. Wheeler, M. Karstunen, Modelling the variation of degree of saturation in a deformable unsaturated soil. Geotechnique 53(1), 105–112 (2003b)

    Article  Google Scholar 

  • A. Gens, E.E. Alonso, A framework for the behavior of unsaturated expansive clays. Can. Geotech. J. 29(6), 1013–1032 (1992)

    Article  Google Scholar 

  • K. Georgiadis, D.M. Potts, L. Zdravkovic, Three-dimensional constitutive model for partially and fully saturated soils. Int. J. Geomech. 5(3), 244–255 (2005)

    Article  Google Scholar 

  • J.W. Ju, K.Y. Yuan, New strain energy based coupled elastoplastic two-parameter damage and healing models for earth moving processes. Int. J. Damage Mech. 21(7), 989–1019 (2012)

    Article  Google Scholar 

  • J.W. Ju, K.Y. Yuan, A.W. Kuo, Novel strain energy based coupled elastoplastic damage and healing models for geomaterials – part I: formulations. Int. J. Damage Mech. 21(4), 525–549 (2012a)

    Article  Google Scholar 

  • J.W. Ju, K.Y. Yuan, A.W. Kuo, J.S. Chen, Novel strain energy based coupled elastoplastic damage and healing models for geomaterials – part II: computational aspects. Int. J. Damage Mech. 21(4), 551–576 (2012b)

    Article  Google Scholar 

  • R. Kohler, G. Hofstetter, A cap model for partially saturated soils. Int. J. Numer. Anal. Methods Geomech. 32(8), 981–1004 (2008)

    Article  MATH  Google Scholar 

  • J. Krahn, D.G. Fredlund, Total, matric and osmotic suction. Soil Sci. 114(5), 339–348 (1972)

    Article  Google Scholar 

  • B. Loret, N. Khalili, A three-phase model for unsaturated soils. Int. J. Numer. Anal. Methods Geomech. 24(11), 893–927 (2000)

    Article  MATH  Google Scholar 

  • N. Lu, W. Likos, Unsaturated Soil Mechanics (Wiley, Hoboken, 2004)

    Google Scholar 

  • N. Mitarai, F. Nori, Wet granular materials. Adv. Phys. 55(1–2), 1–45 (2006)

    Article  Google Scholar 

  • J.K. Mitchell, K. Soga, Fundamentals of Soil Behavior, 3rd edn. (Wiley, New York, 2005)

    Google Scholar 

  • A. Murakami, T. Setsuyasu, S. Arimoto, Mesh-free method for soil-water coupled problem within finite strain and its numerical validity. Soils Found. 45(2), 145–154 (2005)

    Google Scholar 

  • T. Nishimura, Y. Murasawa, T. Okami, Estimating air-water hydraulic conductivity using soil-water characteristic curve. Proc. Fourth Int. Conf. Unsatur. Soils Geotech. Spec. Publ. 147(2), 1595–1606 (2006)

    Article  Google Scholar 

  • L. Sanavia, F. Pesavento, B.A. Schrefler, Finite element analysis of non-isothermal multiphase geomaterials with application to strain localization simulation. Comput. Mech. 37(4), 331–348 (2006)

    Article  MATH  Google Scholar 

  • J.C. Simo, J.W. Ju, K.S. Pister, R.L. Taylor, An assessment of the cap model: consistent return algorithms and rate-dependent extension. J. Eng. Mech. ASCE 114(2), 191–218 (1988)

    Article  Google Scholar 

  • S.K. Vanapalli, D.G. Fredlund, Comparison of empirical procedures to predict the shear strength of unsaturated soils using the soil-water characteristic curve, in Advances in Unsaturated Geotechnics, ed. by C.D. Shackelford, N.Y. Chang. GSP No. 99 (ASCE, Reston, 2000), pp. 195–209

    Chapter  Google Scholar 

  • S.K. Vanapalli, D.G. Fredlund, D.E. Pufahl, A.W. Clifton, Model for the prediction of shear strength with respect to soil suction. Can. Geotech. J. 33(3), 379–392 (1996)

    Article  Google Scholar 

  • S.J. Wheeler, V. Sivakumar, An elasto-plastic critical state framework for unsaturated soil. Geotechnique 45(1), 35–53 (1995)

    Article  Google Scholar 

  • S.J. Wheeler, D. Gallipoli, M. Karstunen, Comments on use of the Barcelona basic model for unsaturated soils. Int. J. Numer. Anal. Methods Geomech. 26(15), 1561–1571 (2002)

    Article  MATH  Google Scholar 

  • S.J. Wheeler, R.S. Sharma, M.S.R. Buisson, Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils. Geotechnique 53(1), 41–54 (2003)

    Article  Google Scholar 

  • C.T. Wu, J.S. Chen, L. Chi, F. Huck, Lagrangian meshfree formulation for analysis of geotechnical materials. J. Eng. Mech. 127, 440–449 (2001)

    Article  Google Scholar 

  • C.E. Zapata, W.N. Houston, S.L. Houston, K.D. Walsh, Soil-water characteristic curve variability, in C. D. Shackelford, S. L. Houston, and N. Y. Chang, (eds) Advanced in Unsaturated Geotechnics. ASCE, Reston, VA, 84–124

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of California, 5732 Boelter Hall, Los Angeles, CA, 90095-1593, USA

    K. Y. Yuan & Jiann-Wen Woody Ju

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  1. K. Y. Yuan
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  2. Jiann-Wen Woody Ju
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Correspondence to Jiann-Wen Woody Ju .

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Editors and Affiliations

  1. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, Louisiana, USA

    George Z. Voyiadjis

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Yuan, K.Y., Ju, JW.W. (2015). New Strain-Energy Based Coupled Elastoplastic Damage-Healing Mechanics Accounting for Matric Suction Effect for Geomaterials. In: Voyiadjis, G. (eds) Handbook of Damage Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5589-9_14

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