Extended paraelasticity and its application to a boundary value problem
Tóm tắt
Paraelasticity (PE) is a hysteretic, fully reversible model with rate-independent damping and with variable secant stiffness. PE has been proposed in the companion paper (Niemunis et al. in Acta Geotech, 2011) for the 3D case. Here, paraelasticity is extended for demanding application in geomechanics by implementation of a reversible dilatancy–contractancy. Moreover, an implicit FE implementation for Abaqus and calculation of a boundary value problem are presented.
Tài liệu tham khảo
Dafalias Y, Manzari M (2004) Simple plasticity sand model accounting for fabric change effects. J Eng Mech 130(6):622–634
Gajo A, Wood DM (1999) Severn trent sand: a kinematic hardening constitutive model: q-p formulation. Géotechnique 49(5):595–614
Niemunis A, Grandas CE, Prada LF (2009) Anisotropic visco-hypoplasticity. Acta Geotech 4(4):293–314
Niemunis A, Prada LF, Grandas CE (2011) Paraelasticity. Acta Geotech. doi:10.1007/s11440-011-0137-4
Niemunis A, Wichtmann T, Triantafyllidis T (2005) A high-cycle accumulation model for sand. Comput Geotech 32(4):245–263
Osinov V (2010) Critical distances for the formation of strong discontinuities in fluid-saturated solids. Arch Appl Mech 80(6):581–592
Prada-Sarmiento LF (2011) Paraelastic description of small-strain soil behaviour. PhD thesis, Karlsruher Institut für Technologie (KIT), Karlsruhe. Heft 173 (in preparation)
Rowe P (1962) The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proc R Soc Lond 269:500–527
Salciarini D, Tamagnini C (2009) A hypoplastic macroelement model for shallow foundations under monotonic and cyclic loads. Acta Geotech 4(3):163–176
Sturm H (2009) Numerical investigation of the stabilisation behaviour of shallow foundations under alternate loading. Acta Geotech 4(4):283–292
Taiebat M, Dafalias Y (2008) Sanisand: Simple anisotropic sand plasticity model. Int J Numer Anal Meth Geomech 32(8):915–948
Wichtmann T, Triantafyllidis T (2010) On the influence of the grain size distribution curve of quartz sand on shear modulus degradation and damping ratio. J Geotech Geoenviron Eng (submitted)
Zytynski M, Randolph MF, Nova R, Wroth CP (1978) On modelling the unloading-reloading behaviour of soils. Int J Numer Anal Methods Geomech 2:87–94