Subloading Surface Model Research Articles

Elastoplastic subloading surface model for clay with isotropic and kinematic mixed hardening parameters : Topolnicki, M Soils FoundV30, N2, June 1990, P103–113

Elastoplastic subloading surface model for clay with isotropic and kinematic mixed hardening parameters : Topolnicki, M Soils FoundV30, N2, June 1990, P103–113

Subloading surface model in unconventional plasticity: Hashiguchi K.Int. J. Solids Struct. 1989 25, (8), 917–945

The present work aims to provide an accurate description of the tensile behavior of the planar as well as low-buckled stanene and to capture their ideal strength in armchair (AC)- and zigzag (ZZ)-directions. For an accurate description of anisotropic response of such hyperelastic materials as stanene, consideration of a highly nonlinear constitutive model in which up to the fourth power of strains is incorporated is inevitable. By utilizing first principles calculations based on density functional theory (DFT), the second, third, fourth, and fifth order elastic moduli tensors corresponding to both planar and low-buckled states are obtained. Moreover, the morphology of the free-standing stanene such as bond length and lattice parameter is determined; for low-buckled stanene two additional parameters, namely, buckling height and dihedral angle are computed. The effects of uniaxial and biaxial loadings germane to AC- and ZZ-directions on the buckling height and dihedral angle are also studied. Scrutinization of the electronic charge distribution reveals the phenomenon of the formation of necking in the Sn-Sn bonds under large uniaxial extension along the AC-direction. Moreover, the transformation of sp3 hybridized orbitals to sp2 hybridized orbitals is examined and confirmed through consideration of the structural geometries of the atomic bond angles.

Prediction of deformation behaviors of sands by the subloading surface model : Proc International Workshop on Constitutive Equations for Granular Non-Cohesive Soils, Cleveland, 22–24 July 1987P293–306. Publ Rotterdam: A A Balkema, 1989

Prediction of deformation behaviors of sands by the subloading surface model : Proc International Workshop on Constitutive Equations for Granular Non-Cohesive Soils, Cleveland, 22–24 July 1987P293–306. Publ Rotterdam: A A Balkema, 1989

Subloading surface model in unconventional plasticity

For engineering problems, the elastoplastic constitutive model has been required, which is applicable to the prediction of cyclic loading behavior for various stress/strain amplitudes. The subloading surface model has been proposed and developed in order to respond to this requirement. he original subloading surface model (or the bounding surface model with a radial mapping) does not assume a yield surface enclosing an elastic domain in which stress rates of any direction do not induce a plastic deformation. Instead, it assumes a normal-yield (or bounding) surface and a subloading surface which always passes through a current stress point in not only loading but also unloading states retaining a geometrical similarity to the normal-yield surface. Thus, it describes a continuous stress rate-strain rate relation in a loading process, bringing about a smooth elastic-plastic transition, and its loading criterion does not require the judgement whether a current stress lies on a yield surface or not. It cannot, however, describe reasonably an induced anisotropy and a hysteresis behavior for a stress change within the normal-yield surface, since the center of similarity of normal-yield and subloading surfaces is fixed or the translation rule is not formulated reasonably. In this paper an exact formulation of this model is presented by deriving a translation rule of the center of similarity and a consistency condition for the subloading surface and by examining the physical meaning of the loading criterion in terms of a strain rate and the associated flow rule concurrently for materials with an anisotropic hardening/softening and without an clastic domain. It is capable of describing an anisotropic hardening/softening, a smooth elastic-plastic transition and a hysteresis behavior including Masing effect, a closed hysteresis loop and a mechanical ratchetting effect consistently. This model is described for metals and is compared with test data of the torsional cyclic loading behavior of stainless steel.