An Improvement of Loading Criterion for Stress Calculation Based on Return-Mapping Scheme for Extended Subloading Surface Plasticity Model

Iguchi, Takuya; Fukuda, Tatsuya; Yamakawa, Yuki; Ikeda, Kiyohiro; Hashiguchi, Koichi

doi:10.2208/jscejam.73.i_363

Cited by 6 publications

(5 citation statements)

References 8 publications

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“…was used by Hashiguchi [30], Hashiguchi and Ueno [39], Iguchi et al [45][46][47], etc., wherê n c of ðc; bÞ oc 0 of ðc; bÞ oc ð26Þ which is the normalized outward-normal of the elastic-core surface at the current elastic-core c. It cannot be applicable to the generic deformation behavior, since it depends only on the unit outward-normal tensors n andn c independent of the size and the shape of the normal-yield surface as seen in the right-hand side of Eq. ( 25).…”

Section: Evolution Rule Of Elastic-corementioning

confidence: 99%

Elaborated subloading surface model for accurate description of cyclic mobility in granular materials

Hashiguchi¹,

Mase

Yamakawa

2021

Acta Geotech.

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The description of the cyclic mobility observed prior to the liquefaction in geomaterials requires the sophisticated constitutive formulation to describe the plastic deformation induced during the cyclic loading with the small stress amplitude inside the yield surface. This requirement is realized in the subloading surface model, in which the surface enclosing a purely elastic domain is not assumed, while a purely elastic domain is assumed in other elastoplasticity models. The subloading surface model has been applied widely to the monotonic/cyclic loading behaviors of metals, soils, rocks, concrete, etc., and the sufficient predictions have been attained to some extent. The subloading surface model will be elaborated so as to predict also the cyclic mobility accurately in this article. First, the rigorous translation rule of the similarity center of the normal yield and the subloading surfaces, i.e., elastic core, is formulated. Further, the mixed hardening rule in terms of volumetric and deviatoric plastic strain rates and the rotational hardening rule are formulated to describe the induced anisotropy of granular materials. In addition, the material functions for the elastic modulus, the yield function and the isotropic hardening/softening will be modified for the accurate description of the cyclic mobility. Then, the validity of the present formulation will be verified through comparisons with various test data of cyclic mobility.

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Section: Evolution Rule Of Elastic-corementioning

confidence: 99%

Elaborated subloading surface model for accurate description of cyclic mobility in granular materials

Hashiguchi¹,

Mase

Yamakawa

2021

Acta Geotech.

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“…In such cases, the loading/unloading criterion (167), merely based on the elastic trial state, may make an incorrect judgment. To overcome this drawback, improved methods of loading/unloading judgment have been developed, 108,109 while not yet implemented to the analysis code used in this study.…”

Section: Elastic Predictor and Loading/unloading Judgmentmentioning

confidence: 99%

Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain

Yamakawa

Hashiguchi

Sasaki

et al. 2021

Num Anal Meth Geomechanics

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This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return-mapping scheme. The Cam-clay plasticity model is adopted as a specific prototype model of geomaterials. As a pertinent representation of deformation-induced anisotropy in geomaterials, nonlinear rotational hardening is incorporated into the model in a theoretically reasonable manner by introducing the dual multiplicative decompositions of the deformation gradient tensor. In addition to the usual decomposition into elastic and plastic parts, the plastic part is decomposed further into a part contributing to the rotational hardening and a remainder part. The former part leads to a back stress ratio tensor related to the rotational hardening via a hyperelastic-type hardening rule. The constitutive theory is thereby formulated on proper intermediate configurations entirely in terms of deformation-like tensorial variables possessing invariance property, without resort to any objective rates of stress or stress-like variables. Combining the Cam-clay plasticity with the concept of subloading surface, a class of unconventional plasticity, enables the model to be capable of reproducing complex hardening/softening accompanied by volumetric contractive/dilative responses.Basic characteristics and predictive capability of the proposed model, as well as the accuracy of the developed numerical scheme, are verified through several numerical examples including monotonic and cyclic loadings. K E Y W O R D Sanisotropy, cam-clay plasticity, finite strain, return-mapping algorithm, rotational hardening, subloading surface conceptThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…Therefore, a particular loading criterion after the elastic trial step and a particular calculation procedure in the initiation of plastic corrector step are required in the return-mapping projection for the subloading surface model. This fact has not been recognized in the past formulations [2,16,28,33,46,90] and the inexact loading criterions after the elastic trial step have been shown in the past [32,49]. The closet point projection in the return-mapping method for the extended subloading surface model was proposed first by Anjiki et al [2] and subsequently Iguchi et al [49] in the multiplicative decomposition and followed the results of Anjiki et al [2] later by Fincato and Tsutsumi [16].…”

Section: Loading Criterion In Return-mapping For Subloading Surface Mmentioning

confidence: 99%

Multiplicative Hyperelastic-Based Plasticity for Finite Elastoplastic Deformation/Sliding: A Comprehensive Review

Hashiguchi

2018

Arch Computat Methods Eng

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Hyperelastic-based plastic constitutive equation based on the multiplicative decomposition of the deformation gradient tensor is reviewed comprehensively and its exact formulation is given for the description of the finite deformation and rotation in this article. Further, it is extended to describe the general loading behavior including the monotonic, the cyclic and the non-proportional loading behaviors by incorporating the rigorous plastic flow rules and the subloading surface model. In addition, it is extended also to the rate-dependency based on the overstress model, and the exact hyperelasticbased plastic constitutive equation of friction is formulated by incorporating the subloading-friction model. They are the exact constitutive equations describing the monotonic and the cyclic loading behavior up to the finite deformation/rotation and the friction behavior under the finite sliding/rotation with the rate-dependency, which have remained to be unsolved for a long time, although they have been required in the history of elastoplasticity theory.

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An Improvement of Loading Criterion for Stress Calculation Based on Return-Mapping Scheme for Extended Subloading Surface Plasticity Model

Cited by 6 publications

References 8 publications

Elaborated subloading surface model for accurate description of cyclic mobility in granular materials

Elaborated subloading surface model for accurate description of cyclic mobility in granular materials

Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain

Multiplicative Hyperelastic-Based Plasticity for Finite Elastoplastic Deformation/Sliding: A Comprehensive Review

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