An overstress elasto-viscoplasticity model for high/low cyclic strain rates loading conditions: Part I – Formulation and computational aspects

Fincato, Riccardo; Tsutsumi, Sadami

doi:10.1016/j.ijsolstr.2020.10.013

Cited by 14 publications

(4 citation statements)

References 67 publications

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“…In the present work, the modeling framework was applied to a viscoelastic-viscoplastic model that combines the linear isotropic viscoelasticity and the J2 viscoplasticity under isothermal conditions and infinitesimal strain theory, which was widely used in the related literatures. [6][7][8] Even though the adoption of conventional viscoplastic models might lead to an overestimation of the ratcheting behavior in the cyclic mobility problem, 14,15 the conventional viscoelastic-viscoplastic model is used for versatility.…”

Section: Non-updated Temporal Homogenization Formula On a Viscoelasti...mentioning

confidence: 99%

Temporal homogenization formula for viscoelastic–viscoplastic model subjected to local cyclic loading

Lee

Shin

2022

Numerical Meth Engineering

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In this study, a temporal homogenization formula was developed to predict the response fields (i.e., stress, strain, and displacement) of a viscoelastic-viscoplastic model under local cyclic loading. It is the first attempt to apply the temporal homogenization formula of constitutive equations with higher-order differential forms on the viscoelastic-viscoplastic model. The temporal homogenization formula is classified into two types: non-updated temporal homogenization formula and updated temporal homogenization formula. Initial boundary value problem was classified into the global initial boundary value problem and the local initial boundary value problem. To verify this method, two examples were used: (i) when a uniaxial cyclic load is applied to a one-dimensional bar and (ii) when a multiaxial cyclic load is applied to a three-dimensional bar. On comparing the accuracy of the non-updated and the updated temporal homogenization formula, it can be clearly seen that the updated temporal homogenization formula yielded more accurate results.

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Section: Non-updated Temporal Homogenization Formula On a Viscoelasti...mentioning

confidence: 99%

Temporal homogenization formula for viscoelastic–viscoplastic model subjected to local cyclic loading

Lee

Shin

2022

Numerical Meth Engineering

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“…In this study, the similarity-center s of the subloading and the normal-yield surfaces is formulated as shown in Equation (11). On the other hand, it was assumed in the past studies [23][24][25] :…”

Section: Movement Of Similarity-centermentioning

confidence: 99%

“…This model is regarded as the improvement and extension of the past overstress model. [22][23][24][25] In addition, the experiments were conducted for the monotonic and the cyclic loadings under various and variable strain rates using the spheroidal graphite cast iron at high temperature. The viscoplastic deformation analyses were performed to verify the availability of the present subloading-overstress model for the prediction of the monotonic and cyclic viscoplastic behaviors.…”

Section: Introductionmentioning

confidence: 99%

Extended overstress model and its implicit stress integration algorithm: Formulations, experiments, and simulations

Anjiki

Hashiguchi²

2021

Numerical Meth Engineering

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The extended overstress model is formulated based on the subloading surface model with the smooth elastic-inelastic transition, which is called the subloading-overstress model. Therein, the rigorous translation rules of the elastic-core and the similarity-center, the limitation in the expansion of the subloading surface, and so forth are incorporated. The model possesses the basic structure capable of describing the monotonic/cyclic loading behaviors at the general rate of deformations from the quasi-static to the impact loading. The experiments were conducted using the spheroidal graphite cast iron under the various loading conditions. It was verified that the experimental results can be simulated accurately by the subloading-overstress model. Further, the complete implicit stress integration algorithm based on the return-mapping projection is formulated for the present subloading-overstress model and implemented into Abaqus through UMAT. Then, the deformation analyses of the R-notched cylinder were performed by the present algorithm. Consequently, the performability of the present algorithm is verified by the analyses of the boundary-value problem under the cyclic loadings.

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“…e EVP models can be primarily divided into four categories [1]: (1) empirical models, such as primary empirical relations [2,8] and semiempirical secondary relations [9,10]; (2) rheological models, such as di erential approach [11] and engineering theories of creep [12]; (3) general stress-strain-time models, such as overstress models [13,14] and nonstationary ow surface (NSFS) models [15]; (4) other contributions, such as Borja's model [16] and subloading surface model [17]. e rst two categories can help further the phenomenological understanding of the creep properties of soft clay.…”

Section: Introductionmentioning

confidence: 99%

An EVP Double‐Yield Nonstationary Flow Surface Model for Soft Clay

Chang

Wang

2022

Advances in Civil Engineering

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According to experimental findings, soft clay has compression and shear creep. The goal of the study is to develop an elastic-viscoplastic (EVP) model for the viscous behavior of soft clay. The new EVP model is deduced from the associated flow rule, Yin’s double-yield surface theory, and the critical state soil mechanics. The nonstationary flow surface model with double-yield surface, compared to other existing models, considers the compression and shear creep properties of soft clay. The model parameters can be identified from two sorts of tests (i.e., the general triaxial tests and triaxial rheological tests). Different types of soft clay, such as Tianjin Coastal clay, Shantou dredger fill, and silted soil in front of dam, were tested to verify the accuracy of the constructed model. All comparisons of computed and experimental findings revealed that the new EVP model accurately reflected the time-dependent behaviors of soft clay in both shear and compression creep.

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An overstress elasto-viscoplasticity model for high/low cyclic strain rates loading conditions: Part I – Formulation and computational aspects

Cited by 14 publications

References 67 publications

Temporal homogenization formula for viscoelastic–viscoplastic model subjected to local cyclic loading

Temporal homogenization formula for viscoelastic–viscoplastic model subjected to local cyclic loading

Extended overstress model and its implicit stress integration algorithm: Formulations, experiments, and simulations

An EVP Double‐Yield Nonstationary Flow Surface Model for Soft Clay

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