J2-deformation-type soil model coupled with state-dependent dilatancy and fabric evolution: multiaxial formulation and FEM implementation

Liao, Dong; Yang, Z. X.; Xu, Tingting

doi:10.1016/j.compgeo.2020.103674

Cited by 18 publications

(6 citation statements)

References 54 publications

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“…Updating the stress values in the UMAT subroutine necessitates using different algorithms for the elastic and plastic stages. When the stress lies within the elastic range, the relationship between the stress and strain increments can be expressed as

whereas when the stress is beyond the elastic range

where

[ 24 , 25 ].…”

Section: Methodsmentioning

confidence: 99%

Characterization of Mechanical Heterogeneity in Dissimilar Metal Welded Joints

Xue

Wang

et al. 2021

Materials

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Dissimilar metal welded joints (DMWJs) possess significant localized mechanical heterogeneity. Using finite element software ABAQUS with the User-defined Material (UMAT) subroutine, this study proposed a constitutive equation that may be used to express the heterogeneous mechanical properties of the heat-affected and fusion zones at the interfaces in DMWJs. By eliminating sudden stress changes at the material interfaces, the proposed approach provides a more realistic and accurate characterization of the mechanical heterogeneity in the local regions of DMWJs than existing methods. As such, the proposed approach enables the structural integrity of DMWJs to be analyzed in greater detail.

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whereas when the stress is beyond the elastic range

where

[ 24 , 25 ].…”

Section: Methodsmentioning

confidence: 99%

Characterization of Mechanical Heterogeneity in Dissimilar Metal Welded Joints

Xue

Wang

et al. 2021

Materials

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“…Considering the high nonlinear degree of the elastoplastic process, the Euler integration method has only second-order accuracy [ 32 ], which may result in large error accumulation for the elastoplastic process with a high degree of nonlinearity. Accordingly, we used the substepping method for the constitutive integration of the elastoplastic process, that is, the total elastoplastic strain increment was divided into several sub-increments.…”

Section: Establishing the Constitutive Model Of Pekk Powdersmentioning

confidence: 99%

“…Thus, we applied the stress-explicit integration method. This method can automatically control the error [ 32 , 33 ] and size of the sub-increment step according to the nonlinear degree of the elastoplastic process, taking into account the calculation accuracy and efficiency. The specific analysis is shown in Figure 4 .…”

Section: Establishing the Constitutive Model Of Pekk Powdersmentioning

confidence: 99%

A Density-Dependent Modified Doraivelu Model for the Cold Compaction of Poly (Ether Ketone Ketone) Powders

Wang

et al. 2022

Polymers

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The cold compaction of poly (ether ketone ketone) (PEKK) powder was studied by experiments and simulations based on the modified Doraivelu model. Although this model can successfully predict the compaction behavior of metal powders, discussion of the prediction of polymer powders is lacking. Based on the mechanical theory of metal plasticity, the modified Doraivelu model was established by introducing the material parameters m and n. The modified model can predict the compaction density of PEKK powder during cold compaction. A sub-increment method for this constitutive model was then established and implemented into a finite-element model by using the user-defined material subroutine UMAT in ABAQUS/Standard. Consequently, the material parameters of the modified Doraivelu model were identified by an inverse method using the experimental data and simulation results. It was found that when m = 0, n = 4, and the initial relative density was 0.4485, the simulation results were the closest to the experimental ones.

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“…The mechanical behavior of soil is known to be significantly affected by its state characterized by its density, stress level, and fabric anisotropy 3,4,40–43 . Although the basic hypoplastic model described in Section 2 can reasonably simulate the soil behavior under the combined effect of density and stress level, it does not consider the anisotropic properties of sand.…”

Section: Non‐coaxial Hypoplastic Model For Anisotropic Sandmentioning

confidence: 99%

“…The initial fabric norm ( F 0 ) represents the degree of anisotropy and can be quantified based on advanced microscale testing methods, such as scanning electron microscopy, computed tomography (CT), and micro‐CT. F 0 = 0.4 ∼ 0.5 is generally chosen for sand prepared through the dry‐deposited method, and has been often adopted by some constitutive models 25,26,28–30,38,39,43,51 . The parameter m specifies the evolution rate of the fabric, and the other three parameters e A , λ , and k reflect the effect of fabric anisotropy on the dilatancy, strength, and degree of non‐coaxiality, respectively.…”

Section: Simulation Of Elemental Testsmentioning

confidence: 99%

Non‐coaxial hypoplastic model for sand with evolving fabric anisotropy including non‐proportional loading

Liao

Yang

2021

Num Anal Meth Geomechanics

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Non‐coaxial response refers to the deviation between the directions of the principal stress and plastic strain increment. In this paper, an extended hypoplastic model is proposed based on the anisotropic critical state theory, to describe the non‐coaxial and anisotropic response of sand subjected to both monotonic loading and rotation of principal stress axis. A fabric tensor that characterizes the internal structure of sand is introduced into a hypoplastic model, to reflect the effect of fabric anisotropy on the dilatancy and strength of sand. A Lode‐angle‐dependent hypoplastic potential surface is employed, rendering the flow direction no longer co‐directional with the stress tensor in the deviatoric plane. The fabric tensor is further incorporated into the flow direction, enabling the model to generate a non‐coaxial response. Upon shearing, the fabric evolves toward the loading direction following a properly defined evolution law, and the model response becomes purely coaxial at the critical state when the fabric becomes co‐directional with the loading direction. The tangential loading effect is further introduced to simulate the stiffness degradation of sand during undrained rotational shearing. The model is demonstrated to be capable of simulating the prismatic yet complex anisotropic behavior of sand under both proportional and non‐proportional loading conditions.

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J2-deformation-type soil model coupled with state-dependent dilatancy and fabric evolution: multiaxial formulation and FEM implementation

Cited by 18 publications

References 54 publications

Characterization of Mechanical Heterogeneity in Dissimilar Metal Welded Joints

Characterization of Mechanical Heterogeneity in Dissimilar Metal Welded Joints

A Density-Dependent Modified Doraivelu Model for the Cold Compaction of Poly (Ether Ketone Ketone) Powders

Non‐coaxial hypoplastic model for sand with evolving fabric anisotropy including non‐proportional loading

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