A thermodynamically consistent framework to derive local/nonlocal generalized nonassociative plasticity/viscoplasticity theories

Darabi, Masoud K.; Al‐Rub, Rashid K. Abu; Omidi, Omid

doi:10.1016/j.ijplas.2018.06.006

Cited by 20 publications

(4 citation statements)

References 91 publications

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“…The advantage of such framework lies in that it can provide a more rigorous basis to constructing constitutive models, and the laws of thermodynamics are enforced directly in this formulation, so that any model defined within this framework will automatically obey these laws . Some recent examples that follow this framework to constructing the constitutive models can be found in previous studies . In this framework, dissipation does not directly correspond to plastic work, as a portion of plastic work is frozen to partly contribute to free energy that can be converted to do work.…”

Section: Rotated Yield Surfacesmentioning

confidence: 99%

“…44 Some recent examples that follow this framework to constructing the constitutive models can be found in previous studies. 33,39,[45][46][47] In this framework, dissipation does not directly correspond to plastic work, as a portion of plastic work is frozen to partly contribute to free energy that can be converted to do work. The locked-in energy is associated with the unrecoverable deformation or plastic strain for simplicity and can be liberated during shearing as plastic deformation occurs.…”

Section: Rotated Yield Surfacesmentioning

confidence: 99%

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A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Chen

Yang

2019

Num Anal Meth Geomechanics

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Summary A bounding surface model is formulated to simulate the behavior of clays that are subject to an anisotropic consolidation stress history. Conventional rotational hardening is revisited from the perspective of thermodynamics. As the free energy cannot be accumulated infinitely upon critical state failure, the deviatoric back stress must vanish. This requires the rotated yield surface to be turned back to eventually align on the hydrostatic axis in the stress plane. Noting that most of the previous propositions violate this restriction, an innovative rotational hardening rule is formulated that is thermodynamically admissible. The bounding surface framework that employs the modified yield surface is applied to simulate elastoplastic deformations for overconsolidated clays, with which the overprediction of strength on the “dry” side can be greatly improved with reasonable results. Other important features, including contractive or dilative response and hardening or softening behavior, can also be well‐captured. It has been shown that the model can simulate three types of reconstituted clays that are sheared with initial conditions over a wide range of anisotropic consolidation stress ratios and overconsolidation ratios under both triaxial undrained and drained conditions. Limitations and potential improvement of the model regarding the fabric anisotropy at critical state have been discussed.

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Section: Rotated Yield Surfacesmentioning

confidence: 99%

Section: Rotated Yield Surfacesmentioning

confidence: 99%

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Chen

Yang

2019

Num Anal Meth Geomechanics

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“…The damage evolution law in their work was proposed according to [26], which was coupled with the viscoplastic internal variable. Additionally, a research group at Texas A&M University developed abundant nonlinear analyses of asphalt mixtures [27][28][29][30][31][32][33][34]. Unlike Zhu's model, they used a Drucker-Prager-type equation to describe both yield surface and viscoplastic potential function but employed different parameters for the two functions to represent the non-associated flow rule for asphalt mixtures.…”

Section: Introductionmentioning

confidence: 99%

Homogenization of the elastic-viscoplastic damage behavior of asphalt mixtures based on the mesomechanical Mori–Tanaka method

Liu

Oeser

2022

Engineering with Computers

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To improve the efficiency and accuracy in characterizing the nonlinear behavior of multi-phased asphalt mixtures and to further facilitate asphalt pavement design based on the nonlinear properties, this study proposes a homogenized method for the elastic-viscoplastic-damage constitutive model. The Drucker–Prager-type yield surfaces and non-association flow rule were employed to describe the viscoplastic strain of asphalt materials. The continuum damage mechanics (CDM) were incorporated to characterize the evolutions of internal micro-cracks or micro-voids in structures. The mesomechanical Mori–Tanaka (MT) method was used to yield the homogenized nonlinear strain components within multi-phase structures. The proposed constitutive model was then implemented in finite element (FE) simulations based on a self-developed subroutine. Several case studies were conducted, in which composite structures with one inclusion were simulated under constant stress and strain loading rate. Amongst the composite structures, the inclusions with various volume contents and shapes were taken into account. In addition, the influence of air voids in structures was considered by defining the zero stiffness for inclusions. The results indicated that the nonlinear behavior of composite with single aggregate or air void can be effectively represented using the proposed method. Furthermore, by coupling the homogenized nonlinear constitutive relation into the locally homogenous model from previous work, not only was the viscoplastic-damage behavior of the composite with multiple inclusions effectively demonstrated by the definition of the nonlinear material, but the internal heterogeneous feature was also precisely represented by the local cells. Therefore, the proposed homogenized method can effectively predict the viscoplastic and damage behavior of asphalt mixtures with various inclusions by simply specifying the parameters in the FE simulations.

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“…The notation used, follows the book of Houlsby and Puzrin (2006), with concepts/terminology discussed in e.g. Collins and Kelly (2002), Collins and Houlsby (1997), Darabi et al (2018) and Osman et al (2020). Small strains are assumed, so additive decomposition of elastic and viscoplastic strains holds.…”

Section: Introductionmentioning

confidence: 99%

Modelling creep in clay using the framework of hyper-viscoplasticity

Grimstad

Dadrasajirlou

Amiri

2020

Géotechnique Letters

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This paper addresses the derivation of creep models using the framework of hyperviscoplasticity. It demonstrates that the formulations widely used already can easily be obtained using the hyper-viscoplastic formalism. This means that existing formulations (i.e. of the flow potential) are thermodynamically sound. The key assumptions are that the free energy is only a function of elastic strains and that there is no dissipation under pure volumetric swelling (tension). The presented derivations, using the framework of hyperviscoplasticity, allows for further model development along the same lines, as presented here, with only minor modifications.

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A thermodynamically consistent framework to derive local/nonlocal generalized nonassociative plasticity/viscoplasticity theories

Cited by 20 publications

References 91 publications

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Homogenization of the elastic-viscoplastic damage behavior of asphalt mixtures based on the mesomechanical Mori–Tanaka method

Modelling creep in clay using the framework of hyper-viscoplasticity

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