Is an additive decomposition of a rate of deformation and objective stress rates passé?

Jiao, Yang; Fish, Jacob

doi:10.1016/j.cma.2017.07.021

Cited by 34 publications

(9 citation statements)

References 71 publications

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“…The mechanical properties required could be determined using accepted standard measurement and assays, which define the material behavior with respect to its resistance to load. Large strain plasticity, as observed in various materials, is one of the well-known phenomena requiring combined geometric and material nonlinear analysis of solids [ 37 , 38 ]. Additionally, each one of these responses may be defined in relation to the loading mode: tension, compression, flexure, shear, or torsion [ 39 ], which depends on the way that the component carries out the loads.…”

Section: Resultsmentioning

confidence: 99%

Manufacturing and Application of 3D Printed Photo Fenton Reactors for Wastewater Treatment

Esfahani

Zandi

Travieso-Rodríguez

et al. 2021

IJERPH

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Additive manufacturing (AM) or 3D printing offers a new paradigm for designing and developing chemical reactors, in particular, prototypes. The use of 3D printers has been increasing, their performance has been improving, and their price has been reducing. While the general trend is clear, particular applications need to be assessed for their practicality. This study develops and follows a systematic approach to the prototyping of Advanced Oxidation Processes (AOP) reactors. Specifically, this work evaluates and discusses different printable materials in terms of mechanical and chemical resistance to photo-Fenton reactants. Metallic and ceramic materials are shown to be impracticable due to their high printing cost. Polymeric and composite materials are sieved according to criteria such as biodegradability, chemical, thermal, and mechanical resistance. Finally, 3D-printed prototypes are produced and tested in terms of leakage and resistance to the photo-Fenton reacting environment. Polylactic acid (PLA) and wood–PLA composite (Timberfill®) were selected, and lab-scale raceway pond reactors (RPR) were printed accordingly. They were next exposed to H2O2/Fe(II) solutions at pH = 3 ± 0.2 and UV radiation. After 48 h reaction tests, results revealed that the Timberfill® reactor produced higher Total Organic Carbon (TOC) concentrations (9.6 mg·L−1) than that obtained for the PLA reactor (5.5 mg·L−1) and Pyrex® reactor (5.2 mg·L−1), which suggests the interference of Timberfill® with the reaction. The work also considers and discusses further chemical and mechanical criteria that also favor PLA for 3D-printing Fenton and photo-Fenton reactors. Finally, the work also provides a detailed explanation of the printing parameters used and guidelines for preparing prototypes.

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Section: Resultsmentioning

confidence: 99%

Manufacturing and Application of 3D Printed Photo Fenton Reactors for Wastewater Treatment

Esfahani

Zandi

Travieso-Rodríguez

et al. 2021

IJERPH

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“…Therefore, a logarithmic corotational derivative without this drawback was developed [62,71,72]. However, in [63,73], one can find examples that illustrate the difficulties which can be encountered in modeling the multistage deformation processes (including unloading): if the purely elastic cyclic loading is realized upon completion of elastoplastic deformation and unloading, then the stress hysteresis will be observed. In [73,74], the logarithmic spin, called the kinetic logarithmic spin (k-logspin), was improved.…”

Section: Analysis Of the Formulations With An Emphasis On Describing Geometric Nonlinearity And Fulfillment Of Thermodynamic Constraintsmentioning

confidence: 99%

“…However, in [63,73], one can find examples that illustrate the difficulties which can be encountered in modeling the multistage deformation processes (including unloading): if the purely elastic cyclic loading is realized upon completion of elastoplastic deformation and unloading, then the stress hysteresis will be observed. In [73,74], the logarithmic spin, called the kinetic logarithmic spin (k-logspin), was improved. The modernized spin makes it possible to meet the conservation conditions in the simulation of multi-stage deformation processes, including unloading, but the consideration is limited to anisotropic material.…”

Section: Analysis Of the Formulations With An Emphasis On Describing Geometric Nonlinearity And Fulfillment Of Thermodynamic Constraintsmentioning

confidence: 99%

Some Issues on Crystal Plasticity Models Formulation: Motion Decomposition and Constitutive Law Variants

2021

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In this paper, kinematic relations and constitutive laws in crystal plasticity are analyzed in the context of geometric nonlinearity description and fulfillment of thermodynamic requirements in the case of elastic deformation. We consider the most popular relations: in finite form, written in terms of the unloaded configuration, and in rate form, written in terms of the current configuration. The presence of a corotational derivative in the relations formulated in terms of the current configuration testifies to the fact that the model is based on the decomposition of motion into the deformation motion and the rigid motion of a moving coordinate system, and precisely the stress rate with respect to this coordinate system is associated with the strain rate. We also examine the relations of the mesolevel model with an explicit separation of a moving coordinate system and the elastic distortion of crystallites relative to it in the deformation gradient. These relations are compared with the above formulations, which makes it possible to determine how close they are. The results of the performed analytical calculations show the equivalence or similarity (in the sense of the response determined under the same influences) of the formulation and are supported by the results of numerical calculation. It is shown that the formulation based on the decomposition of motion with an explicit separation of the moving coordinate system motion provides a theoretical framework for the transition to a similar formulation in rate form written in terms of the current configuration. The formulation of this kind is preferable for the numerical solution of boundary value problems (in a case when the current configuration and, consequently, contact boundaries, are not known a priori) used to model the technological treatment processes.

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“…Two recent works from Jiao and Fish [16,17] investigated extensively the role of the co-rotational framework, pointing out the drawbacks of the most common objective stress rates (i.e. Jaumann, Green-Naghdi and logarithmic).…”

Section: Kinematic Frameworkmentioning

confidence: 99%

Fully implicit numerical integration of the Yoshida-Uemori two-surface plasticity model with isotropic hardening stagnation

Fincato

Tsutsumi

Zilio

et al. 2021

Frattura Ed Integrità Strutturale

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The paper deals with the numerical investigation and implementation of the two-surface plasticity model (or bounding surface model). This plasticity theory allows to describe the deformation behavior under large strain cyclic plasticity and the material stress-strain responses at small-scale re-yielding after large pre-straining. A novel strategy to model the isotropic hardening stagnation is developed within a fully implicit integration scheme in order to speed up the computation and to improve the material description.

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Is an additive decomposition of a rate of deformation and objective stress rates passé?

Cited by 34 publications

References 71 publications

Manufacturing and Application of 3D Printed Photo Fenton Reactors for Wastewater Treatment

Manufacturing and Application of 3D Printed Photo Fenton Reactors for Wastewater Treatment

Some Issues on Crystal Plasticity Models Formulation: Motion Decomposition and Constitutive Law Variants

Fully implicit numerical integration of the Yoshida-Uemori two-surface plasticity model with isotropic hardening stagnation

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