4.6 Article

Nanoscale mechanisms for high-pressure mechanochemistry: a phase field study

期刊

JOURNAL OF MATERIALS SCIENCE
卷 53, 期 19, 页码 13343-13363

出版社

SPRINGER
DOI: 10.1007/s10853-018-2175-x

关键词

-

资金

  1. NSF [CMMI-1536925, DMR-1434613]
  2. ARO [W911NF-17-1-0225]
  3. ONR [N00014-16-1-2079]
  4. Iowa State University (Vance Coffman Faculty Chair Professorship)
  5. Isfahan University of Technology
  6. Division Of Materials Research
  7. Direct For Mathematical & Physical Scien [1434613] Funding Source: National Science Foundation

向作者/读者索取更多资源

Coupled evolution of a high-pressure phase (HPP) and dislocations, including dislocation pileups and dislocations generated due to phase transformation (PT), under compression and shear of a nanograined bicrystal, is considered as a model for high-pressure mechanochemistry. Recently developed phase field approach for the interaction between PTs and dislocations at large strains and a finite element analysis are utilized. Periodic boundary conditions for displacements are applied to the lateral surfaces. It is confirmed that the shear-induced dislocation pileups may reduce the PT pressure by an order of magnitude in comparison with hydrostatic loading, and even below phase equilibrium pressure, as it was observed in some experiments. In contrast to the formulation with boundary conditions for lateral stresses, which do not exhibit the sample size effect, periodic boundary conditions lead to some suppression of PT with decreased grain and sample sizes. The local transformation work-based phase equilibrium condition is met for most of the points of the stationary phase interfaces. The interface configurations also correspond in the most cases to the constant pressure contour but with different values for different loadings. Rarely, the same is true for the constant shear stress contours. Similar phase equilibrium conditions are satisfied for the transformation work expressed in terms of stresses averaged over the transformed grain and HPP. These conditions can be used to scale up results of the nanoscale studies to the coarse-grained microscale theory. During unloading, the PT, dislocations, and plastic shear are fully reversible. Even if one pins all the dislocations before unloading starts, still the entire HPP returns back. Thus, problem with modeling metastability of the HPPs still remains open. Obtained results are applicable for interpretation of experiments on high-pressure torsion with diamond or ceramic anvils, friction, surface processing, and probably on ball milling.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.6
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Thermodynamics

Finite element implementation based on explicit, Galerkin and Crank-Nicolson methods to phase field theory for thermal- and surface- induced martensitic phase transformations

Mahdi Javanbakht, Hossein Rahbar, Milad Ashourian

Summary: In this paper, a nonlinear finite element approach is used to solve the time-dependent phase field or Ginzburg-Landau (GL) equation for phase transformations (PTs) at the nanoscale. The derived finite element formulation considers both the isolated and variable surface energy boundary conditions, allowing for surface-induced phenomena. Different time discretization methods are compared for computational efficiency, and both the exact and numerical approaches are used to calculate the tangential matrix for the unknown order parameter. The developed algorithm and code are verified with specific examples and proved to be effective for solving complex phase field problems at the nanoscale.

CONTINUUM MECHANICS AND THERMODYNAMICS (2022)

Article Thermodynamics

A comparative study of 1D nonlocal integral Timoshenko beam and 2D nonlocal integral elasticity theories for bending of nanoscale beams

Hooman Danesh, Mahdi Javanbakht, Mohammad Mohammadi Aghdam

Summary: In this study, the bending behavior of nanoscale beams was investigated using the 1D nonlocal integral Timoshenko beam theory and the 2D nonlocal integral elasticity theory. Two types of nonlocal kernels were utilized, and the governing equations were solved using the finite element method and the COMSOL code. The results revealed the main differences and similarities between the two theories at the nanoscale. The findings can be applied to the modeling of beam problems with nonlocal effects at the nanoscale.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

Article Thermodynamics

Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions

Hooman Danesh, Mahdi Javanbakht, Emilio Barchiesi, Nahiene Hamila

Summary: In this paper, the authors use coupled phase field and local/nonlocal integral elasticity theories to investigate stress-induced martensitic phase transformations at the nanoscale. They focus on the limitations and contradictions of nonlocal integral elasticity caused by the boundary effect. They introduce a new nonlocal kernel, called the compensated two-phase kernel, to address this issue. Numerical experiments show that the compensated two-phase kernel produces similar results to local elasticity, while other nonlocal kernels fail to overcome the problem. The study also reveals that symmetrical models are not suitable for nonlocal integral elasticity-based phase field simulations. Overall, this research is important for better understanding nonlocal elasticity-based phase field problems.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

Article Materials Science, Multidisciplinary

Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory

Hooman Danesh, Mahdi Javanbakht

Summary: This study investigates the free vibration behavior of nonlocal nanobeams using different kernel theories, finding a softening effect of the nonlocal parameter on natural frequencies. The 2D-NIET theory is more sensitive to the nonlocal parameter compared to NITBT.

MATHEMATICS AND MECHANICS OF SOLIDS (2022)

Article Materials Science, Multidisciplinary

Thermodynamically consistent nonlocal kernel with boundary effect compensation and its application to the coupled phase field-nonlocal integral elasticity equations for modeling of martensitic transformations

Hooman Danesh, Mahdi Javanbakht

Summary: In this study, the thermodynamically consistent compensated two-phase (CTP) kernel is used for modeling stress-induced martensitic transformations through nonlocal integral elasticity. The advantages of the CTP kernel over previous kernels are demonstrated by solving the coupled Ginzburg-Landau and local/nonlocal elasticity equations. The study shows that the CTP kernel does not suffer from the numerical convergence issues of previous kernels, providing a better insight into its application at the nanoscale.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2022)

Article Computer Science, Interdisciplinary Applications

Local vs. nonlocal integral elasticity-based phase field models including surface tension and simulations of single and two variant martensitic transformations and twinning

Mahdi Javanbakht, Sam Mirzakhani, Mohammad Silani

Summary: This paper investigates single and two variant martensitic transformations, including twinning, using the phase field approach. The study compares the local and nonlocal models with different kernels and analyzes various phase transformation examples. The results show that the compensated TP kernel (CTP) performs better than the well-known two-phase (TP) kernel and the local model in resolving certain issues.

ENGINEERING WITH COMPUTERS (2023)

Article Polymer Science

Experimental and computational study of the thermal conductivity of polymeric micro spheres/polyester thermal insulating coatings

Parisa Niazi, Mahdi Javanbakht, Mehdi Karevan, Mohammad Reza Tavakoli

Summary: In this study, hollow glass microspheres (HGMs) were used as fillers to enhance the thermal properties of polyester resin. Experimental and numerical results showed that the thermal conductivity coefficient decreases with increasing HGM weight fraction, while the size and distribution of HGMs have no practical effect on the conductivity coefficient. Additionally, using the constant specific heat capacity and thermal conductivity coefficient of the matrix showed better agreement with the experiment results.

POLYMER BULLETIN (2023)

Editorial Material Thermodynamics

On the occasion of the anniversary of Professor Vladimir An. Levin

Francesco Dell'Isola, Valery I. Levitas, Valery P. Matveenko

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

Article Engineering, Multidisciplinary

Phase field theory for fracture at large strains including surface stresses

Hossein Jafarzadeh, Gholam Hossein Farrahi, Valery I. Levitas, Mahdi Javanbakht

Summary: Phase field theory for fracture is developed at large strains with a correct introduction of surface stresses at nanoscale. The expression for surface stresses is consistent with the sharp surface approach and is a result of geometric nonlinearities. The study provides important connections between material parameters and presents a complete system of equations in both deformed and undeformed configurations.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2022)

Article Nanoscience & Nanotechnology

Surface induced melting of long Al nanowires: phase field model and simulations for pressure loading and without it

Mahdi Javanbakht, Shekoofeh Salehi Eskandari, Mohammad Silani

Summary: In this study, the melting of long Al nanowires is investigated using a phase field model. The coupled system of equations including the Ginzburg-Landau equation for solidification/melting transformation, the kinetic equation for deviatoric transformation strain, and the elasticity equations are solved to obtain the evolution of the melt solution. The results provide insights into the premelting and melting processes of metallic nanowires under different loading conditions and structural defects.

NANOTECHNOLOGY (2022)

Article Materials Science, Multidisciplinary

Athermal resistance to phase interface motion due to precipitates: A phase field study

Mahdi Javanbakht, Valery Levitas

Summary: This study investigates the athermal resistance to the motion of a phase interface caused by a precipitate. The coupled phase field and elasticity equations are solved to analyze the phase transformation process. The presence of precipitates leads to a significant difference in critical thermal driving forces between the direct and reverse phase transformations, resulting in hysteresis behavior. The critical thermal driving force increases with the precipitate concentration for both direct and reverse phase transformations, similar to the effect of solute atoms on athermal friction. Changes in the precipitate surface energy significantly affect the phase transformation morphology and critical thermal driving forces. The obtained results provide a better understanding of the athermal friction mechanism for phase interfaces at the nanoscale.

ACTA MATERIALIA (2023)

Article Thermodynamics

A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains

Anup Basak, Valery I. Levitas

Summary: This paper revisits the nanoscale multiphase phase-field model for stress and temperature-induced multivariant martensitic transformation under large strains developed by the authors. It resolves the issues related to the gradient energy and coupled kinetic equations and develops a thermodynamically consistent model. The model considers N + 1 order parameters to describe austenite and N martensitic variants, taking into account the energies of the interfaces and a kinetic relationship for the rate of the order parameters. A large strain-based finite element method is used to simulate a 3D complex twins within twins microstructure, and a comparative study is presented.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

Article Materials Science, Multidisciplinary

Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study

Ensiye Bakhtiyari, Mahdi Javanbakht, Mohsen Asle Zaeem

Summary: A phase-field approach is used to examine the evolution of edge dislocations in single crystals at the nanoscale. The research investigates the characteristics of an advanced phase-field approach for dislocation evolution and makes advancements to improve its accuracy. The model and numerical procedure are verified through calculations that demonstrate good agreement with existing theoretical solutions. The study also explores different methods to prevent dislocation widening and investigates the sample size effect on dislocation evolution.

MATHEMATICS AND MECHANICS OF SOLIDS (2023)

Article Thermodynamics

Investigating the effect of nanovoid inelastic surface stress and the austenite-martensite interface inelastic stress on the martensitic growth at the nanovoid surface

Alireza Fallahnejad, Emilio Barchiesi, Mahdi Javanbakht, Ali Akbar Sharif Nami

Summary: In this paper, the effects of nanovoid inelastic surface stress and A-M interface inelastic stress on martensitic growth at the nanovoid surface were investigated. The phase field approach was used to generate a nanovoid and capture the evolution of martensite. The results showed that the nanovoid changed the morphology and decreased the transformation rate, and both the AM interface and nanovoid inelastic surface stresses decreased the transformation rate.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

Article Multidisciplinary Sciences

Tensorial stress-plastic strain fields in α - ω Zr mixture, transformation kinetics, and friction in diamond-anvil cell

Valery I. Levitas, Achyut Dhar, K. K. Pandey

Summary: This study investigates the effects of stress and plastic strain tensors on various phenomena under high pressures in diamond-anvil cells. The authors suggest a coupled experimental-analytical-computational approach to measure these tensors and friction rules in the material using synchrotron X-ray diffraction. The results are in good agreement with experiments and open opportunities for quantitative high-pressure/stress science.

NATURE COMMUNICATIONS (2023)

暂无数据