48 citations · 215 across the 26 of their papers we have counts for
27 papers
A General Return-Mapping Framework for Fractional Visco-Elasto-Plasticity
Jorge L. Suzuki, Maryam Naghibolhosseini, Mohsen Zayernouri
We develop a fractional return-mapping framework for power-law visco-elasto-plasticity. In our approach, the fractional viscoelasticity is accounted through canonical combinations…
Nonlocal Machine Learning of Micro-Structural Defect Evolutions in Crystalline Materials
Eduardo Augusto Barros de Moraes, Marta D'Elia, Mohsen Zayernouri
The presence and evolution of defects that appear in the manufacturing process play a vital role in the failure mechanisms of engineering materials. In particular, the collective b…
Dynamic Nonlocal Passive Scalar Subgrid-Scale Turbulence Modeling
S. Hadi Seyedi, Ali Akhavan-Safaei, Mohsen Zayernouri
Extensive experimental evidence highlight that scalar turbulence exhibits anomalous diffusion and stronger intermittency levels at small scales compared to that in fluid turbulence…
A data-driven dynamic nonlocal subgrid-scale model for turbulent flows
S. Hadi Seyedi, Mohsen Zayernouri
We developed a novel autonomously dynamic nonlocal turbulence model for the large and very large eddy simulation (LES, VLES) of the homogeneous isotropic turbulent flows (HIT). The…
A Nonlocal Spectral Transfer Model and New Scaling Law for Scalar Turbulence
Ali Akhavan-Safaei, Mohsen Zayernouri
In this study, we revisit the spectral transfer model for the turbulent intensity in the passive scalar transport (under large-scale anisotropic forcing), and a subsequent modifica…
Fractional Modeling in Action: A Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials
Jorge Suzuki, Mamikon Gulian, Mohsen Zayernouri +1
Modeling of phenomena such as anomalous transport via fractional-order differential equations has been established as an effective alternative to partial differential equations, du…
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue
Jorge L. Suzuki, Tyler G. Tuttle, Sara Roccabianca +1
We introduce a data-driven fractional modeling framework aimed at complex materials, and particularly bio-tissues. From multi-step relaxation experiments of distinct anatomical loc…
Tempered Fractional LES Modeling
Mehdi Samiee, Ali Akhavan-Safaei, Mohsen Zayernouri
The presence of nonlocal interactions and intermittent signals in the homogeneous isotropic turbulence grant multi-point statistical functions a key role in formulating a new gener…
Atomistic-to-Meso Multi-Scale Data-Driven Graph Surrogate Modeling of Dislocation Glide
Eduardo A. Barros de Moraes, Jorge L. Suzuki, Mohsen Zayernouri
From their birth in the manufacturing process, materials inherently contain defects that affect the mechanical behavior across multiple length and time-scales, including vacancies,…
A Parallel Integrated Computational-Statistical Platform for Turbulent Transport Phenomena
Ali Akhavan-Safaei, Mohsen Zayernouri
In this paper, we present an open-source, automated, and multi-faceted computational-statistical platform to obtain synthetic homogeneous isotropic turbulent flow and passive scala…
Data-Driven Fractional Subgrid-scale Modeling for Scalar Turbulence: A Nonlocal LES Approach
Ali Akhavan-Safaei, Mehdi Samiee, Mohsen Zayernouri
Filtering the passive scalar transport equation in the large-eddy simulation (LES) of turbulent transport gives rise to the closure term corresponding to the unresolved scalar flux…
Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures
Jorge L. Suzuki, Pegah Varghaei, Ehsan Kharazmi +1
Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate…
Anomalous Features in Internal Cylinder Flow Instabilities subject to Uncertain Rotational Effects
Ali Akhavan-Safaei, S. Hadi Seyedi, Mohsen Zayernouri
We study the flow dynamics inside a high-speed rotating cylinder after introducing strong symmetry-breaking disturbance factors at cylinder wall motion. We propose and formulate a…
Data-Driven Failure Prediction in Brittle Materials: A Phase-Field Based Machine Learning Framework
Eduardo A. Barros de Moraes, Hadi Salehi, Mohsen Zayernouri
Failure in brittle materials led by the evolution of micro- to macro-cracks under repetitive or increasing loads is often catastrophic with no significant plasticity to advert the…
A Thermodynamically Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials
Jorge L. Suzuki, Yongtao Zhou, Marta D'Elia +1
We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements fo…
A Fractional Subgrid-scale Model for Turbulent Flows: Theoretical Formulation and a Priori Study
Mehdi Samiee, Ali Akhavan-Safaei, Mohsen Zayernouri
Coherent structures/motions in turbulence inherently give rise to intermittent signals with sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting…
Fast IMEX Time Integration of Nonlinear Stiff Fractional Differential Equations
Yongtao Zhou, Jorge L. Suzuki, Chengjian Zhang +1
Efficient long-time integration of nonlinear fractional differential equations is significantly challenging due to the integro-differential nature of the fractional operators. In a…
Vibration Analysis of Geometrically Nonlinear and Fractional Viscoelastic Cantilever Beams
Pegah Varghaei, Ehsan Kharazmi, Jorge L. Suzuki +1
We investigate the nonlinear vibration of a fractional viscoelastic cantilever beam, subject to base excitation, where the viscoelasticity takes the general form of a distributed-o…
An Automated Singularity-Capturing Scheme for Fractional Differential Equations
Jorge L. Suzuki, Mohsen Zayernouri
Solutions to fractional models inherently exhibit non-smooth behavior, which significantly deteriorates the accuracy and therefore efficiency of existing numerical methods. We deve…
Fractional Sensitivity Equation Method: Applications to Fractional Model Construction
Ehsan Kharazmi, Mohsen Zayernouri
Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model para…
Operator-Based Uncertainty Quantification of Stochastic Fractional PDEs
Ehsan Kharazmi, Mohsen Zayernouri
Fractional calculus provides a rigorous mathematical framework to describe anomalous stochastic processes by generalizing the notion of classical differential equations to their fr…
Petrov-Galerkin Method for Fully Distributed-Order Fractional Partial Differential Equations
Mehdi Samiee, Ehsan Kharazmi, Mohsen Zayernouri +1
Distributed-order PDEs are tractable mathematical models for complex multiscaling anomalous transport, where derivative orders are distributed over a range of values. We develop a…
A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver
M. Samiee, M. Zayernouri. Mark M. Meerschaert
We develop a unified Petrov-Galerkin spectral method for a class of fractional partial differential equations with two-sided derivatives and constant coefficients of the form $ _{0…
A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
We present the stability and error analysis of the unified Petrov-Galerkin spectral method, developed in \cite{samiee2017Unified}, for linear fractional partial differential equati…