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In this paper, we theoretically analyse wave propagation in two canonical problems of interest: fluid-filled thermo-visco-elastic slits and fluid-loaded thermo-visco-elastic plates. We show that these two configurations can be studied via…

Fluid Dynamics · Physics 2024-03-19 Erik García Neefjes , David Nigro , Raphaël C. Assier , William J. Parnell

In this paper we present a fully-coupled, two-scale homogenization method for dynamic loading in the spirit of FE$^2$ methods. The framework considers the balance of linear momentum including inertia at the microscale to capture possible…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Erik Tamsen , Daniel Balzani

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

In solid mechanics, Data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and high dependence on training data. However,…

Soft Condensed Matter · Physics 2020-11-23 Aref Ghaderi , Vahid Morovati , Roozbeh Dargazany

In this study, viscoelastic properties of polymeric composites were investigated through a non-destructive test (NDT) method based on longitudinal free vibration. First, three different polyester composites reinforced separately with…

Materials Science · Physics 2015-11-17 Mohammad Mehdi Jalili , Amir Soheil Pirayeshfar , Seyyed Yahya Mousavi

In this paper, we present a deep learning-based reduced-order model (DL-ROM) for the stability prediction of unsteady 3D fluid-structure interaction systems. The proposed DL-ROM has the format of a nonlinear state-space model and employs a…

Fluid Dynamics · Physics 2021-12-21 A. Chizfahm , R. Jaiman

At the core of some of the most important problems in plasma physics -- from controlled nuclear fusion to the acceleration of cosmic rays -- is the challenge to describe nonlinear, multi-scale plasma dynamics. The development of reduced…

Plasma Physics · Physics 2022-09-13 E. Paulo Alves , Frederico Fiuza

We apply a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology to derive a viscoelastic plate model of von K\'arm\'an type. We start from time-discrete solutions to a…

Analysis of PDEs · Mathematics 2020-07-15 Manuel Friedrich , Martin Kružík

Minimally invasive experimental methods that can measure local rate dependent mechanical properties are essential in understanding the behaviour of soft and biological materials in a wide range of applications. Needle based measurement…

Soft Condensed Matter · Physics 2020-10-20 S Chockalingam , Christine Roth , Thomas Henzel , Tal Cohen

Shear transformations (i.e., localised rearrangements of particles resulting in the shear deformation of a small region of the sample) are the building blocks of mesoscale models for the flow of disordered solids. In order to compute the…

Soft Condensed Matter · Physics 2015-06-24 Alexandre Nicolas , Francesco Puosi , Hideyuki Mizuno , Jean-Louis Barrat

Shear wave elastography involves applying a non-invasive acoustic radiation force to the tissue and imaging the induced deformation to infer its mechanical properties. This work investigates the use of convolutional neural networks to…

Image and Video Processing · Electrical Eng. & Systems 2024-04-29 Remi Delaunay , Yipeng Hu , Tom Vercauteren

Shear wave elastography (SWE) is a promising imaging modality for mechanical characterization of tissues, offering biomarkers with potential for early and precise diagnosis. While various methods have been developed to extract mechanical…

Soft Condensed Matter · Physics 2025-07-01 Yuxuan Jiang , Guo-Yang Li , Zhaoyi Zhang , Shiyu Ma , Yanping Cao , Seok-Hyun Yun

Domain Adaptation(DA) for dense prediction tasks is an important topic, which enhances the dense prediction model's performance when tested on its unseen domain. Recently, with the development of Diffusion-based Dense Prediction (DDP)…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Hang Xu , Jie Huang , Linjiang Huang , Dong Li , Yidi Liu , Feng Zhao

We consider an incompressible viscous flow without surface tension in a finite- depth domain of three dimension, with free top boundary. This system is governed by a Naiver-Stokes equation in a moving domain and a transport equation for the…

Analysis of PDEs · Mathematics 2014-12-09 Lei Wu

The recently developed concept of spreadability, $\mathcal{S}(t)$, provides a direct link between time-dependent diffusive transport and the microstructure of two-phase media across length scales. We explicitly compute $\mathcal{S}(t)$ for…

Materials Science · Physics 2022-03-10 Haina Wang , Salvatore Torquato

Structural damage detection using non-contact sensing remains a challenging problem in structural health monitoring. This study presents a data-driven framework based on Dynamic Mode Decomposition (DMD) for extracting structural dynamics…

Systems and Control · Electrical Eng. & Systems 2026-05-05 R K B M Rizmi , Shabbir Ahmed

We consider two cantilevered beams undergoing frictional impacts at the free end. The beams are designed to be of similar geometry so that they have distinct but close natural frequencies. Under harmonic base excitation near the primary…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Carlo Monjaraz-Tec , Lukas Kohlmann , Stefan Schwarz , Andreas Hartung , Johann Gross , Malte Krack

This paper presents a simulation free framework for solving reliability analysis problems. The method proposed is rooted in a recently developed deep learning approach, referred to as the physics-informed neural network. The primary idea is…

Machine Learning · Statistics 2020-06-16 Souvik Chakraborty

A periodically-uneven (in one horizontal direction) stress-free boundary covering a linear, isotropic, homogeneous, lossless solid half space is submitted to a vertically-propagating shear-horizontal plane, body wave. The rigorous theory of…

Computational Physics · Physics 2018-05-28 Armand Wirgin

We investigate the rheology of granular materials via molecular dynamics simulations of homogeneous, simple shear flows of soft, frictional, noncohesive spheres. In agreement with previous results for frictionless particles, we observe…

Soft Condensed Matter · Physics 2012-02-14 Sebastian Chialvo , Jin Sun , Sankaran Sundaresan