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Thin beams made of magnetorheological elastomers embedded with hard magnetic particles (hard-MREs) are capable of large deflections under an applied magnetic field. We propose a comprehensive framework, comprising a beam model and 3D finite…

Soft Condensed Matter · Physics 2021-07-01 Dong Yan , Arefeh Abbasi , Pedro M. Reis

The restricted strong convexity is an effective tool for deriving globally linear convergence rates of descent methods in convex minimization. Recently, the global error bound and quadratic growth properties appeared as new competitors. In…

Optimization and Control · Mathematics 2016-06-21 Hui Zhang

The weighted extended B-spline method [Hoellig (2003)] is applied to bending and buckling problems of plates with different shapes and stiffener arrangements. The discrete equations are obtained from the energy contributions of the…

Numerical Analysis · Mathematics 2015-12-15 Joris C. G. Verschaeve

We provide analytical expressions for the second virial coefficients of hard, convex, monoaxial solids of revolution in ${\mathbb{R}^{4}}$. The excluded volume per particle and thus the second virial coefficient is calculated using…

Statistical Mechanics · Physics 2025-02-14 Markus Kulossa , Joachim Wagner

A collision of viscoelastic bodies is analysed within a mathematically rigorous approach. We develop a perturbation scheme to solve continuum mechanics equation, which deals simultaneously with strain and strain rate in the bulk of the…

Statistical Mechanics · Physics 2015-05-22 Nikolay V. Brilliantov , Anastasiya V. Pimenova , Denis S. Goldobin

Soft fracture in highly deformable solids involves both geometric and constitutive nonlinearities, necessitating advanced theoretical and computational frameworks for its accurate understanding. Tensile fractures subjected to mixed-mode…

The load-area relation of rough surfaces is of great interest in tribology. For elastic-plastic solids with strain hardening, an incremental model is adopted to analyze the contact of rough surfaces, in which the contact is modeled by…

Soft Condensed Matter · Physics 2022-12-28 Yue Ding , Xuan-Ming Liang , Gang-Feng Wang

Predicting the growth of large cracks in brittle materials is a fundamental unresolved problem in fracture mechanics. Under out-of-plane shear loading, an initially planar crack may fragment into multiple cracks, forming an echelon crack…

Materials Science · Physics 2026-01-07 Olivia Ward , Aditya Kumar

In this thesis, we consider the suitability of using the charged cold fluid model in the description of ultra-relativistic beams. The method that we have used is the following. Firstly, the necessary notions of kinetic theory and…

Mathematical Physics · Physics 2025-09-08 Ricardo Gallego Torromé

We study the fronts that appear when a shear-thickening suspension is submitted to a sudden driving force at a boundary. Using a quasi-one-dimensional experimental geometry, we extract the front shape and the propagation speed from the…

Soft Condensed Matter · Physics 2018-07-18 Endao Han , Matthieu Wyart , Ivo R. Peters , Heinrich M. Jaeger

In this paper, a new finite element (FE) model using ABAQUS software was developed to investigate the compressive behavior of Concrete-Filled Steel Circular-Tube (CFSCT) columns. Experimental studies indicated that the confinement offered…

Numerical Analysis · Mathematics 2022-01-02 Duc-Duy Pham , Phu-Cuong Nguyen

As a natural approach to modeling system safety conditions, chance constraint (CC) seeks to satisfy a set of uncertain inequalities individually or jointly with high probability. Although a joint CC offers stronger reliability certificate,…

Optimization and Control · Mathematics 2022-04-04 Haoming Shen , Ruiwei Jiang

The present study proposes a novel and simple rheo-optical technique to investigate the relation between the rheology of complex fluids and their internal structural deformation under uniaxial extensional flow. The macroscale results of…

Fluid Dynamics · Physics 2024-04-30 Masakazu Muto , Tatsuya Yoshino , Shinji Tamano

A new empirical analytical approach is developed for predicting the stress concentration profile around an in-situ tow break in filament-wound composites. A shear-lag analysis is firstly performed to solve for the perturbational axial…

Applied Physics · Physics 2024-05-21 Jiakun Liu , Stuart Leigh Phoenix

Biased Brownian motion of point-size particles in a three-dimensional tube with smoothly varying cross-section is investigated. In the fashion of our recent work [Martens et al., PRE 83,051135] we employ an asymptotic analysis to the…

Statistical Mechanics · Physics 2011-12-30 Steffen Martens , Gerhard Schmid , Lutz Schimansky-Geier , Peter Hänggi

Here we present an experimentally practical and robust method to compute the transient extensional viscosity from exponential shear on a wide variety of viscoelastic complex fluids. To achieve this, we derive an analytical, frame-invariant…

Soft Condensed Matter · Physics 2025-06-23 L. A. Kroo , R. A. Nicholson , M. W Boehm , S. K. Baier , G. H. McKinley

We propose a framework to understand input-output amplification properties of non- linear partial differential equation (PDE) models of wall-bounded shear flows, which are spatially invariant in one coordinate (e.g., streamwise-constant…

We study surface and bulk properties of porous films produced by a model in which particles incide perpendicularly to a substrate, interact with deposited neighbors in its trajectory, and aggregate laterally with probability of order $a$ at…

Statistical Mechanics · Physics 2015-06-10 Fabio D. A. Aarao Reis

The structural properties of fluids whose molecules interact via potentials with a hard core plus two piece-wise constant sections of different widths and heights are presented. These follow from the more general development previously…

Soft Condensed Matter · Physics 2013-08-27 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Mariana Bárcenas , Pedro Orea

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

Soft Condensed Matter · Physics 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady
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