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A novel finite element method (FEM) is developed to study mechanical response of axons embedded in extra cellular matrix (ECM) when subjected to harmonic uniaxial stretch under purely non-affine kinematic boundary conditions. The proposed…

生物物理 · 物理学 2022-05-06 Mohit Agarwal , Assimina A. Pelegri

Ferrogels consist of magnetic colloidal particles embedded in an elastic polymer matrix. As a consequence, their structural and rheological properties are governed by a competition between magnetic particle-particle interactions and…

软凝聚态物质 · 物理学 2017-06-27 P. Cremer , M. Heinen , A. M. Menzel , H. Löwen

Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome…

数值分析 · 数学 2020-05-15 Xia Wang , Eric Chung , Shubin Fu , Zhaoqin Huang

This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms…

计算工程、金融与科学 · 计算机科学 2020-12-04 Benjamin Wassermann , Nina Korshunova , Stefan Kollmannsberger , Ernst Rank , Gershon Elber

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

计算工程、金融与科学 · 计算机科学 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

In this paper we consider extensions of the gradient elasticity models proposed earlier by the second author to describe materials with fractional non-locality and fractality using the techniques developed recently by the first author. We…

经典物理 · 物理学 2018-08-15 Vasily E. Tarasov , Elias C. Aifantis

We develop an energy-landscape based elasto-plastic model to understand the behaviour of amorphous solids under uniform and cyclic shear. Amorphous solids are modeled as being composed of mesoscopic sub-volumes, each of which may occupy…

软凝聚态物质 · 物理学 2026-02-10 Pushkar Khandare , Srikanth Sastry

The Heterogeneous Multiscale Finite Element Method (FE-HMM) is a two-scale FEM based on asymptotic homogenization for solving multiscale partial differential equations. It was introduced in [W. E and B. Engquist, \emph{Commun. Math. Sci.},…

数值分析 · 数学 2017-11-22 Bernhard Eidel , Andreas Fischer

We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements for both visco-elastic/plastic parts. The constitutive…

数值分析 · 数学 2019-11-19 Jorge L. Suzuki , Yongtao Zhou , Marta D'Elia , Mohsen Zayernouri

The structure of 180-degree uncharged rotational domain wall in a multiaxial ferroelectric film is studied within the framework of analytical Landau-Ginzburg-Devonshire (LGD) approach. The Finite Element Modelling (FEM) is used to solve…

材料科学 · 物理学 2020-11-18 Anna N. Morozovska , Eugene A. Eliseev , Yevhen M. Fomichov , Sergei V. Kalinin

Frictional granular matter is shown to be fundamentally different in its plastic responses to external strains from generic glasses and amorphous solids without friction. While regular glasses exhibit plastic instabilities due to a…

软凝聚态物质 · 物理学 2019-09-04 Joyjit Chattoraj , Oleg Gendelman , Massimo Pica Ciamarra , Itamar Procaccia

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

生物物理 · 物理学 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

We present a methodology to simulate the mechanics of knots in elastic rods using geometrically nonlinear, full three-dimensional (3D) finite element analysis. We focus on the mechanical behavior of knots in tight configurations, for which…

软凝聚态物质 · 物理学 2021-02-03 Changyeob Baek , Paul Johanns , Tomohiko G. Sano , Paul Grandgeorge , Pedro M. Reis

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

统计力学 · 物理学 2009-10-30 M. L. Falk , J. S. Langer

This paper presents a structural optimisation method in three-dimensional acoustic-elastic coupled problems. The proposed optimisation method finds an optimal allocation of elastic materials which reduces the sound level on some fixed…

数值分析 · 数学 2016-12-21 Hiroshi Isakari , Toyohiro Kondo , Toru Takahashi , Toshiro Matsumoto

The problem of multiphase materials (fluid or solid) interacting with the rigid body structure is studied by proposing a novel VMS-FEM (variational multi-scale finite element method) in the Eulerian framework using the fixed mesh. The…

数值分析 · 数学 2023-03-21 Tianyu Li

We explore the locomotion of soft robots in granular medium (GM) resulting from the elastic deformation of slender rods. A low-cost, rapidly fabricable robot inspired by the physiological structure of bacteria is presented. It consists of a…

机器人学 · 计算机科学 2021-12-30 Yayun Du , Andrew Miller , M. Khalid Jawed

We propose an algorithm for the efficient parallel implementation of elastoplastic problems with hardening based on the so-called TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. We consider an…

数值分析 · 数学 2014-01-08 M. Čermák , T. Kozubek , S. Sysala , J. Valdman

Colloidal magnetic particles embedded in an elastic polymer matrix constitute a smart material called ferrogel. It responds to an applied external magnetic field by changes in elastic properties, which can be exploited for various…

软凝聚态物质 · 物理学 2016-10-07 Peet Cremer , Hartmut Löwen , Andreas M. Menzel

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

计算工程、金融与科学 · 计算机科学 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor
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