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A stress equilibration procedure for hyperelastic material models is proposed andanalyzed in this paper. Based on the displacement-pressure approximation computed with a stable finite element pair, it constructs, in a vertex-patch-wise…

数值分析 · 数学 2019-05-07 Fleurianne Bertrand , Marcel Moldenhauer , Gerhard Starke

Critical breakthroughs in the area of biomedicine and materials science increasingly depend on rapid, non-contact methods for viscoelastic characterization. Laser Speckle Rheology (LSR) is positioned to meet this demand, effectively…

We propose an adaptive finite element method for the solution of a coefficient inverse problem of simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions in the Maxwell's system using limited boundary…

数值分析 · 数学 2016-01-26 Larisa Beilina , Samar Hosseinzadegan

In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and its extended version. This paper concerns resolvent…

偏微分方程分析 · 数学 2023-09-01 Maarten V. de Hoop , Masato Kimura , Ching-Lung Lin , Gen Nakamura

In recent years, a number of experimental studies have been conducted to investigate the mechanical behavior and damage mechanisms of articular cartilage under impact loading. Some experimentally observed results have been explained using a…

经典分析与常微分方程 · 数学 2012-06-14 Ivan Argatov

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

数值分析 · 数学 2015-05-13 A. V. Shutov , R. Kreissig

Traumatic axonal injury occurs when loads experienced on the tissue-scale are transferred to the individual axons. Mechanical characterization of axon deformation especially under dynamic loads however is extremely difficult owing to their…

应用物理 · 物理学 2023-04-14 Parameshwaran Pasupathy , John G Georgiadis , Assimina A Pelegri

The original Maxwell visco-elastic constitutive model cannot predict the correct mechanical properties for most fluids. In this work, the model is generalized with respect to wave-vector and extended with a correction function. This new…

软凝聚态物质 · 物理学 2024-01-25 Jesper Schmidt Hansen

This work presents a new constitutive and computational framework based on strain-like internal variables belonging to Sym(3) and two representative rheological configurations. The generalized Maxwell and generalized Kelvin-Voigt models are…

软凝聚态物质 · 物理学 2025-08-21 Chongran Zhao , Hongyan Yuan , Ju Liu

Polycrystalline materials have a viscoelastic rheology where the strains produced by stresses depend on the timescale of deformation. Energy can be stored elastically within grain interiors and dissipated by a variety of different…

材料科学 · 物理学 2026-01-26 John F. Rudge

We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology where the viscosity stress tensor complies with the principle of time-continuous frame-indifference.…

偏微分方程分析 · 数学 2018-06-13 Manuel Friedrich , Martin Kruzik

In this contribution, we address the estimation of the frequency-dependent elastic parameters of polymers in the ultrasound range, which is formulated as an inverse problem. This inverse problem is implemented as a nonlinear regression-type…

计算工程、金融与科学 · 计算机科学 2025-07-03 Dominik Itner , Dmitrij Dreiling , Hauke Gravenkamp , Bernd Henning , Carolin Birk

A stress equilibration procedure for linear elasticity is proposed and analyzed in this paper with emphasis on the behavior for (nearly) incompressible materials. Based on the displacement-pressure approximation computed with a stable…

数值分析 · 数学 2019-11-01 Fleurianne Bertrand , Bernhard Kober , Marcel Moldenhauer , Gerhard Starke

We present a novel formulation for the dynamics of geometrically exact Timoshenko beams and beam structures made of viscoelastic material featuring complex, arbitrarily curved initial geometries. An $\textrm{SO}(3)$-consistent and…

计算工程、金融与科学 · 计算机科学 2024-12-02 Giulio Ferri , Enzo Marino

We study a model for the deformation of a visco-elasto-plastic material that is nearly incompressible. It originates from geophysics, is given in the Eulerian description and combines a Kelvin-Voigt rheology in the spherical part with a…

偏微分方程分析 · 数学 2025-12-22 Thomas Eiter

We present a simple and efficient implementation of a viscous creep rheology based on diffusion creep, dislocation creep and the Peierls mechanism in conjunction with an elasto-plastic rheology model into a shock-physics code, the iSALE…

地球物理 · 物理学 2020-11-24 Dirk Elbeshausen , Jay Melosh

Here, we present a new thermomechanical geodynamic, numerical implementation that incorporates Maxwell viscoelastic rheology accounting for temperature-dependent power-law dislocation creep and pressure-sensitive, non-associated…

地球物理 · 物理学 2024-12-09 Ekeabino Momoh , Harsha S. Bhat , Stephen Tait , Muriel Gerbault

We propose a simple micro-rheology technique to evaluate the viscoelastic properties of complex fluids. The method is based on the use of magnetic wires of a few microns in length submitted to a rotational magnetic field. In this work, the…

软凝聚态物质 · 物理学 2021-09-21 L. Chevry , N. K. Sampathkumar , A. Cebers , J. -F. Berret

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

We use the impact of drops on a small solid target as a tool to investigate the behavior of viscoelastic fluids under extreme deformation rates. We study two classes of transient networks: semidilute solutions of supramolecular polymers and…

软凝聚态物质 · 物理学 2022-05-06 S. Arora , A. Louhichi , D. Vlassopoulos , C. Ligoure , L. Ramos