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We continue our investigation of viscoelasticity by extending the Holzapfel-Simo approach discussed in Part I to the fully nonlinear regime. By scrutinizing the relaxation property for the non-equilibrium stresses, it is revealed that a…

Numerical Analysis · Mathematics 2024-08-22 Ju Liu , Jiashen Guan , Chongran Zhao , Jiawei Luo

Experimental data from axially symmetric compression test at constant mean pressure p on Hostun sand from Bouvard experiments are used to study the validity of an "isotropic" modelling as a function of the density .The isotropic assumption…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the deformation with the…

Soft Condensed Matter · Physics 2013-02-11 Moniba Shams , Michel Destrade , Ray W. Ogden

Commonly used linear and nonlinear constitutive material models in deformation simulation contain many simplifications and only cover a tiny part of possible material behavior. In this work we propose a framework for learning customized…

Graphics · Computer Science 2020-10-27 Bin Wang , Yuanmin Deng , Paul Kry , Uri Ascher , Hui Huang , Baoquan Chen

This paper examines the holographic computation of bulk and shear viscosity ratios in strongly coupled thermal plasmas using the AdS/BCFT correspondence within Horndeski gravity. We demonstrate that this framework leads to non-zero…

High Energy Physics - Theory · Physics 2024-09-19 Fabiano F. Santos

Microgels, cross-linked polymers with submicrometer size, are ideal soft model systems. While spherical microgels have been studied extensively, anisotropic microgels have been hardly investigated. In this study, we compare the interfacial…

Soft Condensed Matter · Physics 2022-04-05 Anne C. Nickel , Andrey A. Rudov , Igor I. Potemkin , Jérôme J. Crassous , Walter Richtering

We introduce a contact law for the normal force generated between two contacting, elastically anisotropic bodies of arbitrary geometry. The only requirement is that their surfaces be smooth and frictionless. This anisotropic contact law is…

Soft Condensed Matter · Physics 2021-04-23 Saviz Mowlavi , Ken Kamrin

This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

Numerical Analysis · Mathematics 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

Anisotropy in crystals plays a pivotal role in many technological applications. For example, anisotropic electronic and thermal transport are thought to be beneficial for thermoelectric applications, while anisotropic mechanical properties…

Materials Science · Physics 2024-05-14 Yuchen Lou , Alex M. Ganose

We performed ab initio calculations of the elastic constants of five flexible metal-organic frameworks: MIL-53(Al), MIL-53(Ga), MIL-47 and the square and lozenge structures of DMOF-1. Tensorial analysis of the elastic constants reveal a…

Materials Science · Physics 2014-12-12 Aurélie U. Ortiz , Anne Boutin , Alain H. Fuchs , François-Xavier Coudert

This article demonstrates that flexible and statistically tractable multi-modal diffusion models can be attained by transformation of simple well-known diffusion models such as the Ornstein-Uhlenbeck model, or more generally a Pearson…

Methodology · Statistics 2013-04-04 Julie Forman , Michael Sørensen

In this paper we introduce a new mathematical model for the active contraction of cardiac muscle, featuring different thermo-electric and nonlinear conductivity properties. The passive hyperelastic response of the tissue is described by an…

Tissues and Organs · Quantitative Biology 2019-05-02 Ricardo Ruiz Baier , Alessio Gizzi , Alessandro Loppini , Christian Cherubini , Simonetta Filippi

Using the gauge-gravity duality, we construct the anisotropic D3/D7 approach as a three-dimensional QCD-like theory, then investigate systematically the hadronic mass spectra, the dragging terms and the lowest hadronic interactions in the…

High Energy Physics - Theory · Physics 2026-04-28 Si-wen Li

We present the implementation of an anisotropic viscosity solver within the magnetohydrodynamics (MHD) framework of the TreeSPH code OpenGadget3. The solver models anisotropic viscous transport along magnetic field lines following the…

Instrumentation and Methods for Astrophysics · Physics 2025-10-31 Tirso Marin-Gilabert , Ulrich P. Steinwandel , Milena Valentini , John A. ZuHone , Klaus Dolag

We develop a fully data-driven model of anisotropic finite viscoelasticity using neural ordinary differential equations as building blocks. We replace the Helmholtz free energy function and the dissipation potential with data-driven…

Soft Condensed Matter · Physics 2023-05-10 Vahidullah Tac , Manuel K. Rausch , Francisco Sahli-Costabal , Adrian B. Tepole

The anisotropic triangular model, which is believed to describe the materials Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$, among others, is dominated by incommensurate spiral physics and is thus extremely resistant to numerical analysis on small…

Strongly Correlated Electrons · Physics 2014-09-10 Mischa Thesberg , Erik S. Sorensen

We study transport phenomena in p-wave superfluids in the context of gauge/gravity duality. Due to the spacetime anisotropy of this system, the tensorial structure of the transport coefficients is non-trivial in contrast to the isotropic…

High Energy Physics - Theory · Physics 2012-01-31 Johanna Erdmenger , Patrick Kerner , Hansjörg Zeller

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Low-density, highly porous graphene/graphene oxide (GO) based-foams have shown high performance in energy absorption applications, even under high compressive deformations. In general, foams are very effective as energy dissipative…

Modeling relaxation phenomena in complex media is central to understanding multiscale dynamics in materials science, bioengineering and condensed matter physics. Existing fractional-order models, while flexible, sometimes lack physical…

Computational Physics · Physics 2026-04-28 Ivano Colombaro , Marc Tudela-Pi
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