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In this paper we formulate a geometric theory of thermal stresses. Given a temperature distribution, we associate a Riemannian material manifold to the body, with a metric that explicitly depends on the temperature distribution. A change of…

Mathematical Physics · Physics 2015-05-14 Arkadas Ozakin , Arash Yavari

To study the cooling behavior and the glass transition of polymer melts in bulk and with free surfaces a coarse-grained weakly semi-flexible polymer model is developed. Based on a standard bead spring model with purely repulsive…

Soft Condensed Matter · Physics 2019-09-09 Hsiao-Ping Hsu , Kurt Kremer

This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and…

Analysis of PDEs · Mathematics 2007-09-03 Ferdinando Auricchio , Alexander Mielke , Ulisse Stefanelli

A systematic study of pressure ionization is carried out in the chemical picture by the example of fluid helium. By comparing the variants of the chemical model, it is demonstrated that the behavior of pressure ionization depends on the…

Plasma Physics · Physics 2016-12-13 Qiong Li , Hai-Feng Liu , Gong-Mu Zhang , Yan-Hong Zhao , Guo Lu , Ming-Feng Tian , Hai-Feng Song

A model of low-temperature polar liquids is constructed that accounts for configurational heat capacity, entropy, and the effect of a strong electric field on the glass transition. The model is based on Pad{\'e}-truncated perturbation…

Soft Condensed Matter · Physics 2016-08-03 D. V. Matyushov

This paper represents a model for microstructure formation in metallic foams based on the multi-phase-field (MPF) approach. By the use of a no-coalescence boundary condition within this MPF-framework, it is possible to completely prevent…

Computational Physics · Physics 2020-07-13 Samad Vakili , Ingo Steinbach , Fathollah Varnik

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wetting, and brittle fractures, is introduced. The model is…

Analysis of PDEs · Mathematics 2020-06-24 Shokhrukh Yu. Kholmatov , Paolo Piovano

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

We have studied the structure and free energy landscape of a semi-flexible lattice-polymer in the presence of a surface. At low temperatures coexistence of two-dimensional integer-folded crystals is observed. As the temperature is increased…

Soft Condensed Matter · Physics 2007-05-23 Jonathan Doye , Daan Frenkel

This article delves into the micro-macro modeling of polymeric fluids, considering various microscopic potential energies, including the classical Hookean potential, as well as newly proposed modified Morse and Elastic-plastic potentials.…

Soft Condensed Matter · Physics 2023-09-27 Xuelian Bao , Huaxiong Huang , Zilong Song , Shixin Xu

The formation of chain-folded structures from the melt is observed in molecular dynamics simulations resembling the lamellae of polymer crystals. Crystallization and subsequent melting temperatures are related linearly to the inverse…

Soft Condensed Matter · Physics 2009-10-31 Hendrik Meyer , Florian Mueller-Plathe

Developing the non-equilibrium thermodynamics of friction is required for systematic design of low friction surfaces for a broad range of technological applications. Intuitively, the thermodynamic work done by a material sliding along a…

Mesoscale and Nanoscale Physics · Physics 2019-11-07 Paola Carolina Torche , Tomas Polcar , Ondrej Hovorka

Many seemingly different macroscopic systems (magnets, ferroelectrics, CDW, vortices,..) can be described as generic disordered elastic systems. Understanding their static and dynamics thus poses challenging problems both from the point of…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Bustingorry , A. B. Kolton , A. Rosso , W. Krauth , T. Giamarchi

Traditionally, the deformation of continuum is divided into elastic, plastic, and flow. For a large deformation with cracking, they are combined together. So, for complicated deformation, a formulation to express the evolution of…

Classical Physics · Physics 2007-05-23 Jianhua Xiao

The contribution to the low frequency internal friction and the thermal conductivity due to optically vibrating edge dislocation dipoles is calculated within the modified Granato-Lucke string model. The results are compared with the recent…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. V. Churochkin , S. Sahling , V. A. Osipov

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

Vapor deposition on polycrystalline films can lead to staggering levels of compressive stress, exceeding even the yield strength of the films. Mysteriously, a significant part of this stress has a reversible nature: it disappears when the…

Materials Science · Physics 2016-03-23 Amirmehdi Saedi , Marcel J. Rost

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

Using Monte Carlo simulations we study crystallization in the three-dimensional Ising model with four-spin interaction. We monitor the morphology of crystals which grow after placing crystallization seeds in a supercooled liquid. Defects in…

Materials Science · Physics 2009-11-07 A. Lipowski , D. Johnston