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The aim of this paper is to analyze a class of random motions which models the motion of a particle on the real line with random velocity and subject to the action of the friction. The speed randomly changes when a Poissonian event occurs.…

Probability · Mathematics 2009-12-31 Alessandro De Gregorio

This paper proposes a new approach for the calibration of material parameters in local elastoplastic constitutive models. The calibration is posed as a constrained optimization problem, where the constitutive model evolution equations for a…

Computational Engineering, Finance, and Science · Computer Science 2025-05-09 Ryan Yan , D. Thomas Seidl , Reese E. Jones , Panayiotis Papadopoulos

Magnetic materials have been applied in a large variety of technologies, from data storage to quantum devices. The development of 2D materials has opened new arenas for magnetic compounds, even when classical theories discourage their…

Materials Science · Physics 2022-02-11 Carlos Mera Acosta , Elton Ogoshi , Jose Antonio Souza , Gustavo M. Dalpian

In this work we present a new method for the calculation of the electrostrictive properties of materials using density functional theory. The method relies on the thermodynamical equivalence, in a dielectric, of the quadratic mechanical…

Materials Science · Physics 2022-08-15 Daniel S. P. Tanner , Eric Bousquet , Pierre-Eymeric Janolin

We investigate both numerically and analytically the effect of strong disorder on the large scale properties of the hyperbolic equations for stresses proposed in \protect\cite{bcc,wcc}. The physical mechanism that we model is the local…

Condensed Matter · Physics 2009-10-31 J. -P. Bouchaud , P. Claudin , D. Levine , M. Otto

At present, modeling of the plastic response of porous solids is done using stress-based plastic potentials. To gain understanding of the combined effects of all invariants for general three-dimensional loadings, a strain-rate based…

Materials Science · Physics 2014-04-29 Benoit Revil-Baudard , Oana Cazacu

Learning from implicit feedback is challenging because of the difficult nature of the one-class problem: we can observe only positive examples. Most conventional methods use a pairwise ranking approach and negative samplers to cope with the…

Machine Learning · Computer Science 2021-05-12 Riku Togashi , Masahiro Kato , Mayu Otani , Tetsuya Sakai , Shin'ichi Satoh

Dynamic loadings produce high stress waves leading to the spallation of ductile materials such as aluminum, copper, magnesium or tantalum. The main mechanism used herein to explain the change of the number of cavities with the stress rate…

Materials Science · Physics 2009-10-28 Herve Trumel , Francois Hild , Gilles Roy , Yves-Patrick Pellegrini , Christophe Denoual

Using machine learning with a variational formula for diffusivity, we recast diffusion as a sum of individual contributions to diffusion--called "kinosons"--and compute their statistical distribution to model a complex multicomponent alloy.…

Materials Science · Physics 2024-05-02 Soham Chattopadhyay , Dallas R. Trinkle

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

Soft Condensed Matter · Physics 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

Recent improvements in additive manufacturing and high-throughput material synthesis have enabled the discovery of novel metallic materials for extreme environments. However, high-fidelity testing of advanced mechanical properties such as…

Materials Science · Physics 2025-02-20 C. Bean , M. Calvat , Y. Nie , R. L Black , N. Velisavljevic , D. Anjaria , M. A. Charpagne , J. C. Stinville

A new apparatus and method is proposed for the investigation of material behavior under high-strain-rate tensile loads. We refer this apparatus as a Split Flying Bar. The method is based on using the inertia of a working mass attached to a…

Classical Physics · Physics 2012-01-05 Sergey Lopatnikov , Nikolas Shevchenko , John W. Gillespie

Heterogeneity of many building materials complicates numerical modelling of structural behaviour. The material randomicity can be manifested by different values of material parameters of each material specimen. To capture inherent…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Eliška Kočková , Anna Kučerová

We describe an efficient method of calculating the radiation pressure due to spectral lines, including all the terms in the velocity gradient tensor. We apply this method to calculate the two-dimensional, time-dependent structure of winds…

Astrophysics · Physics 2009-10-31 D. Proga , J. M. Stone , J. E. Drew

Deterministic simulations of the rate equations governing cluster dynamics in materials are limited by the number of equations to integrate. Stochastic simulations are limited by the high frequency of certain events. We propose a coupling…

Materials Science · Physics 2017-10-11 Pierre Terrier , Manuel Athènes , Thomas Jourdan , Gilles Adjanor , Gabriel Stoltz

Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with multidimensional Brownian motion consider the different…

Statistical Mechanics · Physics 2025-03-10 Michał Balcerek , Adrian Pacheco-Pozo , Agnieszka Wyłomanska , Krzysztof Burnecki , Diego Krapf

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on the joint examination of void probabilities and factorial moment measures. We prove that determinantal and permanental processes, as well…

Probability · Mathematics 2014-04-23 Bartlomiej Blaszczyszyn , D. Yogeshwaran

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

The PARAFAC2 is a multimodal factor analysis model suitable for analyzing multi-way data when one of the modes has incomparable observation units, for example because of differences in signal sampling or batch sizes. A fully probabilistic…