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Recent studies of concentrated solid solutions have highlighted the role of varied solute interactions in the determination of a wide variety of mesoscale properties. These solute interactions emerge as spatial fluctuations in potential…

Materials Science · Physics 2025-09-18 Ritesh Jagatramka , Chu Wang , Matthew Daly

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

Classical Physics · Physics 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

Geologic shear fractures such as faults and slip surfaces involve marked friction along the discontinuities as they are subjected to significant confining pressures. This friction plays a critical role in the growth of these shear…

Geophysics · Physics 2020-07-23 Fan Fei , Jinhyun Choo

We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting…

Analysis of PDEs · Mathematics 2016-12-07 J. A. Carrillo , Y. Huang , F. S. Patacchini , G. Wolansky

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

Applied Physics · Physics 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

Based on simplified models, formulae for determining particle energy losses due to Beamstarhlung in supercolliders are obtained. The developed semi-analytical approach can be useful for estimating the parameters of colliding beams under…

Accelerator Physics · Physics 2020-02-05 Sergei Nikitin

We combine molecular dynamics simulations of deformations at the submicron scale with a continuum fracture mechanics calculation for the onset of crack propagation to predict the macroscopic fracture toughness of amorphous glassy polymers.…

Materials Science · Physics 2009-11-07 Jörg Rottler , Sandra Barsky , Mark O. Robbins

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

Graphics · Computer Science 2023-03-21 James F. O'Brien , Jessica K. Hodgins

The maximum-weight matching problem and the behavior of its energy landscape is numerically investigated. We apply a perturbation method adapted from the analysis of spin glasses. This gives inside into the complexity of the energy…

Disordered Systems and Neural Networks · Physics 2023-04-04 Till Kahlke , Alexander K. Hartmann

We investigate the kinetics and the free energy landscape of the crystallization of hard spheres from a supersaturated metastable liquid though direct simulations and forward flux sampling. In this first paper, we describe and test two…

Soft Condensed Matter · Physics 2018-08-17 David Richard , Thomas Speck

Models of grain boundary energy are essential for predicting the behavior of polycrystalline materials. Typical models represent the minimum boundary energy as a function of macroscopic boundary parameters. An energy model may allow for…

Materials Science · Physics 2025-10-21 Adam Morawiec

Are the cohesive laws of interfaces sufficient for modelling fracture in polycrystals using the cohesive zone model? We examine this question by comparing a fully atomistic simulation of a silicon polycrystal to a finite element simulation…

In this work, we provide a solution to the problem of computing collision stress in particle-tracking simulations. First, a formulation for the collision stress between particles is derived as an extension of the virial stress formula to…

Fluid Dynamics · Physics 2019-02-18 Wen Yan , Huan Zhang , Michael J. Shelley

Statistical fluctuations of the nuclear ground state energies are estimated using shell model calculations in which particles in the valence shells interact through well defined forces, and are coupled to an upper shell governed by random…

Nuclear Theory · Physics 2009-11-11 Victor Velazquez , Jorge G. Hirsch , Alejandro Frank , Jose Barea , Andres P. Zuker

We review a class of energy landscape analysis method that uses the Ising model and takes multivariate time series data as input. The method allows one to capture dynamics of the data as trajectories of a ball from one basin to a different…

Disordered Systems and Neural Networks · Physics 2025-05-13 Naoki Masuda , Saiful Islam , Si Thu Aung , Takamitsu Watanabe

Based on a recent simulation study [Masubuchi et al., Macromolecules, 56, 9359 (2023)], the cycle rank plays a significant role in determining the fracture characteristics of network polymers. However, the study only considered…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi , Yusuke Koide , Takato Ishida , Takashi Uneyama

We study fragmentation of small atomistic clusters via molecular dynamics. We calculate the time scales related to fragment formation and emission. We also show that some degree of thermalization is achieved during the expansion process,…

Nuclear Theory · Physics 2008-11-26 A. Strachan , C. O. Dorso

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

Damage nucleation from repeated dislocation absorption at a grain boundary is simulated with molecular dynamics. At the grain boundary-dislocation intersection site, atomic shuffling events determine how the free volume brought by the…

Materials Science · Physics 2014-08-26 Zhiliang Pan , Timothy J. Rupert

Energy landscape theory describes how a full-length protein can attain its native fold after sampling only a tiny fraction of all possible structures. Although protein folding is now understood to be concomitant with synthesis on the…

Biomolecules · Quantitative Biology 2013-10-17 David S. Tourigny