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The mechanical behavior of closed-cell foams in compression is analyzed by means of the finite element simulation of a representative volume element of the microstructure. The digital model of the foam includes the most relevant details of…

Materials Science · Physics 2020-01-08 M. Marvi-Mashhadi , C. S. Lopes , J. LLorca

We introduce a method of exploring potential energy contours in complex dynamical systems based on potentiostatic kinematics wherein the systems are evolved with minimal changes to their potential energy. We construct a simple iterative…

Computational Physics · Physics 2022-04-13 Michael J. Waters , James M. Rondinelli

Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This…

Numerical Analysis · Mathematics 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox

We bring a totally new concept for plasma simulation, other than the conventional two ways: Fluid/Kinetic Continuum (FKC) method and Particle-in-Cell (PIC) method. This method is based on Pure Monte Carlo (PMC), but far beyond traditional…

Plasma Physics · Physics 2012-10-11 Hua-sheng Xie

The use of explicit particle-in-cell (PIC) method for relativistic plasma simulations is restricted by numerical heating and instabilities that may significantly constrain the choice of time and space steps. To partially eliminate these…

Plasma Physics · Physics 2024-02-12 Arkady Gonoskov

For large scale electronic structure calculation, the Krylov subspace method is introduced to calculate the one-body density matrix instead of the eigenstates of given Hamiltonian. This method provides an efficient way to extract the…

Materials Science · Physics 2009-11-10 Ryu Takayama , Takeo Hoshi , Takeo Fujiwara

In this paper we present a Path Integral Monte Carlo (PIMC) simulation of the orthorhombic phase of crystalline polyethylene, using an explicit atom force field with unconstrained bond lengths and angles. This work represents a quantum…

Materials Science · Physics 2009-10-30 R. Martonak , W. Paul , K. Binder

Molecular dynamics simulations are used to study structure formation in simple model polymer chains that are subject to excluded volume and torsional interactions. The changing conformations exhibited by chains of different lengths under…

Soft Condensed Matter · Physics 2009-11-07 D. C. Rapaport

We present an elementary state augmentation method for a class of static risk measure applied to the total cost for both Markov decision processes and stochastic optimal control, such that dynamic programming equations can be derived on the…

Optimization and Control · Mathematics 2026-04-07 Cristian Chávez , Yan Li

In a pouch cell battery, the intercalation of lithium ions into the active particles means the electrodes want to expand. However, since the electrodes are attached to stiff current collectors, this expansion is constrained, leading to a…

Applied Physics · Physics 2024-07-02 Andrea Giudici , Jon Chapman , Colin Please

Stochastic models of chemical systems are often analysed by solving the corresponding Fokker-Planck equation which is a drift-diffusion partial differential equation for the probability distribution function. Efficient numerical solution of…

Numerical Analysis · Mathematics 2011-11-10 Simon L. Cotter , Tomas Vejchodsky , Radek Erban

Line-by-line calculations are becoming the standard procedure for carrying spectral simulations. However, it is important to insure the accuracy of such spectral simulations through the choice of adapted models for the simulation of key…

Optics · Physics 2007-05-23 M. Lino da Silva

This paper is concerned with the minimisation of peak stresses occurring in linear elasticity. We propose to minimise the maximal von Mises stress of the elastic body. This leads to a nonsmooth shape functional. We derive the shape…

Optimization and Control · Mathematics 2024-02-21 Phillip Baumann , Kevin Sturm

In this paper, we propose a multiphysics mixed finite element method with Nitsche's technique for Stokes-poroelasticity problem. Firstly, we present a multiphysics reformulation of poroelasticity part of the original problem by introducing…

Numerical Analysis · Mathematics 2021-12-24 Zhihao Ge , Jin'ge Pang , Jiwei Cao

We describe here in detail the recently introduced methodology for simulation of structural transitions in crystals. The applications of the new scheme are illustrated on various kinds of crystals and the advantages with respect to previous…

Materials Science · Physics 2007-05-23 R. Martonak , A. Laio , M. Bernasconi , C. Ceriani , P. Raiteri , M. Parrinello

In this paper, we develop a new multiphysics finite element method for a nonlinear poroelastic model with Hencky-Mises stress tensor. By introducing some new notations, we reformulate the original model into a fluid-fluid coupling problem,…

Numerical Analysis · Mathematics 2026-02-24 Yanan He , Zhihao Ge

A systematic study of the sensitivities of simulation input on the computed stress distributions in two-phase microstructures is presented. The study supports a related investigation of the initiation and propagation of yielding in duplex…

Materials Science · Physics 2017-07-31 Andrew C. Poshadel , Michael Gharghouri , Paul R. Dawson

The purpose of this paper is to propose a continuum micromechanics model for the simulation of uniaxial compressive and tensile tests on lime-based mortars, in order to predict their stiffness, compressive and tensile strengths, and tensile…

Materials Science · Physics 2016-12-07 Václav Nežerka , Jiří Nemeček , Jan Zeman

This paper proposes an adaptive hyper-reduction method to reduce the computational cost associated with the simulation of parametric particle-based kinetic plasma models, specifically focusing on the Vlasov-Poisson equation. Conventional…

Numerical Analysis · Mathematics 2026-02-05 Cecilia Pagliantini , Federico Vismara

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos