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A new $n-$ noded polygonal plate element is proposed for the analysis of plate structures comprising of thin and thick members. The formulation is based on the discrete Kirchhoff Mindlin theory. On each side of the polygonal element,…

Numerical Analysis · Mathematics 2018-10-23 Javier Videla , Sundararajan Natarajan , Stephane PA Bordas

We present a novel formulation for mesh-free, reduced-order simulation of deformable hyperelastic objects. Existing work in reduced-order elastodynamic simulation represents the input geometry by either meshes, which can be difficult to…

Aluminum alloys are increasingly utilized as lightweight materials in the automobile industry due to their superior capability in withstanding high mechanical loads. A significant challenge impeding the large-scale use of these alloys in…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Ramin Bostanabad

Two-dimensional (2D) magnetic transition metal compounds with atomic thickness exhibit intriguing physics in fundamental research and great potential for device applications. Understanding the correlations between their macrosopic magnetic…

In this article, we propose a simple and efficient hyperreduced strain-space model order reduction (MOR) approach for hyperelastic representative volume elements (RVEs), called Empirical Material Sampling and Linearisation (EMSL). The…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Erik Faust , Lisa Scheunemann

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

Computational Physics · Physics 2025-05-15 Diba Behnoudfar

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

Materials Science · Physics 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a…

Numerical Analysis · Mathematics 2011-03-04 Gerard Awanou

Our understanding of the elasticity and rheology of disordered materials, such as granular piles, foams, emulsions or dense suspensions relies on improving experimental tools to characterize their behaviour at the particle scale. While 2D…

Soft Condensed Matter · Physics 2010-09-24 Mohammad Saadatfar , Adrian P. Sheppard , Tim J. Senden , Alexandre J. Kabla

The simulation of electric rotating machines is both computationally expensive and memory intensive. To overcome these costs, model order reduction techniques can be applied. The focus of this contribution is especially on machines that…

Numerical Analysis · Mathematics 2017-05-11 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Oliver Rain

Molecular systems are materials that intersect with many different promising fields such as organic/molecular electronics and spintronics, organic magnetism and quantum computing1-7. Particularly, magnetism in organic materials is very…

We show the importance of both strong frustration and spin-lattice coupling for the stabilization of magnetization plateaus in translationally invariant two-dimensional systems. We consider a frustrated spin-1/2 Heisenberg model coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Samuele Bissola , Valeria Lante , Alberto Parola , Federico Becca

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory…

Numerical Analysis · Mathematics 2012-04-11 S. Natarajan , M. Ganapathi

We describe an ab initio theory of finite temperature magnetism in strongly-correlated electron systems. The formalism is based on spin density functional theory, with a self-interaction corrected local spin density approximation…

Strongly Correlated Electrons · Physics 2009-11-13 I. D. Hughes , M. Daene , A. Ernst , W. Hergert , M. Lueders , J. B. Staunton , Z. Szotek , W. M. Temmerman

La-Fe-Si-based alloys are among the most application-ready magnetocaloric materials for room-temperature magnetic refrigeration. Powder metallurgy methods have been previously demonstrated to successfully produce structures with sub-mm…

Accurate simulations are essential for engineering applications, and intricate continuum mechanical material models are constructed to achieve this goal. However, the increasing complexity of the material models and geometrical properties…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 Steffen Kastian , Jannick Kehls , Tim Brepols , Stefanie Reese

Unlike conventional two-dimensional (2D) semiconductor superlattices, moir\'{e} patterns in 2D materials are flexible and their electronic, magnetic, optical, and mechanical properties depend on their topography. Within a…

Mesoscale and Nanoscale Physics · Physics 2022-11-07 Alexandre Artaud , Nicolas Rougemaille , Sergio Vlaic , Vincent T. Renard , Nicolae Atodiresei , Johann Coraux

Hot deformation process is one of the primary methods to produce anisotropic rare earth permanent magnets. Firstly, rapidly quenched powder flakes with nanocrystal structure are condensed into the full dense isotropic precursors by hot…

Materials Science · Physics 2018-12-05 Ren-Jie Chen , Ze-Xuan Wang , Xu Tang , Wen-Zong Yin , Chao-Xiang Jin , Jin-Yun Ju , A-Ru Yan

This paper presents a reduced-order model for the Reynolds equation for deformable structure and large displacements. It is based on the model established in [11] which is piece-wise linearized using two different methods. The advantages…

Other Computer Science · Computer Science 2009-11-13 A. Missoffe , J. Juillard , Denis Aubry
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