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Related papers: Simulation of Dislocation in Cosserat Elastic Plat…

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We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by B\^irsan, Ghiba, Martin, and Neff in 2019. The shell model includes curvature terms up to…

Numerical Analysis · Mathematics 2023-08-02 Lisa Julia Nebel , Oliver Sander , Mircea Bîrsan , Patrizio Neff

We develop a finite element based dislocation dynamics model to simulate the structure and strength of dislocation junctions in FCC crystals. The model is based on anisotropic elasticity theory supplemented by the explicit inclusion of the…

Materials Science · Physics 2009-10-31 V. B. Shenoy , R. V. Kukta , R. Phillips

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined…

Materials Science · Physics 2007-05-23 Andrew N. Norris , Douglas M. Photiadis

A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate…

Numerical Analysis · Mathematics 2024-04-17 Khanh Chau Le , Hoang Giang Bui

Kinetics of dislocations is studied by means of computer simulation during intensive plastic deformation. The dynamical effect in the form of soliton-like wave of sharply disrupted interparticle bonds is observed. Along with it, micropores…

Materials Science · Physics 2007-05-23 L. S. Metlov

Purpose - This paper continues the development of a comprehensive methodology for fully resolved numerical simulations of fusion deposition modeling. Design/methodology/approach - A front-tracking/finite volume method introduced in Part I…

Fluid Dynamics · Physics 2018-02-27 Huanxiong Xia , Jiacai Lu , Gretar Tryggvason

Capturing and predicting the effective mechanical properties of highly porous cellular media still represents a significant challenge for the research community, due to their complex structural interdependencies and known size effects.…

Soft Condensed Matter · Physics 2024-07-30 Alexander Malik , Geralf Hütter , Martin Abendroth , Bjoern Kiefer

Developing engineering systems that rely on flow-induced reconfiguration, the phenomenon where a structure deforms under flow to reduce its drag, requires design tools that can predict the behavior of these flexible structures. Current…

Materials Science · Physics 2024-06-11 Danick Lamoureux , Sophie Ramananarivo , David Melancon , Frédérick P. Gosselin

Over the past decades, discrete dislocation dynamics simulations have been shown to reliably predict the evolution of dislocation microstructures for micrometer-sized metallic samples. Such simulations provide insight into the governing…

In this paper we do a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin-Eringen-Nowacki description in terms of a microrotation vector and a new formulation in terms of a…

Mathematical Physics · Physics 2022-06-07 Ionel-Dumitrel Ghiba , Gianluca Rizzi , Angela Madeo , Patrizio Neff

A displacement-based, geometrically nonlinear finite element model is developed for lattice core sandwich panels modeled as 2-D equivalent single-layer (ESL), first-order shear deformation theory (FSDT) micropolar plates. The nonlinearity…

Applied Physics · Physics 2020-10-14 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

This paper investigates the optimal distribution of hard and soft material on elastic plates. In the class of isometric deformations stationary points of a Kirchhoff plate functional with incorporated material hardness function are…

Numerical Analysis · Mathematics 2020-03-04 Peter Hornung , Martin Rumpf , Stefan Simon

We present an approach to robustly track the geometry of an object that deforms over time from a set of input point clouds captured from a single viewpoint. The deformations we consider are caused by applying forces to known locations on…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Stefanie Wuhrer , Jochen Lang , Motahareh Tekieh , Chang Shu

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

Materials Science · Physics 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

Driven by the growing interest in numerical simulations of dislocation-interface interactions in general crystalline materials with elastic anisotropy, we develop algorithms for the integration of interface tractions needed to couple…

Materials Science · Physics 2016-06-22 Bing Liu , Athanasios Arsenlis , Sylvie Aubry

Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in practice are often limiting, motivated by reasons of…

Numerical Analysis · Mathematics 2013-12-30 G. J. van Zwieten , E. H. van Brummelen , K. G. van der Zee , M. A. Gutiérrez , R. F. Hanssen

In the context of finite elasticity, we propose plate models describing the spontaneous bending of nematic elastomer thin films due to variations along the thickness of the nematic order parameters. Reduced energy functionals are deduced…

Analysis of PDEs · Mathematics 2017-02-03 Virginia Agostiniani , Antonio DeSimone

In this paper we study the homogenization effects on the model of elastic plate in the bending regime, under the assumption that the energy density (material) oscillates in the direction of thickness. We study two different cases. First, we…

Analysis of PDEs · Mathematics 2014-10-09 Maroje Marohnic , Igor Velcic

Sintering of printed porcelain filaments can be strongly affected by overhang geometry, thin features, and printing-induced anisotropy. These effects are particularly difficult to simulate because they require accurately capturing the…

Classical Physics · Physics 2025-12-03 Fatima Hammoud , Charles Manière