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This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potentials in multiple spatial dimensions. While the standard…

Computational Engineering, Finance, and Science · Computer Science 2023-02-10 Daniel Balzani , Maximilian Köhler , Timo Neumeier , Malte A. Peter , Daniel Peterseim

Photoelastic techniques have a long tradition in both qualitative and quantitative analysis of the stresses in granular materials. Over the last two decades, computational methods for reconstructing forces between particles from their…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Renat Sergazinov , Miroslav Kramar

By means of a finite elements technique we solve numerically the dynamics of an amorphous solid under deformation in the quasistatic driving limit. We study the noise statistics of the stress-strain signal in the steady state plastic flow,…

Soft Condensed Matter · Physics 2017-01-13 Kamran Karimi , Ezequiel E. Ferrero , Jean-Louis Barrat

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

Statistical Mechanics · Physics 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

A simulated annealing algorithm is applied to the reconstruction of two-dimensional porous media with prescribed correlation functions. The experimental correlation function of an isotropic sample of Fontainebleau sandstone and a synthetic…

Materials Science · Physics 2009-10-31 C. Manwart , R. Hilfer

Using numerical simulations, we characterized the behavior of an elastic membrane immersed in an active fluid. Our findings reveal a nontrivial folding and re-expansion of the membrane that is controlled by the interplay of its resistance…

Soft Condensed Matter · Physics 2015-07-24 S. A. Mallory , C. Valeriani , A. Cacciuto

Multiscale computational modelling is challenging due to the high computational cost of direct numerical simulation by finite elements. To address this issue, concurrent multiscale methods use the solution of cheaper macroscale surrogates…

Computational Engineering, Finance, and Science · Computer Science 2022-01-20 Vasilis Krokos , Viet Bui Xuan , Stéphane P. A. Bordas , Philippe Young , Pierre Kerfriden

Atomistic simulations of the molecular dynamics/statics kind are regularly used to study small scale plasticity. Contemporary simulations are performed with tens to hundreds of millions of atoms, with snapshots of these configurations…

Materials Science · Physics 2022-06-17 Aruna Prakash , Stefan Sandfeld

Many parts of biological organisms are comprised of deformable porous media. The biological media is both pliable enough to deform in response to an outside force and can deform by itself using the work of an embedded muscle. For example,…

Fluid Dynamics · Physics 2021-08-18 Tagir Farkhutdinov , François Gay-Balmaz , Vakhtang Putkaradze

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

The advancements in additive manufacturing (AM) technology have allowed for the production of geometrically complex parts with customizable designs. This versatility benefits large-scale space-frame structures, as the individual design of…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Oguz Oztoprak , Alexander Paolini , Pierluigi D'Acunto , Ernst Rank , Stefan Kollmannsberger

Changes in strain can be used to modify electronic and magnetic properties in crystal structures, to manipulate nanoparticles and cells, or to control chemical reactions. The magneto-elastic (ME) effect--the change of magnetic properties…

We demonstrate that irreversible structural reorganization is not necessary for the observation of yield behaviour in an amorphous solid. While the majority of solids strained to their yield point do indeed undergo an irreversible…

Soft Condensed Matter · Physics 2016-08-24 Shibu Saw , Sneha Abraham , Peter Harrowell

Concurrent multiscale damage models are often used to quantify the impacts of manufacturing-induced micro porosity on the damage response of macroscopic metallic components. However, these models are challenged by major numerical issues…

Computational Engineering, Finance, and Science · Computer Science 2023-02-21 Shiguang Deng , Diran Apelian , Ramin Bostanabad

Derivation of macroscopic models for advection-diffusion processes in the presence of dominant heterogeneous (e.g., surface) reactions using homogenisation theory or volume averaging is often deemed unfeasible due to the strong coupling…

Analysis of PDEs · Mathematics 2020-06-24 Federico Municchi , Matteo Icardi

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

Numerical Analysis · Mathematics 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

A multiscale (micro-to-macro) analysis is proposed for the prediction of the finite strain behavior of composites with hyperelastic constituents and embedded localized damage. The composites are assumed to possess periodic microstructure…

Materials Science · Physics 2020-10-20 Nathan Perchikov , Jacob Aboudi

Complexity and heterogeneity of bone tissue require a multiscale modelling to understand their mechanical behaviour and their remodelling mechanism. Human cortical bone structure consists of six structural scale levels which are the…

Medical Physics · Physics 2011-12-07 Abdelwahed Barkaoui , Ridha Hambli

We performed a set of numerical simulations to characterize the interplay of fracture network topology, upscaling, and mesh refinement on flow and transport properties in fractured porous media. We generated a set of generic…

Computational Engineering, Finance, and Science · Computer Science 2023-02-23 Aleksandra A. Pachalieva , Matthew R. Sweeney , Hari Viswanathan , Emily Stein , Rosie Leone , Jeffrey D. Hyman
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