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Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

计算工程、金融与科学 · 计算机科学 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

Very soft grain assemblies have unique shape-changing capabilities that allow them to be compressed far beyond the rigid jammed state by filling void spaces more effectively. However, accurately following the formation of these systems by…

A continuum description of granular flows would be of considerable help in predicting natural geophysical hazards or in designing industrial processes. However, the constitutive equations for dry granular flows, which govern how the…

软凝聚态物质 · 物理学 2016-08-16 Pierre Jop , Yoël Forterre , Olivier Pouliquen

Finding an accurate stress-strain relation, able to describe the mechanical behavior of metals during {forming} and machining processes, is an important challenge in several fields of mechanics, with significant repercussions in the…

材料科学 · 物理学 2020-03-03 Francesco P. Pinnola , Giorgio Zavarise , Antonio Del Prete , Rodolfo Franchi

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

软凝聚态物质 · 物理学 2023-09-14 Joel T. Clemmer , Mark O. Robbins

We investigate analytically and numerically the interaction between grain boundaries and second phase precipitates in two-phase coherent solids in the presence of misfit strain. Our numerical study uses amplitude equations that describe the…

材料科学 · 物理学 2016-11-02 Yechuan Xu , Pierre-Antoine Geslin , Alain Karma

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved…

材料科学 · 物理学 2021-11-08 Xiaoxue Qin , Luchan Zhang , Yang Xiang

In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce a machine learning (ML)-based multiscale modelling framework for modelling hierarchical…

地球物理 · 物理学 2022-04-13 Mark Ashworth , Ahmed Elsheikh , Florian Doster

Interface migration in microstructures is mediated by the motion of line defects with step and dislocation character, i.e., disconnections. We propose a continuum model for arbitrarily-curved grain boundaries or heterophase interfaces…

材料科学 · 物理学 2023-05-15 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

It is possible to build free-standing, load-bearing structures using only rocks and loops of elastic material. We investigate how these structures emerge, and find that the necessary maximum loop spacing (the critical spacing) is a function…

软凝聚态物质 · 物理学 2021-09-09 Arman Guerra , Douglas P. Holmes

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

We present a new approach to the modelling of stress propagation in static granular media, focussing on the conical sandpile constructed from a point source. We view the medium as consisting of cohesionless hard particles held up by static…

凝聚态物理 · 物理学 2016-08-31 J. P. Wittmer , M. E. Cates , P. Claudin

The coupled mechanics of fluid-filled granular media controls the behavior of many natural systems such as saturated soils, fault gouge, and landslides. The grain motion and the fluid pressure influence each other: It is well established…

地球物理 · 物理学 2013-10-21 Einat Aharonov , Liran Goren , David Sparks , Renaud Toussaint

There has been increasing experimental evidence of non-affine elastic deformation mechanisms in biological soft tissues. These observations call for novel constitutive models which are able to describe the dominant underlying…

计算物理 · 物理学 2021-03-04 Sebastian Skatulla , Carlo Sansour , Georges Limbert

We present a percolation model that is inspired by recent works on immiscible two-phase flow in a mixed-wet porous medium made of a mixture of grains with two different wettability properties. The percolation model is constructed on a dual…

统计力学 · 物理学 2025-09-24 Jnana Ranjan Das , Santanu Sinha , Alex Hansen , Sitangshu B. Santra

We review some recent coarse-graining and multi-scale methods, but also put forward some new ideas for addressing such issues. We find that, if one is guided by nonequilibrium statistical mechanics and thermodynamics, it is possible to…

软凝聚态物质 · 物理学 2009-11-06 Patrick Ilg , Vlasis Mavrantzas , Hans Christian Öttinger

A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model is based on the motion and reaction of the constituent…

材料科学 · 物理学 2020-01-14 Luchan Zhang , Yang Xiang

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…

经典物理 · 物理学 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

计算工程、金融与科学 · 计算机科学 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer