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A new method is proposed for integrating the equations of motion of an elastic filament. In the standard finite-difference and finite-element formulations the continuum equations of motion are discretized in space and time, but it is then…

Computational Physics · Physics 2009-11-13 Anthony JC Ladd , Gaurav Misra

To study the mechanical behavior of mock high explosives, an experimental and simulation program was developed to calibrate, with quantified uncertainty, a material model of the bonded granular material Idoxuridine and nitroplasticized…

A new family of mixed finite element methods$-$compatible-strain mixed finite element methods (CSFEMs)$-$are introduced for three-dimensional compressible and incompressible nonlinear elasticity. A Hu-Washizu-type functional is extremized…

Computational Engineering, Finance, and Science · Computer Science 2019-10-23 Mostafa Faghih Shojaei , Arash Yavari

A new two-phase model for concentrated suspensions is derived that incorporates a constitutive law combining the rheology for non-Brownian suspension and granular flow. The resulting model exhibits a yield-stress behavior for the solid…

Fluid Dynamics · Physics 2019-04-10 Tobias Ahnert , Andreas Münch , Barbara Wagner

FEpX is a modeling framework for computing the elastoplastic deformations of polycrystalline solids. Using the framework, one can simulate the mechanical behavior of aggregates of crystals, referred to as virtual polycrystals, over large…

Materials Science · Physics 2015-04-14 Paul R. Dawson , Donald E. Boyce

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

An electro-chemo-mechanical phase-field formulation is developed to simulate pitting and stress corrosion in polycrystalline materials. The formulation incorporates dependencies of mechanical properties and corrosion potential on…

Computational Engineering, Finance, and Science · Computer Science 2024-04-01 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Z. Khalil , A. Y. Elghazouli , E. Martínez-Pañeda

We present a structure-preserving scheme based on a recently-proposed mixed formulation for incompressible hyperelasticity formulated in principal stretches. Although there exist Hamiltonians introduced for quasi-incompressible…

Numerical Analysis · Mathematics 2023-06-28 Jiashen Guan , Hongyan Yuan , Ju Liu

We develop a contraction-based framework to establish the existence and exponential stability of periodic solutions in planar nonsmooth dynamical systems governed by Filippov differential inclusions. The method integrates a time- and…

Dynamical Systems · Mathematics 2025-07-10 Pascal Stiefenhofer

The flow properties of fresh concrete are critical in the construction industry, as they directly affect casting quality and the durability of the final structure. Although non-Newtonian fluid models, such as the Bingham model, are widely…

Soft Condensed Matter · Physics 2026-01-06 Jidu Yu , Bodhinanda Chandra , Christopher Wilkes , Jidong Zhao , Kenichi Soga

This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with viscoplastic phases. The emphasis is on strongly nonlinear…

Materials Science · Physics 2009-07-09 Martin I. Idiart , Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

Upon loading, amorphous solids can exhibit brittle yielding, with the abrupt formation of macroscopic shear bands leading to fracture, or ductile yielding, with a multitude of plastic events leading to homogeneous flow. It has been recently…

Soft Condensed Matter · Physics 2022-12-07 Saverio Rossi , Giulio Biroli , Misaki Ozawa , Gilles Tarjus , Francesco Zamponi

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Constitutive models play a crucial role in materials science as they describe the behavior of the materials in mathematical forms. Over the last few decades, the rapid development of manufacturing technologies have led to the discovery of…

Materials Science · Physics 2024-10-17 Xinxin Wu , Yin Zhang , Sheng Mao

Yield-stress fluids are ubiquitous and encountered in diverse fields ranging from natural muddy flows to industrial applications such as secondary battery electrode slurries and direct ink writing. Despite the proposal of various…

Fluid Dynamics · Physics 2026-05-20 Jehyeok Choi , Ju Min Kim , Kwang Soo Cho

Residual stress and plastic strain in additive manufactured materials can exhibit significant microscopic variation at the powder scale, profoundly influencing the overall properties of printed components. This variation depends on…

Materials Science · Physics 2024-06-19 Yangyiwei Yang , Somnath Bharech , Nick Finger , Xiandong Zhou , Joerg Schroeder , Bai-Xiang Xu

Cold compaction of ceramic powders is driven by plastic strain, during which the elastic stiffness of the material progressively increases from values typical of granular matter to those representative of a fully dense solid. This increase…

Materials Science · Physics 2015-12-01 L. P. Argani , D. Misseroni , A. Piccolroaz , Z. Vinco , D. Capuani , D. Bigoni

We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental…

Soft Condensed Matter · Physics 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

We investigate, using a recently developed model of liquid state theory describing the rheology of dense granular flows, how a yield stress appears in granular matter at the yielding transition. Our model allows us to predict an analytical…

Soft Condensed Matter · Physics 2021-12-20 O. Coquand , M. Sperl
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