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This work presents a new approach to efficiently model the cathode in the moving boundary value problem of electrochemical machining. Until recently, the process simulation with finite elements had the drawback of remeshing required by the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-12 Tim van der Velden , Stephan Ritzert , Stefanie Reese , Johanna Waimann

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig

The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of the Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section.…

Numerical Analysis · Mathematics 2022-02-23 Andrea Panteghini , Rocco Lagioia

We formulate a multiscale model of adhesive layers undergoing impurity-dependent cohesive fracture. The model contemplates three scales: i) at the atomic scale, fracture is controlled by interatomic separation and the thermodynamics of…

Soft Condensed Matter · Physics 2025-07-29 M. P. Ariza , M. Ortiz

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

Geophysics · Physics 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

The classical variational phase-field model for brittle fracture effectively predicts the growth of large pre-existing cracks. However, the modeling of crack nucleation continues to be a significant challenge. Crack nucleation under uniform…

Materials Science · Physics 2025-02-10 Umar Khayaz , Aarosh Dahal , Aditya Kumar

In order to investigate the evolutionary process of many deterministic Dynamical systems with unfixed parameter, a set of dynamical models with parameter changing continuously and the accumulation of this change might be large is introduced…

comp-gas · Physics 2008-02-03 H. P. Fang

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

Progressive damage, which eventually leads to failure, is ubiquitous in biological and synthetic polymers. The simplest case to consider is that of elastomeric materials, which can undergo large reversible deformations with negligible rate…

Soft Condensed Matter · Physics 2018-02-14 Brandon Talamini , Yunwei Mao , Lallit Anand

In the framework of a deep geological radioactive waste disposal in France, the hydromechanical properties of the designated host rock, the Callovo-Oxfordian claystone (COx), are investigated in laboratory tests. Experiments presented in…

Geophysics · Physics 2020-10-27 Philipp Braun , Siavash Ghabezloo , Pierre Delage , Jean Sulem , Nathalie Conil

This paper proposes a gamma process for modelling the damage that accumulates over time in the lumber used in structural engineering applications when stress is applied. The model separates the stochastic processes representing features…

Applications · Statistics 2017-08-25 Samuel W. K. Wong , James V. Zidek

The sensitivity of crack growth resistance to the choice of isotropic or kinematic hardening is investigated. Monotonic mode I crack advance under small scale yielding conditions is modelled via a cohesive zone formulation endowed with a…

Materials Science · Physics 2018-07-18 Emilio Martínez-Pañeda , Norman A. Fleck

Inspired by the chemical etching processes, where experiments show that growth rates depending on the local environment might play a fundamental role in determining the properties of the etched surfaces, we study here a model for kinetic…

Statistical Mechanics · Physics 2007-05-23 Raffaele Cafiero

Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these interactions and…

Soft Condensed Matter · Physics 2020-07-07 Yangkun Du , Yipin Su , Chaofeng Lu , Weiqiu Chen , Michel Destrade

Owing to the production process, short fiber reinforced composites exhibit a pronounced anisotropy of both elastic properties and crack growth resistance. In particular the latter issue has a major impact on crack deflection and inevitably…

Materials Science · Physics 2022-05-04 Andreas Ricoeur , Felix Lindner , Konstantin Zarjov

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The…

Soft Condensed Matter · Physics 2009-11-11 M. Cristina Marchetti

There is a well-established relation between the spatial asymmetry in the initial stage of a heavy-ion collision and the final momentum anisotropy, which allows for a separation of effects from initial conditions vs. later evolution and has…

Nuclear Theory · Physics 2020-06-04 Rodrigo Franco , Matthew Luzum

We investigate the evolution of axis ratios, roundness (isoperimetric ratio) and the number of static balance points under distance-driven flows. The latter have already been proposed by Aristotle as models of particle shape evolution and…

Metric Geometry · Mathematics 2018-02-01 Gabor Domokos , Zsolt Langi

The differential evolution indicators, recently introduced for imaging mechanical evolution in highly scattering solids, is examined in a laboratory setting with the focus on spatiotemporal tracking of an advancing damage zone in an elastic…

Applied Physics · Physics 2021-06-30 Fatemeh Pourahmadian