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This paper develops stable finite element pairs for the linear stress gradient elasticity model, overcoming classical elasticity's limitations in capturing size effects. We analyze mesh conditions to establish parameter-robust error…

数值分析 · 数学 2025-08-05 Ting Lin , Shudan Tian

In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the…

偏微分方程分析 · 数学 2018-02-13 Vito Crismale , Giuliano Lazzaroni , Gianluca Orlando

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

We present a novel formalism to characterize elastic heterogeneities in amorphous solids. In particular, we derive high-order strain-energy expansions for pairwise energies under athermal quasistatic dynamics. We then use the presented…

软凝聚态物质 · 物理学 2024-01-03 David Richard

A three-dimensional mesoscopic viscoplasticity model for simulating rate-dependent plasticity and creep in unidirectional thermoplastic composites is presented. The constitutive model is a transversely isotropic extension of an isotropic…

计算工程、金融与科学 · 计算机科学 2025-10-01 P. Hofman , D. Kovačević , F. P. van der Meer , L. J. Sluys

We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in the actual evolving configuration. In particular, a fully…

偏微分方程分析 · 数学 2024-11-12 Alexander Mielke , Tomas Roubicek , Ulisse Stefanelli

The paper addresses a common assumption of elastoplastic modeling: that the recoverable, elastic strain increment is unaffected by alterations of the elastic moduli that accompany loading. This assumption is found to be false for a granular…

软凝聚态物质 · 物理学 2018-12-20 Matthew R. Kuhn , Ali Daouadji

In a recent paper, Zhou et al. [Mech Time-Depend Mater (2017) 21: 151] studied the time-dependent properties of Glass Fiber Reinforced Polymers composites by employing a new rheological model with a time-dependent viscosity coefficient.…

数学物理 · 物理学 2018-07-10 Ivano Colombaro , Roberto Garra , Andrea Giusti , Francesco Mainardi

In this paper we derive a new model for visco-elasticity with large deformations where the independent variables are the stretch and the rotation tensors which intervene with second gradients terms accounting for physical properties in the…

偏微分方程分析 · 数学 2024-10-21 Abramo Agosti , Pierluigi Colli , Michel Frémond

We investigate the evolution of a photoexcitation in correlated materials over a wide range of time scales. The system studied is a one-dimensional model of a manganite with correlated electron, spin, orbital, and lattice degrees of…

Here, we present a new thermomechanical geodynamic, numerical implementation that incorporates Maxwell viscoelastic rheology accounting for temperature-dependent power-law dislocation creep and pressure-sensitive, non-associated…

地球物理 · 物理学 2024-12-09 Ekeabino Momoh , Harsha S. Bhat , Stephen Tait , Muriel Gerbault

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

材料科学 · 物理学 2021-04-06 I. I. Tagiltsev , A. V. Shutov

Modern inelastic material model formulations rely on the use of tensor-valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the…

计算工程、金融与科学 · 计算机科学 2024-08-13 Tim van der Velden , Tim Brepols , Stefanie Reese , Hagen Holthusen

Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material…

材料科学 · 物理学 2015-03-18 Paolo Moretti , Benedetta Cerruti , M. -Carmen Miguel

The objective of this work is to assess computationally efficient coarse-grained plasticity models against high-fidelity crystal plasticity simulations for magnesium polycrystals over a wide range of textures and grain sizes. A basic…

材料科学 · 物理学 2026-01-13 R. Vigneshwaran , Showren Datta , A. A. Benzerga , Shailendra P. Joshi

Predicting the behaviour of complex systems is one of the main goals of science. An important example is plastic deformation of micron-scale crystals, a process mediated by collective dynamics of dislocations, manifested as broadly…

材料科学 · 物理学 2022-06-03 Marcin Mińkowski , David Kurunczi-Papp , Lasse Laurson

This textbook in French describes the rheology of granular materials in the quasi static regime at a macroscopic scale. It starts defining cohesion, friction and the Coulomb approach, from the large-strain range. Then it focuses on the…

软凝聚态物质 · 物理学 2007-05-23 P. Evesque

We study a relaxed formulation of the quasistatic evolution problem in the context of small strain associative elastoplasticity with softening. The relaxation takes place in spaces of generalized Young measures. The notion of solution is…

偏微分方程分析 · 数学 2007-05-23 Gianni Dal Maso , Antonio DeSimone , Maria Giovanna Mora , Massimiliano Morini

Rate- and state-dependent friction law for velocity-step tests is analyzed from a thermodynamic point of view. A simple macroscopic non-equilibrium thermodynamic model with a single internal variable reproduces instantaneous jump and…

地球物理 · 物理学 2014-11-19 Noa Mitsui , P. Ván

We study a class of time evolution models that contain dissipation mech- anisms exhibited by geophysical materials during deformation: plasticity, viscous dissipation and fracture. We formally prove that they satisfy a Clausius-Duhem type…

数值分析 · 数学 2015-06-19 Eric Bonnetier , Lukas Jakabcin , Stéphane Labbé , Anne Replumaz