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Simulations are used to study the steady shear rheology of dense suspensions of frictional particles exhibiting discontinuous shear thickening and shear jamming, in which finite-range cohesive interactions result in a yield stress. We…

软凝聚态物质 · 物理学 2019-03-13 Abhinendra Singh , Sidhant Pednekar , Jaehun Chun , Morton M. Denn , Jeffrey F. Morris

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

软凝聚态物质 · 物理学 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random…

统计力学 · 物理学 2015-05-13 J. Li , M. Ostoja-Starzewski

A mathematical model for poro-visco-plastic compaction and pressure solution in porous sediments has been formulated using the Voigt-type rheological constitutive relation as derived from experimental data. The governing equations reduce to…

地球物理 · 物理学 2010-03-30 Xin-She Yang

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

偏微分方程分析 · 数学 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

The theory of evolving natural configurations is an effective technique to model dissipative processes. In this paper, we use this theory to revisit nonlinear constitutive models of viscoelastic solids. Particularly, a Maxwell and a…

软凝聚态物质 · 物理学 2025-08-08 Tarun Singh , Sandipan Paul

In this paper, we propose an implicit staggered algorithm for crystal plasticity finite element method (CPFEM) which makes use of dynamic relaxation at the constitutive integration level. An uncoupled version of the constitutive system…

数值分析 · 数学 2024-06-27 Pedro Areias , Charles dos Santos , Rui Melicio , Nuno Silvestre

A novel general purpose Finite Element framework is presented to study small-scale metal plasticity. A distinct feature of the adopted distortion gradient plasticity formulation, with respect to strain gradient plasticity theories, is the…

材料科学 · 物理学 2017-11-16 Emilio Martínez-Pañeda , Christian F. Niordson , Lorenzo Bardella

Different compaction processes of the nanosized granular system, which is a prototype of an alumina nanopowder, are studied by the granular dynamics method. For all processes: compaction curves ''density vs. pressure'' of the powder compact…

软凝聚态物质 · 物理学 2020-04-15 G. Sh. Boltachev , E. A. Chingina , N. B. Volkov , K. E. Lukyashin

Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the…

This work introduces an end-to-end framework for inverse design of elastic networks directly in the space of constitutive behaviors. A constitutive prior is constructed from noisy stress-strain data using a latent representation that…

计算物理 · 物理学 2026-05-12 Jinkyo Han , Bahador Bahmani

This work presents a new constitutive and computational framework based on strain-like internal variables belonging to Sym(3) and two representative rheological configurations. The generalized Maxwell and generalized Kelvin-Voigt models are…

软凝聚态物质 · 物理学 2025-08-21 Chongran Zhao , Hongyan Yuan , Ju Liu

In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite…

材料科学 · 物理学 2011-11-08 J. Novák , Ł. Kaczmarczyk , P. Grassl , J. Zeman , C. J. Pearce

In this contribution, we present a novel consistent dual-stage approach for the automated generation of hyperelastic constitutive models which only requires experimentally measurable data. To generate input data for our approach, an…

计算工程、金融与科学 · 计算机科学 2025-04-23 Lennart Linden , Karl A. Kalina , Jörg Brummund , Brain Riemer , Markus Kästner

A standard elasto-plasto-dynamic model at finite strains based on the Lie-Liu-Kr\"oner multiplicative decomposition, formulated in rates, is here enhanced to cope with spatially inhomogeneous materials by using the reference (called also…

偏微分方程分析 · 数学 2023-04-13 Tomáš Roubíček , Giuseppe Tomassetti

We consider the numerical behavior of the fixed-stress splitting method for coupled poromechanics as undrained regimes are approached. We explain that pressure stability is related to the splitting error of the scheme, not the fact that the…

Compositional simulation is challenging, because of highly nonlinear couplings between multi-component flow in porous media with thermodynamic phase behavior. The coupled nonlinear system is commonly solved by the fully-implicit scheme.…

计算物理 · 物理学 2020-10-13 Jiamin Jiang , Xian-Huan Wen

Phase-field models of microstructural pattern formation during alloy solidification are commonly solved numerically using the finite-difference method, which is ideally suited to carry out computationally efficient simulations on massively…

材料科学 · 物理学 2022-02-17 Kaihua Ji , Amirhossein Molavi Tabrizi , Alain Karma

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…

材料科学 · 物理学 2020-10-20 Nathan Perchikov , Jacob Aboudi