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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

The simulation of industrial processes involving cold compaction of powders allows for the optimization of the production of both traditional and advanced ceramics. The capabilities of a constitutive model previously proposed by the authors…

材料科学 · 物理学 2014-04-30 S. Stupkiewicz , A. Piccolroaz , D. Bigoni

This work presents a finite-strain version of an established three-dimensional constitutive model for polycrystalline shape memory alloys (SMA) that is able to account for the large deformations and rotations that SMA components may…

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and…

数学物理 · 物理学 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

偏微分方程分析 · 数学 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

Modeling microstructural evolution at large strains requires mechanical formulations that remain thermodynamically consistent while capturing significant lattice rotations and transformation-induced stresses. However, most existing…

材料科学 · 物理学 2025-11-21 Tushar Jogi

Many engineering applications of Shape Memory Alloys (SMAs) involve passing back and forth through phase transformation many times. Repeated phase transformation develops permanent deformations originating from the significant distortion…

材料科学 · 物理学 2018-12-20 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

An elasto-plastic model for concrete, based on a recently-proposed yield surface and simple hardening laws, is formulated, implemented, numerically tested and validated against available test results. The yield surface is smooth and…

材料科学 · 物理学 2014-04-28 F. Poltronieri , A. Piccolroaz , D. Bigoni

The two key phenomena occurring in the process of ceramic powder compaction are the progressive gain in cohesion and the increase of elastic stiffness, both related to the development of plastic deformation. The latter effect is an example…

数学物理 · 物理学 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

A family of constitutive models for mine cemented backfill is presented. Four formulas for the density- and pressure-dependency of elastic moduli, five formulas for the density- and pressure-dependency of friction angle and four formulas…

地球物理 · 物理学 2020-10-08 M. G. Sottile , N. A. Labanda , I. Garcia Mendive , O. Ledesma , A. O. Sfriso

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

材料科学 · 物理学 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under…

材料科学 · 物理学 2008-10-27 Francisco Gilabert , Jean-Noël Roux , Antonio Castellanos

An $hp$-adaptive continuous Galerkin finite element method is developed to analyze a static anti-plane shear crack embedded in a nonlinear, strain-limiting elastic body. The geometrically linear material is described by a constitutive law…

数值分析 · 数学 2025-08-01 S. M. Mallikarjunaiah , Pavithra Venkatachalapthy

We propose a physics and chemistry-based constitutive framework to predict the stress responses of thermo-chemically aged elastomers and capture their brittle failure using the phase-field approach. High-temperature aging in the presence of…

材料科学 · 物理学 2024-01-25 Aimane Najmeddine , Maryam Shakiba

We propose a thermodynamically based approach for constructing effective rate-type constitutive relations describing finite deformations of metamaterials. The effective constitutive relations are formulated as \emph{second-order} in time…

材料科学 · 物理学 2025-10-09 Vít Průša , Casey Rodriguez , Ladislav Trnka , Martin Vejvoda

We introduce a new class of mixed finite element methods for 2D and 3D compressible nonlinear elasticity. The independent unknowns of these conformal methods are displacement, displacement gradient, and the first Piola-Kirchhoff stress…

数值分析 · 数学 2019-10-22 Arzhang Angoshtari , Ali Gerami Matin

This paper presents an extension of the discrete element method using a phase-field formulation to incorporate grain shape and its evolution. The introduction of a phase variable enables an effective representation of grain geometry and…

材料科学 · 物理学 2024-04-09 Alexandre Sac-Morane , Manolis Veveakis , Hadrien Rattez

This paper presents a finite element model for the analysis of crack-tip fields in a transversely isotropic strain-limiting elastic body. A nonlinear constitutive relationship between stress and linearized strain characterizes the material…

数值分析 · 数学 2025-03-12 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

A Finite Element procedure based on a full implicit backward Euler predictor/corrector scheme for the Cosserat continuum is here presented. Since this is based on invariants of the stress and couple stress tensors and on the spectral…

数值分析 · 数学 2021-06-25 Andrea Panteghini , Rocco Lagioia

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

软凝聚态物质 · 物理学 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady
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