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Related papers: Modeling damage and fracture within strain-gradien…

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In this work a general framework for damage and fracture assessment including the effect of strain gradients is provided. Both mechanism-based and phenomenological strain gradient plasticity (SGP) theories are implemented numerically using…

Materials Science · Physics 2017-11-06 Emilio Martínez-Pañeda , Christian F. Niordson

The crack tip mechanics of strain gradient plasticity solids is investigated analytically and numerically. A first-order mechanism-based strain gradient (MSG) plasticity theory based on Taylor's dislocation model is adopted and implemented…

Applied Physics · Physics 2020-10-16 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , A. Tartygasheva

In this study, we use the mechanism-based strain gradient plasticity theory to evaluate both crack tip dislocation density behaviour and the coupled effect of the material plastic properties and the intrinsic material length on non-linear…

Applied Physics · Physics 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

In this work hydrogen diffusion towards the fracture process zone is examined accounting for local hardening due to geometrically necessary dislocations (GNDs) by means of strain gradient plasticity (SGP). Finite element computations are…

We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain…

Materials Science · Physics 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

Numerical Analysis · Mathematics 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

Finite element analysis of stress about a blunt crack tip, emphasizing finite strain and phenomenological and mechanism-based strain gradient plasticity (SGP) formulations, is integrated with electrochemical assessment of occluded-crack tip…

Materials Science · Physics 2017-11-17 Emilio Martínez-Pañeda , Christian F. Niordson , Richard P. Gangloff

Multiscale models of materials, consisting of upscaling discrete simulations to continuum models, are unique in their capability to simulate complex materials behavior. The fundamental limitation in multiscale models is the presence of…

Computational Engineering, Finance, and Science · Computer Science 2020-12-22 Jingye Tan , Umberto Villa , Nima Shamsaei , Shuai Shao , Hussein M. Zbib , Danial Faghihi

In this work, distortion gradient plasticity is used to gain insight into material deformation ahead of a crack tip. This also constitutes the first fracture mechanics analysis of gradient plasticity theories adopting Nye's tensor as primal…

Materials Science · Physics 2020-08-11 S. Fuentes-Alonso , E. Martínez-Pañeda

In this study, the effect of ferrite grain size on the mechanical properties and dislocation behavior of dual-phase (DP) steel is investigated using dislocation-based crystal plasticity finite element analysis. DP steel, composed of a soft…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Misato Suzuki , Mayu Muramatsu , Kazuyuki Shizawa

The role of grain size in determining fracture toughness in metals is incompletely understood with apparently contradictory experimental observations. We study this grain-size dependence computationally by building a model that combines the…

Materials Science · Physics 2025-07-01 Jean-Michel Scherer , Mythreyi Ramesh , Blaise Bourdin , Kaushik Bhattacharya

The plastic events occurring during the process of intergranular fracture in metals is still not well understood due to the complexity of grain boundary (GB) structures and their interactions with crack-tip dislocation plasticity. By…

Materials Science · Physics 2024-10-29 Kai Zhao , Yu Ding , Haiyang Yu , Jianying He , Zhiliang Zhang

In this paper the problem of a plane strain hydraulic fracture propagating in an elasto-plastic material is analyzed. A new stress redistribution model for the proximity of the fracture tip is formulated and a resulting plasticity-dependent…

Materials Science · Physics 2022-01-13 Michal Wrobel , Panos Papanastasiou , Daniel Peck

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

Mathematical Physics · Physics 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

Materials Science · Physics 2018-12-04 Rajat Arora , Amit Acharya

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

The evolution of metals micro/nano-structure upon severe plastic deformation (SPD) is still far to be theoretically explained, while experimental datasets are persistently growing. Major problem associated with understanding of SPD is a…

Materials Science · Physics 2021-09-06 E. F. Talantsev , M. V. Degtyarev , T. I. Chashchukhina , L. M. Voronova , V. P. Pilyugin

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

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…

Materials Science · Physics 2017-11-16 Emilio Martínez-Pañeda , Christian F. Niordson , Lorenzo Bardella
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