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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…

材料科学 · 物理学 2017-11-06 Emilio Martínez-Pañeda , Christian F. Niordson

This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as…

数值分析 · 数学 2022-05-09 Shunsuke Kobayashi , Ryuichi Tarumi

An estimate of the effective toughness of heterogeneous materials is proposed based on the Phase Field Fracture model implemented in an FFT homogenization solver. The estimate is based on the simulation of the deformation of representative…

材料科学 · 物理学 2025-08-12 Pedro Aranda , Javier Segurado

An adaptive phase field method is proposed for crack propagation in brittle materials under quasi-static loading. The adaptive refinement is based on the recovery type error indicator, which is combined with the quadtree decomposition. Such…

数值分析 · 数学 2019-04-04 Hirshikesh , C Jansari , K Kannan , RK Annabattula , S Natarajan

A plastic crack model for smectic A liquid crystals under longitudinal shear is suggested. The solution of screw dislocation in smectic A is the key in which the correct result is just obtained by overcoming a longstanding puzzle [19]. We…

软凝聚态物质 · 物理学 2012-10-31 Tian You Fan

We present a new numerical approach for wave induced dynamic fracture. The method is based on a discontinuous Galerkin approximation of the first-order hyperbolic system for elastic waves and a phase-field approximation of brittle fracture…

数值分析 · 数学 2022-02-02 Kerstin Weinberg , Christian Wieners

Steel is a key structural material because of its considerable strength and ductility. However, when exposed to hydrogen, it is prone to embrittlement. Mechanistic understanding of the origin of hydrogen embrittlement is hampered by the…

材料科学 · 物理学 2025-12-16 Aleksei Egorov , Lei Zhang , Erik van der Giessen , Francesco Maresca

This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth across two symmetric stress barriers, while the latter is…

Nickel-based superalloys play a major role in many technologically relevant high temperature applications. Understanding and predicting the evolution of the phase microstructure during high temperature creep together with the evolution of…

材料科学 · 物理学 2016-05-26 Ronghai Wu , Stefan Sandfeld

We derive a phase field crystal model that couples the diffusive evolution of a microscopic structure with the fast dynamics of a macroscopic velocity field, explicitly accounting for the relaxation of elastic excitations. This model…

材料科学 · 物理学 2022-10-26 Vidar Skogvoll , Marco Salvalaglio , Luiza Angheluta

Recently proposed phase-field models offer self-consistent descriptions of brittle fracture. Here, we analyze these theories in the quasistatic regime of crack propagation. We show how to derive the laws of crack motion either by using…

材料科学 · 物理学 2009-11-13 Vincent Hakim , Alain Karma

In this article we formulate and implement a computational multiphase periporomechanics model for unguided fracturing in unsaturated porous media. The same governing equation for the solid phase applies on and off cracks. Crack formation in…

数值分析 · 数学 2022-03-29 Shashank Menon , Xiaoyu Song

We introduce a dislocation density tensor and derive its kinematic evolution law from a phase field description of crystal deformations in three dimensions. The phase field crystal (PFC) model is used to define the lattice distortion,…

材料科学 · 物理学 2022-06-06 Vidar Skogvoll , Luiza Angheluta , Audun Skaugen , Marco Salvalaglio , Jorge Viñals

The present contribution proposes a thermodynamically consistent model for the simulation of the ductile damage. The model couples the phase field method of fracture to the Armstrong-Frederick plasticity model with kinematic hardening. The…

材料科学 · 物理学 2021-06-07 Serhat Aygün , Tillmann Wiegold , Sandra Klinge

Variational phase-field models of brittle fracture are powerful tools for studying Griffith-type crack propagation in complex scenarios. However, as approximations of Griffith's theory-which does not incorporate a strength criterion-these…

应用物理 · 物理学 2026-01-06 Francesco Vicentini , Jonas Heinzmann , Pietro Carrara , Laura De Lorenzis

We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The framework accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of…

强关联电子 · 物理学 2023-04-20 Jay Armas , Erik van Heumen , Akash Jain , Ruben Lier

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…

应用物理 · 物理学 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

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…

材料科学 · 物理学 2022-01-13 Michal Wrobel , Panos Papanastasiou , Daniel Peck

Phase-field fracture models provide a powerful approach to modeling fracture, potentially enabling the unguided prediction of crack growth in complex patterns. To ensure that only tensile stresses and not compressive stresses drive crack…

Plastic response due to dislocation activity under intense electric fields is proposed as a source of breakdown. A model is formulated based on stochastic multiplication and arrest under the stress generated by the field. A critical…

等离子体物理 · 物理学 2018-03-28 Eliyahu Zvi Engelberg , Yinon Ashkenazy , Michael Assaf