A three-dimensional non-local lattice bond model for fracturing behavior prediction in brittle solids

2022 ◽  
Author(s):  
Liang Fu ◽  
Xiao-Ping Zhou ◽  
Filippo Berto
Keyword(s):  
Three Dimensional ◽  
Behavior Prediction ◽  
Bond Model ◽  
Brittle Solids ◽  
Local Lattice ◽  
Non Local

scholarly journals Peridynamic analysis of dynamic fracture: influence of peridynamic horizon, dimensionality and specimen size

2021 ◽  
Author(s):  
Sahir N. Butt ◽  
Günther Meschke
Keyword(s):  
Dynamic Fracture ◽  
Fracture Process ◽  
Three Dimensional ◽  
Specimen Size ◽  
Surface Topology ◽  
Linear Elastic ◽  
Brittle Solids ◽  
Non Local ◽  
Elastic Fracture ◽  
Three Dimensional Simulations

AbstractIn peridynamic models for fracture, the dissipated fracture energy is regularized over a non-local region denoted as the peridynamic horizon. This paper investigates the influence of this parameter on the dynamic fracture process in brittle solids, using two as well as three dimensional simulations of dynamic fracture propagation in a notched plate for two loading cases. The predicted crack speed for the various scenarios of the initially stored energy, also known as the velocity toughening behavior as well as characteristics of the crack surface topology obtained in different crack propagation regimes in 3D computational simulations are compared with the experimentally observed crack velocity and fracture surfaces for Polymethyl Methacrylate (PMMA) specimens. In addition, we investigate the influence of the specimen size on the dynamic fracture process using two dimensional peridynamic simulations. The fracture strengths and the velocity toughening relationship obtained from different specimen sizes are compared with the Linear Elastic Fracture Mechanics (LEFM) size effect relationship and with results from experiments, respectively.

scholarly journals Three dimensional band-filling control of complex oxides triggered by interfacial electron transfer

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Meng Meng ◽  
Yuanwei Sun ◽  
Yuehui Li ◽  
Qichang An ◽  
Zhenzhen Wang ◽  
...  
Keyword(s):  
Electron Transfer ◽  
Field Effect ◽  
Essential Role ◽  
Field Effect Transistors ◽  
Three Dimensional ◽  
Complex Oxides ◽  
Band Filling ◽  
Local Lattice ◽  
Oxygen Migration ◽  
Oxide Heterostructure

AbstractThe d-band-filling of transition metals in complex oxides plays an essential role in determining their structural, electronic and magnetic properties. Traditionally, at the oxide heterointerface, band-filling control has been achieved via electrostatic modification in the structure of field-effect transistors or electron transfer, which is limited to the quasi-two-dimension at the interface. Here we report a three-dimensional (3D) band-filling control by changing the local lattice coordination in a designed oxide heterostructure. At the LaCoO3/LaTiO3 heterointerface, due to the Fermi level mismatch, electrons transfer from LaTiO3 to LaCoO3. This triggers destabilisation of the CoO6 octahedrons, i.e. the formation of lattice configurations with a reduced Co valence. The associated oxygen migration results in the 3D topotactic phase transition of LaCoO3. Tuned by the thickness of LaTiO3, different crystalline phases and band-fillings of Co occur, leading to the emergence of different magnetic ground states.

scholarly journals Non-local problem with integral conditions for the three-dimensional high order hyperbolic equations

2020 ◽  
pp. 51-62
Author(s):  
Ш.Ш. Юсубов
Keyword(s):  
Integral Equation ◽  
Hyperbolic Equation ◽  
Hyperbolic Equations ◽  
Three Dimensional ◽  
High Order ◽  
Mixed Derivative ◽  
Local Problem ◽  
Integral Conditions ◽  
Order Hyperbolic Equation ◽  
Non Local

В работе для трехмерного гиперболического уравнения высокого порядка с доминирующей смешанной производной исследуется разрешимость нелокальной задачи с интегральными условиями. Поставленная задача сводится к интегральному уравнению и с помощью априорных оценок доказывается существование единственного решения. In the work the solvability of the non-local problem with integral conditions is investigated for the three-dimensional high order hyperbolic equation with dominated mixed derivative. The problem is reduced to the integral equation and existence of the solution is proved by the help of aprior estimations.

scholarly journals Beyond the lognormal approximation: a general simulation scheme

2020 ◽  
Vol 498 (2) ◽  
pp. 2663-2675
Author(s):  
Federico Tosone ◽  
Mark C Neyrinck ◽  
Benjamin R Granett ◽  
Luigi Guzzo ◽  
Nicola Vittorio
Keyword(s):  
Correlation Function ◽  
Random Fields ◽  
Three Dimensional ◽  
Analytical Techniques ◽  
Proof Of Concept ◽  
Matter Distribution ◽  
Modest Improvement ◽  
Local Properties ◽  
Non Local ◽  
Simulation Scheme

ABSTRACT We present a public code to generate random fields with an arbitrary probability distribution function (PDF) and an arbitrary correlation function. The algorithm is cosmology independent and applicable to any stationary stochastic process over a three-dimensional grid. We implement it in the case of the matter density field, showing its benefits over the lognormal approximation, which is often used in cosmology for the generation of mock catalogues. We find that the covariance of the power spectrum from the new fast realizations is more accurate than that from a lognormal model. As a proof of concept, we also apply the new simulation scheme to the divergence of the Lagrangian displacement field. We find that information from the correlation function and the PDF of the displacement–divergence provides modest improvement over other standard analytical techniques to describe the particle field in the simulation. This suggests that further progress in this direction should come from multiscale or non-local properties of the initial matter distribution.

A generalized 2D non-local lattice spring model for fracture simulation

2014 ◽  
Vol 54 (6) ◽  
pp. 1541-1558 ◽  
Author(s):  
Hailong Chen ◽  
Enqiang Lin ◽  
Yang Jiao ◽  
Yongming Liu
Keyword(s):  
Spring Model ◽  
Lattice Spring Model ◽  
Fracture Simulation ◽  
Local Lattice ◽  
Non Local

A non-local implicit gradient-enhanced model for thermomechanical behavior of shape memory alloys

2018 ◽  
Vol 29 (9) ◽  
pp. 1818-1834 ◽  
Author(s):  
Hojjat Badnava ◽  
Mohammad Mashayekhi ◽  
Mahmoud Kadkhodaei ◽  
Ahmad Amiri-Rad
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Coupling Effect ◽  
Three Dimensional ◽  
Finite Element Software ◽  
Non Local ◽  
Niti Shape Memory Alloys ◽  
Temperature Responses ◽  
Fully Coupled ◽  
Good Agreement

A three-dimensional, implicit gradient-enhanced, fully coupled thermomechanical constitutive model is developed within the framework of thermodynamic principles for NiTi shape memory alloys. This work focuses on unstable behaviors of NiTi samples under different thermomechanical loading conditions. Temperature variation and its coupling effect on non-local behavior of a shape memory alloy during a loading–unloading cycle at different strain rates are considered. The proposed constitutive equations are implemented into the finite element software ABAQUS, and the numerical investigations indicate that the used procedure is an effective computational tool for simulation of several behaviors of NiTi samples including phase front nucleation and propagation, stress–strain–temperature responses, and transformation-induced stress relaxation. The obtained results are shown to be in a good agreement with available experimental and numerical findings in the literature. The effectiveness of the model in removing mesh sensitivity is evaluated by investigating the mesh-dependence issue for the low strain rate problems through numerical examples.

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