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Dissertations / Theses on the topic 'Peridynamics'

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Published: 4 June 2021
Last updated: 6 September 2023

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1

Degl'Incerti, Tocci Corrado. "Analysis of Composites using Peridynamics." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/25351.

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Since the last century a lot of effort has been spent trying to analyze damage and crack evolution in solids. This field is of interest because of the many applications that require the study of the behavior of materials at the micro- or nanoscale, i.e. modeling of composites and advanced aerospace applications. Peridynamics is a recently developed theory that substitutes the differential equations that constitute classical continuum mechanics with integral equations. Since integral equations are valid at discontinuities and cracks, peridynamics is able to model fracture and damage in a more n
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2

Diyaroglu, Cagan. "Peridynamics and its applications in marine structures." Thesis, University of Strathclyde, 2016. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26573.

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Prediction of fracture and failure is a challenging research area. There are various methods available in the literature for this purpose including well-known finite element (FE) method. FE method is a powerful technique for deformation and stress analysis of structures. However, it has various disadvantageous in predicting failure due to its mathematical structure since it is based on classical continuum mechanics (CCM). CCM has governing equations in the form of partial differential equations. These equations are not valid if the displacement field is discontinuous as a result of crack occur
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3

Oterkus, Selda. "Peridynamics For The Solution Of Multiphysics Problems." Diss., The University of Arizona, 2015. http://hdl.handle.net/10150/555945.

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This study presents peridynamic field equations for mechanical deformation, thermal diffusion, moisture diffusion, electric potential distribution, porous flow and atomic diffusion in either an uncoupled or a coupled manner. It is a nonlocal theory with an internal length parameter. Therefore, it can capture physical phenomenon for the problems which include non-local effects and are not suitable for classical theories. Moreover, governing equations of peridynamics are based on integro-differential equations which permits the determination of the field variable in spite of discontinuities. Inh
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4

Bazazzadeh, Soheil. "Discontinuous mechanical problems studied with a Peridynamics-based approach." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3425762.

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The classical theory of solid mechanics is rooted in the assumption of a continuous distribution of mass within a body. It employs partial differential equations (PDEs) with significant smoothness to obtain displacements and internal forces of the body. Although classical theory has been applied to wide range of engineering problems, PDEs of the classical theory cannot be applied directly on a discontinuity such as cracks. Peridynamics is considered to be an alternative and promising nonlocal theory of solid mechanics that, by replacing PDEs of classical theory with integral or integro-differe
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5

Kilic, Bahattin. "Peridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materials." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/193658.

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The classical continuum theory is not capable of predicting failure without an external crack growth criteria and treats the interface having zero thickness. Alternatively, a nonlocal continuum theory referred to as peridynamic theory eliminates these shortcomings by utilizing formulation that uses displacements, rather than derivatives of displacements, and including material failure in its constitutive relations through the response functions. This study presents a new response function as part of the peridynamic theory to include thermal loading. Furthermore, an efficient numerical algorit
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6

Dipasquale, Daniele. "Adaptive Grid Refinement and Scaling Techniques Applied to Peridynamics." Doctoral thesis, Università degli studi di Padova, 2017. http://hdl.handle.net/11577/3426213.

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Peridynamics, a recently proposed non-local continuum theory, is particularly suitable to describe fracture phenomena in a wide range of materials. One of most common techniques for its numerical implementation is based on a mesh-free approach, in which the whole body is discretized with a uniform grid and a constant horizon, the latter related to the length-scale of the material and/or of the phenomenon analysed. As a consequence of that, computational resources may not be used efficiently. The present work proposes adaptive refinement/scaling algorithms for 2D and 3D peridynamic grids, to redu
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7

Bang, Dongjun. "Peridynamic Modeling of Hyperelastic Materials." Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/595809.

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This study concerns the development of the peridynamic strain energy density function for a Neo-Hookean type membrane under equibiaxial, planar and uniaxial loading conditions. The material parameters for each loading case are determined by equating the peridynamic strain energy to those of the classical continuum mechanics. Therefore, the peridynamic equations of motion are derived based on the Neo-Hookean model under the assumption of incompressibility. Numerical results concern the deformation of a membrane without and with a defect in the form of a hole, an inclusion and a crack under equi
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8

Sadat, Mohammad Rafat, and Mohammad Rafat Sadat. "Using Molecular Dynamics and Peridynamics Simulations to Better Understand Geopolymer." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/626361.

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Geopolymer is a novel cementitious material which can be a potential alternative to ordinary Portland cement (OPC) for all practical applications. However, until now research on this revolutionary material is limited mainly to experimental studies, which have the limitations in considering the details of the atomic- and meso-scale structure and atomic scale mechanisms that govern the properties at the macro-scale. Most experimental studies on geopolymer have been conducted focusing only on the macroscopic properties and considering it as a single-phase material. However, research has shown tha
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9

Glaws, Andrew Taylor. "Finite Element Simulations of Two Dimensional Peridynamic Models." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/48121.

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This thesis explores the science of solid mechanics via the theory of peridynamics. Peridynamics has several key advantages over the classical theory of elasticity. The most notable of which is the ease with which fractures in the the material are handled. The goal here is to study the two theories and how they relate for problems in which the classical method is known to work well. While it is known that state-based peridynamic models agree with classical elasticity as the horizon radius vanishes, similar results for bond-based models have yet to be developed. In this study, we use nume
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10

Colavito, Kyle Wesley. "Peridynamics for Failure and Residual Strength Prediction of Fiber-Reinforced Composites." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/311300.

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Peridynamics is a reformulation of classical continuum mechanics that utilizes integral equations in place of partial differential equations to remove the difficulty in handling discontinuities, such as cracks or interfaces, within a body. Damage is included within the constitutive model; initiation and propagation can occur without resorting to special crack growth criteria necessary in other commonly utilized approaches. Predicting damage and residual strengths of composite materials involves capturing complex, distinct and progressive failure modes. The peridynamic laminate theory correc
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11

Oterkus, Erkan. "Peridynamic Theory for Modeling Three-Dimensional Damage Growth in Metallic and Composite Structures." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/145366.

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A recently introduced nonlocal peridynamic theory removes the obstacles present in classical continuum mechanics that limit the prediction of crack initiation and growth in materials. It is also applicable at different length scales. This study presents an alternative approach for the derivation of peridynamic equations of motion based on the principle of virtual work. It also presents solutions for the longitudinal vibration of a bar subjected to an initial stretch, propagation of a pre-existing crack in a plate subjected to velocity boundary conditions, and crack initiation and growth in a p
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12

Yu, Kebing. "Enhanced integration methods for the peridynamic theory." Diss., Kansas State University, 2011. http://hdl.handle.net/2097/10750.

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Doctor of Philosophy<br>Department of Mechanical and Nuclear Engineering<br>Kevin B. Lease<br>Xiao J. Xin<br>Peridynamics is a non-local continuum theory that formulates problems in terms of integration of interactions between the material points. Because the governing equation of motion in the peridynamic theory involves only integrals of displacements, rather than derivatives of displacements, this new theory offers great advantages in dealing with problems that contain discontinuities. Integration of the interaction force plays an important role in the formulation and numerical impleme
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13

Diehl, Patrick [Verfasser]. "Modeling and Simulation of cracks and fractures with peridynamics in brittle materials / Patrick Diehl." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1139048945/34.

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14

Pereira, Zenner Silva 1980. "Dinâmica molecular e peridynamics aplicadas a nanotecnologia : um estudo sobre filmes finos e nanofios metálicos." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277622.

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Orientador: Edison Zacarias da Silva<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin<br>Made available in DSpace on 2018-08-23T16:18:47Z (GMT). No. of bitstreams: 1 Pereira_ZennerSilva_D.pdf: 11614247 bytes, checksum: d882692dfdab010e889cb1717d250a1f (MD5) Previous issue date: 2013<br>Resumo: Nas últimas décadas uma geração de nanodispositivos foi desenvolvida. Estes dispositivos nanoeletrônicos são fabricados por novas técnicas fundamentadas em física, química e engenharia. Muitos desses nanomateriais têm suas propriedades físicas alteradas pelo ef
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15

Prakash, Naveen. "Coupled Electromechanical Peridynamics Modeling of Strain and Damage Sensing in Carbon Nanotube Reinforced Polymer Nanocomposites." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78803.

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This work explores the computational modeling of electromechanical problems using peridynamics and in particular, its application in studying the potential of carbon nanotube (CNT) reinforced nanocomposites for the purpose of sensing deformation and damage in materials. Peridynamics, a non-local continuum theory which was originally formulated for modeling problems in solid mechanics, has been extended in this research to electromechanical fields and applied to study the electromechanical properties of CNT nanocomposites at multiple length scales. Piezoresistivity is the coupling between the
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16

Shojaei, Barjoui Arman. "On the coupling of peridynamics with the classical theory of continuum mechanics in a meshless framework." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3423156.

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The classical theory of solid mechanics employs partial derivatives in the equation of motion and hence requires the differentiability of the displacement field. Such an assumption breaks down when simulation of problems containing discontinuities, such as cracks, comes into the picture. peridynamics is considered to be an alternative and promising nonlocal theory of solid mechanics that is formulated suitably for discontinuous problems. Peridynamics is well designed to cope with failure analysis as the theory deals with integral equations rather than partial differential equations. Indeed, pe
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17

Waxman, Rachel. "Effects of geometry and phase on material damage response under high-speed impact." VCU Scholars Compass, 2019. https://scholarscompass.vcu.edu/etd/6078.

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Peridynamics, presented by Silling in 2000 [1], is a reformulation of the elastic theory from differential equations to integral equations, which are more equipped to handle discontinuities, such as crack initiation and propagation. Because of this, peridynamics is an effective tool to address many of the problems relevant to the aerospace and defense industries. For example, airborne sand particles and raindrops cause local damage to aircraft in flight. This damage manifests itself as radial and subsurface lateral cracking, as well as increased surface roughness. All of these damage morpholog
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18

Birkey, Justin. "Development of Visual EMU, a graphical user interface for the peridynamic EMU code." Thesis, Manhattan, Kan. : Kansas State University, 2007. http://hdl.handle.net/2097/466.

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19

Cavuoto, Riccardo. "Phase-field and reduced peridynamic theories for fracture problems." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/322187.

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Several aspects of fracture nucleation and growth in brittle porous ceramics and in thin films are investigated, through analytical, numerical modelling, and experimental validation. A mechanical experimental characterization has been developed for a porous ceramic, namely, a 3D apatite, characterised by an oriented porosity and used for biomedical applications. The ceramic is produced from wood, so that the resulting porosity evidences a multi-scale nature, a feature determining peculiar failure mechanisms and an unprecedented porosity/strength ratio. In particular, the material exhibits an e
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20

Ren, Huilong [Verfasser], Timon [Akademischer Betreuer] Rabczuk, Klaus [Gutachter] Guerlebeck, and Klaus [Gutachter] Hackl. "Dual-horizon peridynamics and Nonlocal operator method / Huilong Ren ; Gutachter: Klaus Guerlebeck, Klaus Hackl ; Betreuer: Timon Rabczuk." Weimar : Bauhaus-Universität Weimar, 2021. http://d-nb.info/1231715081/34.

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21

Brothers, Michael. "A comparison of different methods for calculating tangent-stifess matrices in a massively parallel computational peridynamics code." Thesis, The University of Texas at San Antonio, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=1550324.

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<p> In order to maintain the quadratic convergence properties of the first-order Newton's method in quasi-static nonlinear analysis of solid structures it is crucial to obtain accurate, algorithmically consistent tangent-stiffness matrices. For an extremely small class of nonlinear material models, these consistent tangent-stiffness operators can be derived analytically; however, most often in practice, they are found through numerical approximation of derivatives. A goal of the study de- scribed in this thesis was to establish the suitability of an under-explored method for computing ta
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22

Van, Der Merwe Carel Wagener. "A peridynamic model for sleeved hydraulic fracture." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/95993.

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Thesis (MEng)--Stellenbosch University, 2014.<br>ENGLISH ABSTRACT: Current numerical methods in the eld of hydraulic fracturing are based mainly on continuum methods, such as the Finite Element Method (FEM) and the Boundary Element Method (BEM). These methods are governed by Linear Elastic Fracture Mechanics (LEFM) criteria, which su er from the inherent aw of a non-physical stress representation at the fracture tip. In response to this, a non-local method is proposed, namely the peridynamic theory, to model sleeved hydraulic fracture. A 2D implicit quasi-static ordinary state based p
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23

Celik, Emrah. "MECHANICAL CHARACTERIZATION OF METALLIC NANOWIRES BY USING A CUSTOMIZED ATOMIC MICROSCOPE." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/195425.

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A new experimental method to characterize the mechanical properties of metallic nanowires is introduced. An accurate and fast mechanical characterization of nanowires requires simultaneous imaging and testing of nanowires. However, there exists no practical experimental procedure in the literature that provides a quantitative mechanical analysis and imaging of the nanowire specimens during mechanical testing. In this study, a customized atomic force microscope (AFM) is placed inside a scanning electron microscope (SEM) in order to locate the position of the nanowires. The tip of the atomic
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24

Sarego, Giulia. "Structural material damage: novel methods of analysis." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3427223.

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In the classical continuum theory of solid mechanics, the mathematical framework involves partial derivatives to represent the state of deformation of a solid body. A significant drawback due to derivatives is related to the unphysical results given near the discontinuities, because they are undefined wherever a continuous field of displacements is not verified, such as in the presence of dislocations, voids, cracks, interfaces between different phases within the same body and grain boundaries. Various techniques were employed for overcoming this incapability of the classical theory in
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25

Hafezi, M. H., R. Alebrahim, and T. Kundu. "Crack propagation modeling using Peridynamic theory." SPIE-INT SOC OPTICAL ENGINEERING, 2016. http://hdl.handle.net/10150/622515.

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Crack propagation and branching are modeled using nonlocal peridynamic theory. One major advantage of this nonlocal theory based analysis tool is the unifying approach towards material behavior modeling- irrespective of whether the crack is formed in the material or not. No separate damage law is needed for crack initiation and propagation. This theory overcomes the weaknesses of existing continuum mechanics based numerical tools (e.g. FEM, XFEM etc.) for identifying fracture modes and does not require any simplifying assumptions. Cracks grow autonomously and not necessarily along a prescribed
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26

De, Meo Dennj. "Peridynamic modelling of localised corrosion damage." Thesis, University of Strathclyde, 2016. http://digitool.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=27711.

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Due to their unpredictability, rapid growth and difficulty of detection, localised forms of corrosion represent a threat to human life and the environment. The current empirical and semi-empirical approaches used by engineers to hinder corrosion damage have several disadvantages and limitations. In this regard, numerical approaches can be a valuable complement. However, the majority of the numerical techniques currently available in the literature are based on partial differential equations, which become invalid in the presence of field’s discontinuities such as cracks and sharp concentration
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27

Agwai, Abigail G. "A Peridynamic Approach for Coupled Fields." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/204892.

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Peridynamics is an emerging nonlocal continuum theory which allows governing field equations to be applicable at discontinuities. This applicability at discontinuities is achieved by replacing the spatial derivatives, which lose meaning at discontinuities, with integrals that are valid regardless of the existence of a discontinuity. Within the realm of solid mechanics, the peridynamic theory is one of the techniques that has been employed to model material fracture. In this work, the peridynamic theory is used to investigate different fracture problems in order to establish its fidelity for
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28

Seitenfuss, Alan Bourscheidt. "On the behavior of a linear elastic peridynamic material." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-22062017-100938/.

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The peridynamic theory is a generalization of classical continuum mechanics and takes into account the interaction between material points separated by a finite distance within a peridynamic horizon &#948;. The parameter &#948; corresponds to a length scale and is treated as a material property related to the microstructure of the body. Since the balance of linear momentum is written in terms of an integral equation that remains valid in the presence of discontinuities, the peridynamic theory is suitable for studying the material behavior in regions with singularities. The first part of this
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Hafezi, Mohammad Hadi, and Mohammad Hadi Hafezi. "Peridynamic Modeling and Extending the Concept to Peri-Ultrasound Modeling." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/625456.

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In this dissertation, a novel fast modeling technique called peri-ultrasound that can model both linear and nonlinear ultrasonic behavior of materials is developed and implemented. Nonlinear ultrasonic response can detect even very small material non- linearity. Quantification of the material nonlinearity at the early stages of damage is important to avoid catastrophic failure and reduce repair costs. The developed model uses the nonlocal continuum-based peridynamic theory which was found to be a good simulation tool for handling crack propagation modeling, in particular when multiple cracks g
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Hu, Yile, and Yile Hu. "Peridynamic Modeling of Fiber-Reinforced Composites with Polymer and Ceramic Matrix." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/625367.

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This study focuses on developing novel modeling techniques for fiber-reinforced composites with polymer and ceramic matrix based on Peridynamic approach. To capture the anisotropic material behaviors of composites under quasi-static and dynamic loading conditions, a new peridynamic model for composite laminate and a modified peridynamic approach for non-uniform discretization are proposed in this study. In order to achieve the numerical implementation of the proposed model and approach, a mixed implicit-explicit solver based on GPU parallel computing is developed as well. The new peridynamic
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31

Le, Quang Van. "Relationship between Microstructure and Mechanical Properties in Bi2Sr2CaCu2Ox Round Wires Using Peridynamic Simulation." Thesis, North Carolina State University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3584007.

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<p> Bi<sub>2</sub>Sr<sub>2</sub>CaCu<sub>2</sub>Ox (Bi2212) superconducting round wires are a well-known high temperature superconductor due to their isotropic properties, high fill factor, and ease of winding. There have been extensive experiments to improve the wires&rsquo; performance, yet there is little understanding of how the internal microstructure of the wires influences the mechanical behavior. This is due to the multiple phases and their complex arrangements inside the wires, making it challenging for traditional approaches to investigate and simulate the wires&rsquo; behavior. The
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Bai, Ruqing. "Numerical modeling of isotropic and composites structures using a shell-based peridynamic method." Thesis, Compiègne, 2019. http://www.theses.fr/2019COMP2482.

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Le travail de thèse porte sur de nouveaux compléments et améliorations pour la théorie de la péridynamique concernant la modélisation numérique de structures minces telles que les poutres et les plaques, les composites isotropes et multicouches soumis à un chargement dynamique. Nos développements ont principalement porté sur l'exploration des possibilités offertes par la méthode péridynamique, largement appliquée dans divers domaines de l'ingénierie où des discontinuités fortes ou faibles peuvent se produire, telles que des fissures. La procédure de généralisation de la méthode Peridynamics po
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Jin, Yudan. "Etude expérimentale et modélisation numérique de la fissuration par retrait de dessiccation des matériaux cimentaires : influences de la rigidité et de la taille des inclusions." Thesis, Lille, 2021. http://www.theses.fr/2021LILUI019.

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La fissuration induite par le retrait de dessiccation est un mécanisme essentiel à prendre en compte dans l'étude de la durabilité des matériaux et structures à base de ciment. La présente thèse est consacrée à l'étude expérimentale et à la modélisation numérique de ce mécanisme en mettant l'accent sur les influences de la rigidité et de la taille des inclusions. La thèse est composée de deux parties.La première partie est consacrée à l'étude expérimentale. Une série d'échantillons de béton sont d'abord préparés avec des inclusions artificielles de différentes rigidités. Ces échantillons sont
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Tupek, Michael Ronne. "Extension of the peridynamic theory of solids for the simulation of materials under extreme loadings." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/87481.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 171-185).<br>The simulation of materials exposed to extreme loads, as is relevant in many areas of engineering, including protection materials, impact damage in turbine engines and high velocity impact in space, remains one of the key challenges in the field of computational mechanics. Despite significant advances, a fully robust and generally applicable computational framework for simulating the response
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Dereure, Corentin. "Comportement mécanique des verres sous choc produit par interaction laser-matière : une approche expérimentale et numérique multi-échelles." Thesis, Rennes 1, 2019. http://www.theses.fr/2019REN1S018/document.

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Le verre de silice (SiO₂) est un des matériaux les plus couramment utilisés dans notre société moderne. Il est notamment employé dans des structures à haut niveau de risque, telles que les verrières d'engins spatiaux ou les protections d'équipements optiques. Cette thèse est effectuée dans le cadre du projet ANR GLASS, qui a pour objectif de faire évoluer les moyens servant à en étudier le comportement sous chargement dynamique (hautes pressions et hautes vitesses de déformations). Elle est focalisée sur l'étude expérimentale de la silice dans ce domaine, afin notamment de permettre un dialogu
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Conradie, Johannes Hendrik. "Characterising failure of structural materials using digital images." Thesis, Stellenbosch : Stellenbosch University, 2015. http://hdl.handle.net/10019.1/96755.

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Thesis (MEng)--Stellenbosch University, 2015.<br>ENGLISH ABSTRACT: The fracture of ductile materials is currently regarded as a complex and challenging phenomenon to characterise and predict. Recently, a bond-based, non-local theory was formulated called the peridynamic theory, which is able to directly solve solid mechanics problems that include fracture. The failure criterion is governed by a critical stretch relation between bonds. It was found in literature that the critical stretch relates to the popular fracture mechanics parameter called the critical energy release rate for predict
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37

Bargos, Fabiano Fernandes 1984. "Aspects of the discretized peridynamic theory and the finite element method for concurrent multiscale simulation = Aspectos da teoria peridinâmica discretizada e do método dos elementos finitos para simulação em múltiplas escalas concorrentes." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263447.

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Orientador: Marco Lucio Bittencourt<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica<br>Made available in DSpace on 2018-08-22T02:31:27Z (GMT). No. of bitstreams: 1 Bargos_FabianoFernandes_M.pdf: 142755072 bytes, checksum: b7dcee861f8864c85cd32b66447f6d26 (MD5) Previous issue date: 2009<br>Resumo: Nesse trabalho, considera-se a simulação em múltiplas escalas concorrentes, usando a teoria peridinâmica e a elasticidade clássica, para a simulação de problemas de engenharia. Primeiramente a teoria peridinâmica em uma dimensão é estudada em detalhes
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Evangelatos, Georgios. "Propagation via a Peridynamics Formulation: A Stochastic\Deterministic Perspective." Thesis, 2011. http://hdl.handle.net/1911/64430.

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Novel numerical methods for treating fractional differential and integrodifferential equations arising in non local mechanics formulations are proposed. For fractional differential equations arising in modeling oscillatory systems incorporating viscoelastic elements governed by fractional derivatives, the devised scheme is based on the Grunwald-Letnikov fractional derivative representation, dual time meshing technique and Taylor expansion. The proposed algorithm transforms the governing fractional differential equation into a second order differential equation with appropriate effective coeffi
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Pelech, Petr. "Peridynamické a nelokální modely v mechanice kontinua pevných látek." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-352762.

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In this work we study peridynamics, a non-local model in continuum me- chanics introduced by Silling (2000). The non-locality is reflected in the fact that points at finite distance exert a force upon each other. If, however, these points are more distant than a characteristic length called horizon, it is customary to assume that they do not interact. We compare peridynamics with elasticity, especially in the limit of small horizon. We restrict ourselves, concerning this vanishing non-locality, to variational formulation of time- independent processes. We compute a Γ-limit for homogeneous and
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Habibian, Anahita. "Multi-material topology optimization of structures with discontinuities using Peridynamics." Thesis, 2020. http://hdl.handle.net/1828/12528.

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This study proposes an approach for solving density-based multi-material topology optimization of cracked structures using Peridynamics. The alternating active-phase algorithm is utilized to transform the multi-material problem into a series of binary phase topology optimization sub-problems. Instead of the conventional mesh-based methods, the Peridynamics theory (PD) is used as a tool to model the behaviour of the materials and solve for the displacement field. The most significant advantage of PD is its ability to model discontinuities in a relatively straightforward manner. Thus, in the pre
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Kuo, Shih-Mo, and 郭士模. "The development of coupled peridynamics and iso-geometric analysis method for dynamic analysis." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/pe9sxd.

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碩士<br>國立臺灣海洋大學<br>系統工程暨造船學系<br>105<br>The thick plates (over 20 mm) are the most important structural member for the construction of ultra large ships and marine structures. One of the most essential design requirement for thick plates is the crack generation and accumulation, which greatly affect the reliability and safety of the structure. Therefore, the design rule usually demand shipyard to provide documents regarding crack accumulation for inspection. In order to satisfy the new design purpose, the method we proposed is the development of coupled peridynamics and iso-geometric analysis me
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Wang, Yongwei. "Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation for Material Failure." Diss., 2020. http://hdl.handle.net/10754/663729.

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The classical continuum mechanics, which studies the mechanical behavior of structures based on partial differential equations, shows its deficiencies when it encounters a discontinuity. Peridynamics based on integral equations can simulate fracture but suffers from high computational costs. A hybrid local/nonlocal model combining the advantages of peridynamics with those of classical continuum mechanics can simulate fracture and reduce the computational cost. Under the framework of the hybrid local/nonlocal model, this research developed an approach and computational codes for fracture simula
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Azdoud, Yan. "A hybrid local/non-local framework for the simulation of damage and fracture." Diss., 2014. http://hdl.handle.net/10754/312218.

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Recent advances in non-local continuum models, notably peridynamics, have spurred a paradigm shift in solid mechanics simulation by allowing accurate mathematical representation of singularities and discontinuities. This doctoral work attempts to extend the use of this theory to a community more familiar with local continuum models. In this communication, a coupling strategy - the morphing method -, which bridges local and non-local models, is presented. This thesis employs the morphing method to ease use of the non-local model to represent problems with failure-induced discontinuities. First,
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Pelech, Petr. "Variační metody v termomechanice kontinua pevné fáze." Doctoral thesis, 2020. http://www.nusl.cz/ntk/nusl-437540.

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The thesis is devoted to study of continuum mechanics and thermodynamics and the related mathematical analysis. It consists of four self-contained chapters dealing with different aspects. The first chapter focuses on peridynamics, a non-local theory of continuum mechanics, and its relation to conventional local theory of Cauchy-Green elasticity. Similar compar- isons has been used for proving consistency and for determining some of the material coefficients in peridynamics, provided the material parameters in the local theory are known. In this chapter the formula for the non-local force-flux
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Abdelhamid, Ahmed. "A non-gradient heuristic topology optimization approach using bond-based peridynamic theory." Thesis, 2017. https://dspace.library.uvic.ca//handle/1828/8452.

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Peridynamics (PD), a reformulation of the Classical Continuum Mechanics (CCM), is a new and promising meshless and nonlocal computational method in solid mechanics. To permit discontinuities, the PD integro-differential equation contains spatial integrals and time derivatives. PD can be considered as the continuum version of molecular dynamics. This feature of PD makes it a good candidate for multi-scale analysis of materials. Concurrently, the topology optimization has also been rapidly growing in view of the need to design lightweight and high performance structures. Therefore, this thesis p
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