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Showing 1 to 20 of 25 for “"Peridynamics"”.
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Peridynamics and Applications
Peridynamics is a nonlocal mechanics theory using integro-differential equations without spatial derivatives. Unlike the classical continuum mechanics, peridynamics possesses certain advantages when solving problems involving cracks. In the beginning of the thesis, an analytical solution to the …
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Analysis of Composites using Peridynamics
… 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 …
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Peridynamics For The Solution Of Multiphysics Problems
… theories. Moreover, governing equations of peridynamics are based on integro-differential equations which permits the determination of the field variable in spite of discontinuities. Inherent with the nonlocal formulations, the imposition of the boundary conditions requires volume …
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Parallel simulation of reinforced concrete sructures using peridynamics
… Stewart Silling introduced the concept of peridynamics in 1998. Similar to molecular dynamics, peridynamic modeling of a physical structure involves simulating interacting particles subjected to an empirical force field. The evolution of interacting particles determines the deformation of …
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Simulation of Fracture of Concrete Using Micropolar Peridynamics
… fracture of concrete using the micropolar peridynamics model. Micropolar peridynamics was proposed by Gerstle in 2007 as a generalization to the bond based peridynamics method introduced by Silling in 2000, which was only capable of handling materials with specific Poissons ratios. Inspired …
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Modeling of fluid-structure interaction with fracturing using peridynamics
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms
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Quasi-static non-ordinary state-based peridynamics for the modeling of 3D fracture
… of numerical methods used in fracture mechanics, peridynamics is a particle-based continuum model that addresses some shortcomings of other methods. In this work, a quasi-static linearly elastic implicit parallel implementation of the non-ordinary state-based peridynamics formulation is presented …
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An integrated peridynamics-finite volume based multi-phase flow, geomechanics and hydraulic fracture model
… into the physics governing these phenomena. Peridynamics-based hydraulic fracturing model developed by Ouchi (2016) has been demonstrated to capture all of these phenomena. However, its major drawback is that it is computationally expensive. In this dissertation, we have extended the …
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Multiscale Peridynamics Analysis of Nanocomposites and Energetic Materials Using Nonlocal and Local Interface Models
… nonlocal continuum mechanics framework known as peridynamics is used to perform the computational simulations. Peridynamics uses integro-differential equations for conservation laws instead of partial differential equations as in the classical continuum mechanics. This makes it possible for …
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Coupled Electromechanical Peridynamics Modeling of Strain and Damage Sensing in Carbon Nanotube Reinforced Polymer Nanocomposites
… 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 …
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Integrating Peridynamics to Material Point Method for Modelling Solids and Fracture Dynamics in High Velocity Impact.
… containing fractures. We are inspired by Peridynamics (PD) which is oriented toward deformations with discontinuities. This study exploits the PD within the MPM scheme to mitigate the difficulties inherent in handling fractures. First, we propose an integral-based MPM by adopting a PD …
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Global/local and coupled high order FEM-Peridynamics models for fracture analysis of isotropic and composite structures
L'abstract è presente nell'allegato / the abstract is in the attachment
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Peridynamic constitutive model for concrete
Peridynamics, as originally proposed by Silling in 1998, is a spatio-temporal integral reformulation of the classical partial differential equations of motion. In contrast with the classical theory, the concepts of stress and strain are not needed in peridynamics. The original bond-based …
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Development and applications of new peridynamic models
… this study presents a theory, so-called peridynamics, based on integral equations. Similar to molecular dynamics, peridynamics assumes that the domain of interest is organized by points. Each point interacts with every other point within a horizon through a bond. Damage at a point takes …
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The State-Based Peridynamic Lattice Model
… mechanics, Silling proposed a new method called peridynamics. Peridynamics assumes that a material is made up of particles which interact with each other via forces. In this thesis we introduce the state-based peridynamic lattice model (SPLM) and describe its fundamental assumptions. SPLM …
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Finite Element Simulations of Two Dimensional Peridynamic Models
… 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 …
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Peridynamic modelling of localised corrosion damage
… based on integro-differential equations, peridynamics, is used for the first time for the modelling of polycrystalline fracture, stress-corrosion cracking, pitting corrosion and crack propagation from corrosion pits in steels exposed to different corrosive environments. The results are …
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Extension of the peridynamic theory of solids for the simulation of materials under extreme loadings
… a thorough investigation into the theory of peridynamics and its numerical implementation as a promising alternative approach for simulating extreme material response. Peridynamics is a relatively new nonlocal formulation of continuum mechanics based on integral equations. It includes a …
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Transient wave propagation on random fields with fractal and Hurst effects
… results. We also include the response of peridynamics, a non-local continuum mechanics theory which is based on an integro-differential governing equation. We then introduce disorder to the mass-density. We first evaluate the surface response of cellular automata to uncorrelated …
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The State-based Peridynamic Lattice Model and Reinforced Concrete Structures
… Silling has proposed a nonlocal theory called peridynamics and Gerstle has specialized his idea to develop the state-based peridynamic lattice model (SPLM). The SPLM sufficiently models nonlinear deformation fields using an organized lattice, force states, and stretches. In this thesis, we use, …
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