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Showing 1 to 20 of 23 for “"Peridynamic"”.
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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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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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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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Peridynamic modeling of fire damage in composites
… equations at discontinuities. Therefore, the peridynamic theory which uses the integral governing equations is a good choice to predict the damage in composite materials. It will bring convenience to simulate the composite response in fire environments using a monolithic methodology. …
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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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Lattice-based peridynamic modeling of linear elastic solids
… of continuum mechanics, Silling introduced the peridynamic method in 1998. Gerstle and his colleagues generalized the peridynamic model in 2007, introducing the micropolar peridynamic model by considering not only the forces between the particles but also the moments. Both the peridynamic and …
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Fracture analysis in marine batteries by peridynamic theory
… of the fracture mechanics in marine battery, the peridynamic theory is applied in this thesis. Different from classical theory, peridynamic theory has applied spatial integral equations to describe the motion of material structure.;Therefore, it has great advantage on fracture analysis of material …
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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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Three-dimensional peridynamic modelling of quasi-brittle structural elements
The peridynamic theory provides a promising theoretical framework for developing robust numerical models capable of simulating the complex fracture processes in quasi-brittle materials. However, there is a lack of detailed validation studies in the literature, and significant work remains to …
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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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Peridynamic analysis of fatigue crack growth in fillet welded joints
… treating complicated patterns of crack growth. A peridynamic theory, however, has powerful advantage on discontinuities. A peridynamic fatigue model, which is a bond damage model of remaining life, is used to demonstrate two phases of fatigue failure, crack nucleation and crack growth. Two types …
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ANALYSIS OF BRAZILIAN SPLIT CYLINDER USING THE STATE BASED PERIDYNAMIC LATTICE MODEL
… notion for concrete. Stewart Silling invented peridynamics, which involves nonlocal solid modelling upon a continuous material space. Walter Gerstle developed a practical application of the peridynamic model for solid mechanics called the state-based peridynamic lattice model (SPLM). This …
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Peridynamic Modeling of Coupled Mechanical Deformations and Transient Flow in Unsaturated Soils
<p>A coupled peridynamic model for mechanical deformations and transient moisture flow in unsaturated soils is developed. The model is capable of simulating the emergence and evolution of cracks triggered by volumetric strains in the soil which are associated with changes in moisture content. The …
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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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Parallel simulation of particle dynamics with application to micropolar peridynamic lattice modeling of reinforced concrete Structures
… model reinforced concrete structures based on peridynamic theory [Silling 1998]. We discard the continuum mechanics paradigm completely, and model reinforced concrete by introducing the micropolar peridynamic lattice model (MPLM)'. The MPLM models a structure as a close-packed particle lattice. …
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Peridynamic Investigation of Stress-Strain Response and Fracture Behavior Variations in Micro-CT Images of Mock Energetic Nanocomposites
… the depth of a single sample were modeled in a peridynamics formulation to investigate changes in behaviors throughout the composite. The meshes, which included sugar, PDMS, and void phases, were modeled using tensile boundary conditions. The results from the y-direction elastic cases suggest …
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A continuum theory with long-range forces for solids
… continuum theory, introduced by Silling [61] as peridynamic theory, is analyzed. The theory differs from classical (local) continuum theories in that it involves long-range forces that act between continuum particles. In contrast to existing non-local theories, surface tractions are excluded. As …
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Lagrangian methods for ballistic impact simulations/
… particle methods, meshless methods, and the peridynamic approach. We review the continuum formulation of mechanics and its discretization using finite elements. A rigid body contact algorithm for explicit dynamic finite elements is presented and used to model a rigid sphere impacting 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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Peridynamics For The Solution Of Multiphysics Problems
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 …
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