Pablo Seleson

Highlights

Crack propagation in a semi-unbounded domain with two initial vertical pre-notches due to a rigid projectile impact.
Peridynamic elastic waves in two-dimensional unbounded domains: Construction of nonlocal Dirichlet-type absorbing boundary conditions

The focus of this paper is on application of peridynamics (PD) to propagation of elastic waves in unbounded domains. We construct absorbing boundary conditions (ABCs) derived from a semi-analytical…

Wave propagation in a viscous medium in the presence of two notches.
Dirichlet-type absorbing boundary conditions for peridynamic scalar waves in two-dimensional viscous media

Construction of absorbing boundary conditions (ABCs) for nonlocal models is generally challenging, primarily due to the fact that nonlocal operators are commonly associated with volume constrained…

IEAD comparison
Data-driven surrogate modeling of hPIC ion energy-angle distributions for high-dimensional sensitivity analysis of plasma parameters’ uncertainty

We present a data-driven strategy for effective construction of a surrogate model in high-dimensional parameter space for the ion energy-angle distribution (IEAD) output of hPIC simulations of plasma…

Contour plots of concentration in a 3D corrosion problem
A hybrid meshfree discretization to improve the numerical performance of peridynamic models

Efficient and accurate calculation of spatial integrals is of major interest in the numerical implementation of peridynamics. The standard way to perform this calculation is a particle-based approach…

The four symmetry groups (up to a change in orientation) of the elasticity tensor in 2D.
A new proof that the number of linear elastic symmetries in two dimensions is four

We present an elementary and self-contained proof that there are exactly four symmetry classes of the elasticity tensor in two dimensions: oblique, rectangular, square, and isotropic. In two…

Hat shape three-point bending test simulation
An FEM-based peridynamic model for failure analysis of unidirectional fiber-reinforced laminates

To predict the mixed damage modes of unidirectional fiber-reinforced polymer (FRP) laminates under dynamic loading, a finite element method (FEM) based peridynamic model is introduced in this work.…

Largest connected component of the 2019 peridynamics co-authorship network
The evolution of the peridynamics co-authorship network

Peridynamics is a relatively new field in continuum mechanics that has developed over the past 20 years. This work studies the evolution of collaborations in the field of peridynamics since its…

Distribution of displacement gradients in a three-point bending test. High gradients are concentrated around the applied load point (top center) as well as at the supports (bottom left and right) and at the crack tip (bottom center).
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics

Coupling peridynamics based computational tools with those using classical continuum mechanics can be very beneficial, because it can provide a means to generate a computational method that combines…

Novel anisotropic peridynamic kernels. Left: plane strain peridynamic kernel derived from a 3D cubic material model. Right: 2D peridynamic kernel for a square material model.
Anisotropic two-dimensional, plane strain, and plane stress models in classical linear elasticity and bond-based peridynamics

This paper concerns anisotropic two-dimensional and planar elasticity models within the frameworks of classical linear elasticity and the bond-based peridynamic theory of solid mechanics. We begin by…

Bond-based peridynamics: A tale of two Poisson’s ratios

This paper explores the restrictions imposed by bond-based peridynamics, particularly with respect to plane strain and plane stress models. We begin with a review of the derivations in [1] wherein…

Concentration evolution in a metallic corrosion problem. Top: reference solution. Bottom: solution with the proposed absorbing boundary conditions
Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models

Diffusion-type problems in (nearly) unbounded domains play important roles in various fields of fluid dynamics, biology, and materials science. The aim of this paper is to construct accurate…

Analytical and peridynamic (PD) saturation profiles.
A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media

A general state-based peridynamics model is developed to simulate transport of fluids in an arbitrary heterogeneous porous medium. The generality encompasses modeling of multiphase,…

Overview of classes of LtN coupling approaches and corresponding methods
A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to…