Numerical Analysis

Nodal finite element approximation of peridynamics
In this work, nodal finite element discretization is detailed.
PDF Cite Source Document DOI
Conference talk: Analysis and application of peridynamics to fracture in solids and granular media
Analysis and application of peridynamics to fracture in solids and granular media
Jul 25, 2021 12:00 AM Virtual Conference
Finite Element Approximation of Nonlocal Dynamic Fracture Models
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic fracture modeling. Here we use the …
PDF Cite Source Document DOI
Finite Element Convergence for State-Based Peridynamic Fracture Models
We establish the a priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We …
PDF Cite Source Document DOI
Conference talk: Numerical fracture experiments using nonlinear nonlocal models
Numerical fracture experiments using nonlinear nonlocal models
Jul 30, 2019 12:00 AM Austin, USA
PDF
Conference talk: Convergence results for finite element and finite difference approximation of nonlocal fracture
Convergence results for finite element and finite difference approximation of nonlocal fracture
Jul 17, 2019 12:00 AM Valencia, Spain
PDF
Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models
In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially …
PDF Cite Source Document DOI
Departmental seminar: Modelling fracture in solids using nonlocal interaction: A brief overview of Peridynamics
Overview of peridynamics theory of fracture and some results on robustness of finite difference and finite element discretizations
Apr 12, 2019 12:00 AM New Delhi, India
Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates
In this chapter we present a rigorous convergence analysis of finite difference and finite element approximation of nonlinear nonlocal …
PDF Cite Source Document DOI
Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formulate the evolution over suitable …
PDF Cite Source Document DOI