Showing papers by "Stewart A. Silling published in 2012"
TL;DR: In this paper, the authors presented an analysis approach based on a merger of the finite element method and the peridynamic theory to assess the durability of complex composite structures, and their validity was established through qualitative and quantitative comparisons against the test results for a stiffened composite curved panel with a central slot under combined internal pressure and axial tension.
168 citations
TL;DR: In this article, the authors present a rigorous derivation for the formulation of the J-integral in bond-based peridynamics using the crack infinitesimal virtual extension approach.
Abstract: This work presents a rigorous derivation for the formulation of the J-integral in bond-based peridynamics using the crack infinitesimal virtual extension approach. We give a detailed description of an algorithm for computing this nonlocal version of the J-integral. We present convergence studies (m-convergence and δ-convergence) for two different geometries: a single edge-notch configuration and a double edge-notch sample. We compare the results with results based on the classical J-integral and obtained from FEM calculations that employ special elements near the crack tip. We identify the size of the nonlocal region for which the peridynamic J-integral value is near the classical FEM solutions. We discuss how the boundary conditions and the peridynamic “skin effect” may influence the peridynamic J-integral value. We also observe, computationally, the path-independence of the peridynamic J-integral.
84 citations
01 Sep 2012
TL;DR: Peridigm is Sandia’s primary open-source computational peridynamics code, which performs explicit dynamic, implicit dynamic, and quasistatic analyses utilizing powerful nonlinear and linear solvers.
Abstract: Peridigm is Sandia’s primary open-source computational peridynamics code. It is a component software project, built largely upon Sandia’s Trilinos project and Sandia’s agile software components efforts. It is massively parallel, utilizes peridynamic state-based material models, Exodus/Genesis-format mesh input, Exodus-format output, and multiple material blocks. It performs explicit dynamic, implicit dynamic, and quasistatic analyses utilizing powerful nonlinear and linear solvers.
81 citations