Deformation of a Peridynamic Bar

By Stewart A. Silling, Markus Zimmermann, R. Abeyaratne. 2003

205 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/57c92ad9761e1f2fcb0fd8cd64dcd49110e9ad10

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In Civil and Structural Engineering

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Peridynamic Theory of Solid Mechanics (2010, methodology): “An example taken from [70] is shown in Figure 8.”
Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites (2012, unknown): “This function is required to satisfy certain conditions of regularity; however, the set of allowable functions is quite large [33].”
Convergence, adaptive refinement, and scaling in 1D peridynamics (2009, methodology): “A more ‘exotic’ micromodulus function is given by the inverted triangular function shown in Figure 1(c) (this was used also in [38]; see comments below).”
Linearized Theory of Peridynamic States (2010, unknown): “Several studies have investigated the linearized bond-based theory, including [3, 4, 5, 6, 7, 8].”
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures (2014, result): “We also want to point out that this issue may be related to previous observations in the bond-based theory of peridynamics, where it was found that the choice of influence function critically affects the dispersion behavior of linear waves [20, 21].”
Peridynamic States and Constitutive Modeling (2007, background): “Recent theoretical work on the peridynamic model includes the study of discontinuities and other mathematical aspects of deformations in one-dimensional constitutively linear bodies [5, 6].”
A Fractional Model of Continuum Mechanics (2012, methodology): “to the micromodulus function used in the peridynamic linear elasticity [8, 49, 50 ].”
Impact Mechanics and High-Energy Absorbing Materials: Review (2008, background): “Silling et al. (2003) and Bobaru et al. (2008) discuss the peridynamic formulation for a one-dimensional bar, and the convergence of the peridynamic solution to the classical one in the limit of short-range forces is shown.”