Dynamic fracture modeling with a meshfree peridynamic code

By Stewart A. Silling. 2003

179 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5cec9d5464440447a5ab6680918da41c39d4d441

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Viscoplasticity using peridynamics (2010, background): “The reader is directed to [2, 6] for further explanations of modeling failure with peridynamics.”
Peridynamic Theory of Solid Mechanics (2010, methodology): “A numerical technique for approximating the peridynamic field equations was proposed in [61].”
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity (2007, background): “[22, 23], Silling [34], Silling & Askari [36, 35], Silling & Bobaru [37], Silling et al.”
Peridynamic States and Constitutive Modeling (2007, methodology): “Numerical techniques for solving the peridynamic equations include the EMU code [15, 16], as well as alternative quadrature techniques and solution methods [9, 10, 17].”
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis (2015, background): “Some representative research works using the bond-based PD model include the dynamic fracture of homogeneous and heterogeneous bar [6–8], damage and fracture of membranes and fibers [9,10], brittle fracture of polycrystals [11,12] and quenched glass [13], failure analysis of composites [14,15], and ”
A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities (2012, background): “The mechanical peridynamic theory ([78], [82]) has been successfully applied to model brittle fracture ([79], [80], [62], [71]), rupture of membranes and nanofiber networks ([81], [10]), spallation [95], damage in composite materials and polycrystalline ceramics ([96], [5]), phase transformations [3”
Dual-horizon peridynamics: A stable solution to varying horizons (2017, methodology): “For a plate made of steel 18Ni1900 subjected to an impact loading at the speed of v 0 = 32 m/s, brittle fracture was observed [38].”