Ordinary state-based peridynamic homogenization of periodic micro-structured materials

Reformulation of elasticity theory for discontinuities and long-range forces

Stewart Silling · Journal of the Mechanics and Physics of Solids · 2000 · 3.9K citations

Nonlinear Elasticity, Engineering, Physics +8

Peridynamic States and Constitutive Modeling

Stewart Silling, Michael A. Epton, Olaf Weckner et al. · Journal of Elasticity · 2007 · 2.4K citations

Thermodynamic Modelling, Engineering, Numerical Simulation +5

Prediction of composite properties from a representative volume element

C. T. Sun, Rajesh S. Vaidya · Composites Science and Technology · 1996 · 871 citations

Materials Science, Representative Volume Element, Engineering +5

New crack‐tip elements for XFEM and applications to cohesive cracks

Goangseup Zi, Ted Belytschko · International Journal for Numerical Methods in Engineering · 2003 · 550 citations

Engineering, Fracture Optimization, Mechanical Engineering +18

Convergence of Peridynamics to Classical Elasticity Theory

Stewart Silling, Richard B. Lehoucq · Journal of Elasticity · 2008 · 463 citations

Nonlinear Elasticity, Engineering, Elasticity (Physics) +4