Convergence of Peridynamics to Classical Elasticity Theory

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

Micro-structure in linear elasticity

R. D. Mindlin · Archive for Rational Mechanics and Analysis · 1964 · 3.8K citations

Nonlinear Elasticity, Engineering, Multiscale Mechanics +7

The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics

J. H. Irving, John G. Kirkwood · The Journal of Chemical Physics · 1950 · 2.5K citations

Engineering, Fluid Mechanics, Scalar Transport +24

A meshfree method based on the peridynamic model of solid mechanics

Stewart Silling, E. Askari · Computers & Structures · 2005 · 2.4K citations

Numerical Analysis, Finite Element Method, Mesh Optimization +14

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