Bond-Based Peridynamics Does Not Converge to Hyperelasticity as the Horizon Goes to Zero

Reformulation of elasticity theory for discontinuities and long-range forces

Stewart Silling · Journal of the Mechanics and Physics of Solids · 2000 · 4.1K citations

Natural Sciences, Mechanical Engineering, Physics +14

Mathematical Foundations of Elasticity

Jerrold E. Marsden, Thomas J.R. Hughes, Donald E. Carlson · Journal of Applied Mechanics · 1984 · 2.7K citations · Full text

Natural Sciences, Mathematics, Physics +9

Peridynamic States and Constitutive Modeling

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

Natural Sciences, Physics, Applied Mechanics +10

Convexity conditions and existence theorems in nonlinear elasticity

J. M. Ball · Archive for Rational Mechanics and Analysis · 1976 · 2.4K citations

Engineering, Mechanical Engineering, Applied Mechanics +15

Convergence of Peridynamics to Classical Elasticity Theory

Stewart Silling, Richard B. Lehoucq · Journal of Elasticity · 2008 · 471 citations

Natural Sciences, Mathematics, Physics +11