Solitary waves in a peridynamic elastic solid

DOI10.1016/J.JMPS.2016.06.001zbMath1482.74102OpenAlexW2463923823MaRDI QIDQ2119177

Stewart A. Silling

Publication date: 23 March 2022

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2016.06.001

zbMATH Keywords

elasticitysolitary wavesnonlocalperidynamic

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Solitary waves in solid mechanics (74J35)

Related Items (11)

Nonlinear wave modulation in nanorods using nonlocal elasticity theory ⋮ Solitary waves in FPU-type lattices ⋮ Analytical solutions of peridynamic equations. II: Elastic wave propagation ⋮ Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion ⋮ Peridynamics review ⋮ The computational framework for continuum-kinematics-inspired peridynamics ⋮ Towards elasto-plastic continuum-kinematics-inspired peridynamics ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Continuum-kinematics-inspired peridynamics. Mechanical problems ⋮ Existence of solitary waves in one dimensional peridynamics ⋮ Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

Cites Work

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• Peridynamic modeling of membranes and fibers
• Equilibrium shocks in plane deformations of incompressible elastic materials
• Equilibrium of bars
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• Peridynamic states and constitutive modeling
• Kinetics of phase transformations in the peridynamic formulation of continuum mechanics
• Peridynamic Theory and Its Applications
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Solitary-wave interaction
• Compactons: Solitons with finite wavelength

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