article
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
Journal of Applied Physics · 1983 · Vol. 54(9) · pp. 4703–4710
A. Cemal Eringen✉(Princeton University)
Abstract
Integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels. Solutions are obtained for the screw dislocation and surface waves. Experimental observations and atomic lattice dynamics appear to support the theoretical results very nicely.
Nonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineeringThermoelastic and Magnetoelastic PhenomenaElasticity (physics)DislocationPartial differential equationMathematical analysisDifferential equationMathematicsClassical mechanicsPhysicsCondensed matter physicsThermodynamics
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