On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
A. Cemal Eringen
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.
Topics & Concepts
Elasticity (physics)DislocationPartial differential equationMathematical analysisDifferential equationMathematicsClassical mechanicsPhysicsCondensed matter physicsThermodynamicsNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineeringThermoelastic and Magnetoelastic Phenomena