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.
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I am indebted to a referee who pointed out that the device of the Green function method for reduction of nonlocal operators has been used in other parts of physics [
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© 1983 American Institute of Physics.
1983
American Institute of Physics
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