On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves

Journal of Applied Physics - Tập 54 Số 9 - Trang 4703-4710 - 1983
A. Cemal Eringen1
1Princeton University, Princeton, New Jersey, 08544

Tóm tắt

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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Tài liệu tham khảo

1972, Int. J. Eng. Sci., 10, 425, 10.1016/0020-7225(72)90050-X

1977, J. Phys. D, 10, 671, 10.1088/0022-3727/10/5/009

1978, Int. J. Fract., 14, 367, 10.1007/BF00015990

1977, Cryst. Lattice Defects, 7, 51

1983, Cryst. Lattice Defects Amorph. Mat., 10, 33

1972, Phys. Rev. B, 5, 4637, 10.1103/PhysRevB.5.4637

1973, Phys. Rev. B, 7, 2787, 10.1103/PhysRevB.7.2787

1982, J. Appl. Phys., 53, 5645, 10.1063/1.331448

1973, Lett. Appl. Eng. Sci., 1, 1