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Concentrated force in a cubic anisotropic solid: a single integral solution

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3 Author(s)
Goodman, John W. ; Materials Department, University of California, Los Angeles, California 90024 ; Masumura, Robert A. ; Sines, George

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A single integral solution is presented for displacements arising from a concentrated force in an infinite medium with cubic elastic anisotropy. The integrand is an explicit algebraic expression of the three elastic constants and the spherical coordinates of the point at which the displacements are required. The integral gives the displacement components referred to the cubic axes. Although the concentrated force is along a cubic axis, a force in an arbitrary direction can be constructed by the superposition of the solutions for its components along the axes. Applications are suggested that use distributions of point forces to model defects in cubic crystals. Elastic displacement fields are presented for crystals of Na, Cu, Rb I, Nb and W.

Published in:

Journal of Applied Physics  (Volume:44 ,  Issue: 1 )

Date of Publication:

Jan 1973

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