Radon-Stroh formalism for three-dimensional anisotropic elasticity
Federico Buroni (University of Seville), Mitsunori Denda (Rutgers University)
Prager Medal Symposium in honor of George Weng: Micromechanics, Composites and Multifunctional Materials
Wed 1:30 - 2:50
MacMillan 117
In this paper we present a formalism for the solution of three-dimensional (3D) boundary value problems for general anisotropic solids combining the Radon transform and the Stroh formalism. The 3D problem is first reduced to a two-dimensional (2D) transformed space by the Radon transform. This resulting 2D problem is solved using the well-known Stroh formalism. Finally the 3D solution of the original problem is recovered by applying the inverse Radon transform. This Radon-Stroh formalism provides the general framework and solution technique for the most general 3D anisotropic boundary value problems. The basic idea has been presented in a paper by other author 15 years ago. However this procedure has remained very few explored. This work presents a more careful and deeper treatment of the problem as an attempt to stimulate the application and development of the formalism. Particular attention is given to the inverse procedure meanwhile the veracity, usefulness and computability of the approach have been demonstrated by solving numerical application examples. Furthermore, an investigation on the link with an alternative approach based on Fourier transform is also presented.