Solution Graphs: Simple Algebraic Structures for Problems in Linear Anisotropic Elasticity.
NAVAL RESEARCH LAB WASHINGTON D C
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The effectiveness of graphing and of the extended tensor calculus in complex coordinates is demonstrated by constructing the solution graphs for the plane linear elasticity problems of anisotropic half planes and the contact of dissimilar anisotropic half planes. In the development of the graph for the half-plane problem, the governing differential equation is interpreted as a polynomial in first-order tensors. Use of the characteristic tensors k lambda u of the polynomial result in zero- order tensor arguments of the solution functions. The edge transformations generated as derivatives of the arguments are then tensors. This is in contrast to the universal approach of using the characteristic roots, which are not tensor quantities. Author-PL
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