Abstract
Stress function-based solution procedures in elasticity require the knowledge of those stress functions that give zero complementary strain energy. In the two-dimensional case, the structure of the zero-energy first-order stress functions is as simple as that of the zero-energy displacements, and the number of the zero-energy modes is three [1]. This paper investigates the more complicated three-dimensional case and, considering a possible set of six independent first-order stress functions, derives the zero-energy stress functions in polynomial form. It is pointed out that the number of the zero-energy stress function modes in the three-dimensional case is infinite.
Published Version
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