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Application of the CVBEM to non-uniform St. Venant torsion. (English) Zbl 0556.73085
The complex-variable boundary-element method, or CVBEM, is used to approximate the stress distribution associated with non-uniform St. Venant torsion problems. By specifying either the normal- or tangential- force equilibrium equation in terms of the warping function or its conjugate, a Laplace equation results which is immediately tractable by using the CVBEM. A comparison of modeling results to known solutions indicates that the modeling technique is a useful approach for the estimation of interior stresses as well as for the evaluation of modeling errors by means of an approximate boundary determined by the CVBEM approximation function.

74S30 Other numerical methods in solid mechanics (MSC2010)
74S99 Numerical and other methods in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
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