Solvability conditions in simple inverse/design torsion problems

• Main Author: Ioakimidis, Nikolaos
• Other Authors: Katsiaris, George
• Format: Book Chapter/Part of Publication
• Language: English
• Published: University of Patras 2017
• Subjects: Computer algebra; Elastic bars; Gröbner bases; Inequality constraints; Inverse/design problems; Milne volume function; Quantifier elimination; Solvability conditions; Sturm–Habicht sequences; Torsion

The inverse/design problem of torsion of a straight isotropic elastic bar of an elliptical cross-section is revisited. Under the assumption that the shear modulus, the applied torque, the angle of twist per unit length and the maximum shear stress are known in advance, the related values for the se...