Saint-venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems |
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| Authors: | K A Vatulyan Yu A Ustinov |
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| Institution: | (1) Department of Mathematics, University of South Florida, 4202 E. Fowler Ave PHY 114, Tampa, FL, 33620-5700, U.S.A;(2) Department of Mathematics, University of California, Santa Barbara, CA, 93106, U.S.A;(3) Department of Mathematics, The Royal Institute of Technology, 100 44 Stockholm, Sweden |
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| Abstract: | By methods of homogeneous solutions and the spectral theory of operators, the construction of solutions of the Saint-Venant
problems of tension-torsion of a cylindrical tube with helical anisotropy is reduced to integration of boundary-value problems
for ordinary differential equations with variable coefficients. The solutions are constructed by analytical and numerical
methods. Elements of the stiffness matrix and the stress-strain state are analyzed, depending on the problem parameter. |
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