Nonlinear Saint-Venant problem on torsion, dilatation and bending of a naturally twisted rod. (Russian, English) Zbl 1114.74389
Prikl. Mat. Mekh. 70, No. 2, 332-343 (2006); translation in J. Appl. Math. Mech. 70, No. 2, 300-310 (2006).
The author studies a problem on large deformations of dilatation, torsion and bending of naturally twisted rod loaded by end forces and moments. Partial solutions are found for elastostatic equations representing two-parametric families of finite deformations and possessing the property that on these deformations the initial system of three-dimensional nonlinear equilibrium equations is reduced to the system of equations with two independent variables.
Reviewer: V. A. Zarutsky (Kyïv)
MSC:
| 74E10 | Anisotropy in solid mechanics |
| 74K05 | Strings |
| 74G50 | Saint-Venant’s principle |
| 74B20 | Nonlinear elasticity |
| 74A10 | Stress |
References:
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