It is shown that the kinematical assumptions of the Timoshenko theory for shearable beams can be regarded as internal constraints, some involving the first, others the second deformation gradient; such constrains are thought of as maintained by reaction stresses and hyperstresses of the type occurring in non-simple materials of grade 2. It is discussed how these reactions can be used to better the first approximation of the unknown equilibrium stress field in the three-dimensional body modelled by the Timoshenko beam, an appoximation which is based on the solution of the one-dimensional Timoshenko problem. -
Lembo, M., P., P.G. (2001). Internal constraints, reactive stresses, and the Timoshenko beam theory. JOURNAL OF ELASTICITY, 65(1), 131-148 [10.1023/A:1016109822140].
Internal constraints, reactive stresses, and the Timoshenko beam theory
LEMBO, Marzio;
2001-01-01
Abstract
It is shown that the kinematical assumptions of the Timoshenko theory for shearable beams can be regarded as internal constraints, some involving the first, others the second deformation gradient; such constrains are thought of as maintained by reaction stresses and hyperstresses of the type occurring in non-simple materials of grade 2. It is discussed how these reactions can be used to better the first approximation of the unknown equilibrium stress field in the three-dimensional body modelled by the Timoshenko beam, an appoximation which is based on the solution of the one-dimensional Timoshenko problem. -I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
