A new displacement-based solution for thick isotropic curved tubes

Review of elasto-static models for three-dimensional analysis of thick-walled anisotropic tubes

“…Only one of these methods is based on an anisotropic, three-dimensional tube model by Jolicoeur and Cardou. 46 A more detailed comparison of bending tests on tubes and analytical formulations by Jolicoeur and Cardou 46 was carried out by Derisi et al 74 The described models and papers by Sarvestani 45,[53][54][55][56][57] included validations with finite element method and experimental studies. Potential for future research work thence lies in the comparison and validation of these models as well as the extension to more complex load cases, such as coupled loads, and the consideration of singularities or inhomogeneities.…”

“…However, the models of the state-space approach, which are presented in section State-Space Approaches, usually use a displacement approach in combination with stresses. In addition to a few short descriptions of models with axisymmetric loads, this section presents the displacement-based approximity solutions according to Sarvestani et al 45,[53][54][55][56][57] for tubes under different bending loads. Displacement-based approaches provide a compatible displacement field for the continuum derived from the fundamental equations, which must be solved to obtain strains and stresses.…”

“…The toroidal equilibrium equations can be established using this coordinate system according to Sarvestani and Gorjipoor 55 with ρ = R c + r cos θ to…”

Three-dimensional stress analysis of orthotropic curved tubes-part 1: Single-layer solution

“…The theory is extended here to cover the case for orthotropic materials. The toroidal governing equations are presented as (Yazdani Sarvestani and Gorjipoor, 2015):…”