A new four-dimensional ratcheting boundary : derivation and numerical validation

Shen, Jun and Chen, Haofeng and Liu, Yinghua (2018) A new four-dimensional ratcheting boundary : derivation and numerical validation. European Journal of Mechanics - A/Solids. ISSN 0997-7538 (In Press)

[thumbnail of Shen-etal-EJMAS-2018-A-new-four-dimensional-ratcheting-boundary-derivation-and-numerical]
Preview
Text. Filename: Shen_etal_EJMAS_2018_A_new_four_dimensional_ratcheting_boundary_derivation_and_numerical.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (2MB)| Preview

Abstract

A new four-dimensional ratcheting boundary is derived analytically for the first time considering the interaction among four types of stresses: constant mechanical membrane stress, mechanical bending stress, cyclic thermal membrane stress, and thermal bending stress. A uniaxial beam model is used to derive the closed-form ratcheting boundary for these combined cyclic and constant loadings. The Tresca yield condition and elastic-perfectly plastic behavior are assumed. A novel two-plane FE model is proposed for numerical validation and the results predicted by analytical solution agree very well with that obtained by two-plane FE model. The solution of the classical Bree problem is the one of special cases when this new four-dimensional ratcheting boundary is reduced into two-dimensional style. The relationship between the three-dimensional ratcheting boundary adopted by the newly implemented ASME VIII -2 Pressure Vessel Code and the proposed four-dimensional ratcheting boundary is also discussed.