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

作者：Shen, Jun; Chen, Haofeng^*; Liu, Yinghua

来源：European Journal of Mechanics - A: Solids , 2018, 71: 101-112.

DOI：10.1016/j.euromechsol.2018.03.005

• Ratchet boundary
• Shakedown
• Two-plane model
• Plastic FEA
• Noncyclic method

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.

• 出版日期2018-10
• 单位清华大学