Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation

作者：Wang, Li^*; Zhong, Hongzhi

来源：Computational Mechanics, 2015, 56(5): 739-752.

DOI：10.1007/s00466-015-1198-2

• Stress intensity factors (SIFs) at notches
• Strict upper and lower bounds
• A unified approach
• CRE estimation
• Path independent integral

This paper aims to evaluate the stress intensity factors (SIFs) at 2D elastic notches that are of concerns in structural failure analysis. Strict upper and lower bounds of the SIFs are acquired by a unified approach within the framework of the constitutive relation error (CRE) estimation. The main ingredient is to gain a unified representation of the SIFs which is achieved by a path independent integral with the aid of the specialized auxiliary fields. With the unified approach, one can (1) Establish the dual problem based on the unified representation of the SIFs; (2) Perform dual error analysis, resulting in the mixture of errors in both primal and dual problems; (3) Acquire strict upper and lower bounds of the SIFs by utilizing the featured strict bounding property of the CRE estimation. Numerical examples are studied to illustrate the strict bounding properties of SIFs at cracks and notches.

• 出版日期2015-11
• 单位清华大学