Stability of welding problem with perturbations

Abstract

This paper discusses the stability of the welding problem of the infinite plane with a hole and a plate which are welded together. Using the complex variable methods, error estimates of stresses and displacement are obtained.

Keywords:

• Welding problem
• complex stress functions
• Cauchy integral
• singular integral equation
• perturbations

AMS Subject Classifications:

• 30E20
• 45E05

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the STF of Education Department of Fujian Province [grant number JA14398]; NNSF of China [grant number 11171260]; Macao Science and Technology Development Fund [Ref. 018/2014/A1], [Ref. 045/2015/A2].