Complex variable boundary integral equations for perforated infinite planes
A fast and stable numerical algorithm is presented for the elastostatic problem of a linearly elastic plane with holes, loaded at infinity. The holes are free of stress. The algorithm is based on an integral equation which is intended as an alternative to the classic ShermanLauricella equation. The new scheme is argued to be both simpler and more reliable than schemes based on the ShermanLauricella equation. Improvements include simpler geometrical description, simpler relationships between mathematical and physical quantities, simpler extension to problems involving also inclusions and cracks, and more stable numerical convergence.
holes shermanlauricella equation linear elasticity integral equation of fredholm type fast multipole method effective elastic moduli stress concentration factor numerical methods stable algorithms