A mixed finite element solution for interface problems

Abstract

A mixed formulation of interface problems is educed to lead to a well-conditioned and small scale system. The treatment methods are also provided for some technically difficult problems under complicated contact conditions, such as great contact area, non-smooth contact, rigid displacement, etc. The proposed method has been used in several cases, such as a cantilever with beam-over-beam, an elastic block on a rigid foundation, dam and foundation system, and so on.

給出了界面問題的混合有限元提法,由該提法可導出良態、小規模的有限元方程組。對于復雜接觸問題中的某些常見的技術性難題,如大面積、非光滑接觸問題、剛體位移問題等都給出了相應的處理技術。