Meshless local Petrov-Galerkin method for plane elasticity problems

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Mühendislik Fakültesi, Makina Mühendisliği Bölümü, Türkiye

Tezin Onay Tarihi: 2014

Öğrenci: DENİZ CAN ERDAYI

Danışman: SÜHA ORAL

Özet:

In this research, Meshless Local Petrov-Galerkin Method (MLPG) has been used in order to solve problems of elasto-statics. Moving least squares approximation (MLS) has been used to construct trial function. MLS weight function has been selected as test function. Thus, method is so-called MLPG1. Cantilever beam problem has been solved with MLPG. Effect of integration and influence domain sizes have been investigated for infinite plate with circular hole problem. Optimal parameters have been determined. Results have been compared with exact solution.