Nanomalzemelerin Rastgele Dağılımı İçin Algoritma Geliştirilmesi

Öz

Bu çalışmada, polimer nanokompozitlerin gerçekçi davranışını modellemek için nanomalzemelerin polimer matriks içerisindeki rastgele dağılımını saplayan yeni bir algoritma geliştirilmiştir. Çalışma nanokompozitlerin sonlu elemanlar yöntemi olarak modellenmesinden ziyade bu algoritmanın geliştirilmesine odaklanmıştır. Nanomalzemelerin ve polimer nanokompozitlerin sayısal modellemesine genellikle temsili hacim elemanına sahip çok ölçekli moelleme yöntemi kullanılmaktadır. Takviye malzemesinin etkisi araştırmacılar tarafından araştırılmakta olup takviye mekanizması hem sayısal hem de deneysel olarak tam olarak açıklanmamıştır. Deneysel çalışmalarda takviye mekanizmasının etkisini anlamak için sayısal çalışmaların başarısı da oldukça önemlidir. Bu nedenle, nanomalzemelerin polimer matrisindeki gerçekçi dağılımını modellemek için bir algoritma geliştirilmiş ve sayısal çalışmalara uyarlanmıştır. Algoritma, istenen geometrik boyutlara sahip malzemelerin bir kontrol hacmi içinde rastgele konumlandırılmasını ve birbirleriyle ve kontrol hacmi ile kesişmemesini sağlamaktadır. Algoritma Python programlama dili kullanılarak geliştirilmiş ve nanomalzemelerin konumları komut dosyası dili kullanılarak ABAQUS sonlu eleman programına aktarılmıştır. Nanomalzeme olarak grafen ve polimer matriks olarak epoxy kullanılmıştır. Rastgele dağıtılan RVE modelleri, tek elemanlı RVE modellerinden daha başarılı sonuçlar vermiştir. Deneysel sonuçlarla iyi bir uyum göstermiştir.

Anahtar Kelimeler

• Rastgele dağılım
• Algoritma
• Nanomalzemeler
• Grafen

Developing Algorithm for Random Distribution of Nanomaterials

Abstract

In this study, a new algorithm was developed for the random distribution of the nanomaterials in the polymer matrix to model realistic behavior of polymer nanocomposites. The study focused on the development of this algorithm rather than the modeling of nanocomposites as a finite element method. The multi-scale method with a representative volume element (RVE) is generally used for numerical modeling of nanomaterials and polymer nanocomposites. The researchers investigate the effect of the reinforcement material and the reinforcement mechanism has not been fully explained both numerically and experimentally. The success of numerical studies is also very important to specify the effect of reinforcement mechanism in experimental studies. For this reason, an algorithm was developed to model the realistic distribution of nanomaterials in the polymer matrix and adapted to numerical studies. The algorithm provided that materials of desired geometric dimensions were randomly positioned within a control volume and did not intersect with each other and the control volume. The algorithm was developed using the Python programming language and the positions of the nanomaterials were transferred to the ABAQUS finite element program using scripting language. Graphene was used as a nanomaterial and epoxy was used as a polymer matrix. Randomly distributed RVE models gave more successful results than single element RVE models. It shows a good agreement with experimental results.

Keywords

• Random Distribution
• Algorithm
• Nanomaterials
• Graphene

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