Thermomechanical buckling behavior of FGM sandwich nanoplate with honeycomb core based on NSGT

Abstract

This study investigates the nondimensional buckling behavior of a functionally graded material (FGM) sandwich nanoplate. The analysis consider variations in material gradation parameter, length ratio, thickness ratio, incline angle, nonlocal parameter and size parameter. Higher-order shear deformation theory (HSDT), Nonlocal strain gradient theory (NSGT), Hamilton's principle, and the Navier solution with simply supported boundary conditions are employed to derive and solve the governing equations of motion. The effects of nonlocal elasticity, strain gradient elasticity, dimension change of the core layer on the thermomechanical buckling behavior of the sandwich nanoplate have been examined in a broad framework. It is observed that the thickness ratio and incline angle in the core layer are effective on the thermomechanical buckling behavior of the sandwich nanoplate whereas length ratio change has a neglectable results. Material gradation parameter changes buckling behavior significantly. The research provides critical conclusions for the design of FG nanoplates in advanced thermal and mechanical applications, emphasizing the adjustability of buckling behavior via material and structural modifications.

Keywords

• Sandwich nanoplate
• Honeycomb
• Ti-6Al-4V
• Al2O3
• Thermomechanical buckling

Bal peteği çekirdekli FGM sandviç nanoplakanın NSGT kullanılarak termomekanik burkulma davranışı

Öz

Bu çalışmada fonksiyonel derecelendirilmiş malzeme (FGM) sandviç nanoplakanın boyutsuz burkulma davranışı araştırılmıştır. Analizde malzeme derecelendirme parametresi, uzunluk oranı, kalınlık oranı, eğim açısı, yerel olmayan parametre ve boyut parametresindeki değişimler göz önünde bulundurulmuştur. Yüksek mertebeden kesme deformasyon teorisi (HSDT), Yerel olmayan gerinim gradyanı teorisi (NSGT), Hamilton prensibi ve basit destekli sınır koşullarına sahip Navier çözümü, hareketin yönetici denklemlerini türetmek ve çözmek için kullanılmıştır. Yerel olmayan elastikiyet, gerinim gradyanı elastikiyeti ve çekirdek tabakasının boyut değişiminin sandviç nanoplakanın termomekanik burkulma davranışı üzerindeki etkileri geniş bir çerçevede incelenmiştir. Çekirdek tabakasındaki kalınlık oranı ve eğim açısının sandviç nanoplakanın termomekanik burkulma davranışı üzerinde etkili olduğu, buna karşın uzunluk oranı değişiminin ihmal edilebilir sonuçlara sahip olduğu görülmüştür. Malzeme derecelendirme parametresi burkulma davranışını önemli ölçüde değiştirmektedir. Araştırma, ileri termal ve mekanik uygulamalarda FG nanoplakaların tasarımı için kritik sonuçlar sunmakta olup, malzeme ve yapısal modifikasyonlar yoluyla burkulma davranışının ayarlanabilirliğini vurgulamaktadır.

Anahtar Kelimeler

• Sandviç nanoplaka
• Ti-6Al-4V
• Al2O3
• Termomekanik burkulma.
• Bal peteği

Kaynakça

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