Fonksiyonel Olarak Derecelendirilmiş Ti-6Al-4V ve Zirkonya Biyomalzeme Plakalarının Termomekanik Tepkisi

Öz

Bu makalede, termal yüke maruz kalan fonksiyonel olarak derecelendirilmiş malzemeli (FGM) gözenekli nanoplakaların serbest titreşim tepkilerini incelenmiştir. Geliştirilen matematiksel model, bir kayma deformasyonu, boyut ölçeği ve mikro yapı etkilerini içeren yüksek dereceli kayma deformasyonu (HSDT) ve yerel olmayan gerinim gradyanı (NGST) teorilerinden meydana gelmektedir. Çalışmada, düzgün, simetrik, asimetrik alt ve asimetrik üst dağılımı şeklinde kalınlık boyunca değişne dört farklı gözeneklilik modeli ele alınmıştır. Termal yükün etkileri de dahil olmak üzere FGM gözenekli nanoplakanın hareket denklemi Hamilton prensibi ile türetilmiş ve daha sonra Navier yöntemi kullanılarak analitik olarak çözülmüştür. Nanoplakanın serbest titreşim tepkileri için, yerel olmayan ve gerinim gradyan elastikiyetlerinin, sıcaklık artışının, gözeneklilik hacim fraksiyonunun ve dağılımının etkileri analiz edilmiştir.

Anahtar Kelimeler

• Gözeneklilik
• Fonksiyonel Olarak Derecelendirilmiş Malzeme
• Nanolevha
• Lokal olmayan gerinim gradyan teorisi
• Termal yük

Thermomechanical Response of Functionally Graded Ti-6Al-4V and Zirconia Biomaterial Plates

Abstract

This article studies the free vibration responses of functionally graded material (FGM) porous nanoplates exposed to thermal load. The developed mathematical model includes a shear deformation, size-scale, and microstructure influence by a high-order shear deformation (HSDT) and nonlocal strain gradient (NGST) theories. The study considers four different porosity patterns across the thickness: uniform, symmetrical, asymmetric bottom, and asymmetric top distributions. The equation of motion of the FGM porous nanoplate, including the effects of thermal load, is derived with Hamilton's principle, and then solved analytically by employing the Navier method. For the free vibration responses of the nanoplate, the effects of nonlocal and strain gradient elasticities, temperature rise, porosity volume fraction and its distribution are analyzed.

Keywords

• Porosity
• Functionally Graded Material
• Nanoplate
• Nonlocal strain gradient theory
• Thermal load

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