3D Ökzetik Malzemelerde Yükleme Türünün/Yönünün ve Geometrik Ölçü Parametrelerinin Etkilerinin İncelenmesi

Öz

Negatif poisson oranına sahip olan ökzetik malzemeler çekme yüklemesi altında enine genişlerken, basma yüklemesi altında ise enine daralmaktadır. Bu deformasyon davranışı nedeniyle uygulamada birçok alanda tercih edilmektedir. Literatürde 3D ökzetik malzemeler üzerine sınırlı çalışmayla karşılaşılmıştır. Ayrıca ökzetik malzemelerde geometrik ölçü etkisinin (Yüzde ±25) incelenmesinin ve yükleme türünün (düzlem içi/dışı)/yönünün (çekme/basma) etkilerinin incelendiği çalışmaya rastlanmadığı için bu parametreler üç farklı (re entrant, modifiye edilmiş re entrant ve star) 3D ökzetik yapıda, sonlu elemanlar yöntemiyle (FEM) incelenmiştir. Çalışma sonucunda incelenen parametrelerin etkilerinin ökzetik ve mekanik özelliklere etkisi enine/boyuna deformasyon, eş değer gerilme ve poisson oranı parametreleriyle araştırılmıştır. Elde edilen veriler ile ölçü artışıyla eş değer gerilme ve deformasyonlarda düşüş gözlemlenirken poisson oranında %2 oranında değişim elde edilmiştir. Ökzetik yapılarda boyut azalmasıyla artan eş değer gerilme olsa da poisson oranında artış kaynaklı daha iyi ökzetik özellikler elde edilmiştir.

Anahtar Kelimeler

• 3D Ökzetik malzeme
• Sonlu elemanlar yöntemi
• Ölçü etkisi
• Yükleme türü/yönü

Investigation of the Effects of Loading Type/Direction and Geometric Size Parameters on 3D Auxetic Materials

Abstract

Auxetic materials with a negative Poisson's ratio expand transversely under tensile loading and contract transversely under compressive loading. This deformation behavior makes them preferred in many applications. Limited studies on 3D auxetic materials have been encountered in the literature. Furthermore, since no studies have been found examining the effects of geometric size (±25%) and the effects of loading type (in-plane/out-of-plane)/direction (tension/compression) on auxetic materials, these parameters were investigated in three different 3D auxetic structures (re-entrant, modified re-entrant, and star) using the finite element method (FEM). As a result of the study, the effects of the investigated parameters on auxetic and mechanical properties were examined using the parameters of transverse/longitudinal deformation, equivalent stress, and Poisson's ratio. The obtained data indicate a decrease in equivalent stress and deformation with increasing size, while a 2% change in the Poisson's ratio was obtained. Although the equivalent stress in auxetic structures increases with decreasing size, better auxetic properties are obtained due to the increase in the Poisson ratio. It was determined that the effect of the loading direction in auxetic structures was below 1% and the type of loading in auxetic structures depends on the geometric structure of the auxetic structure. Moreover, the design with the best auxetic properties was found to be the R-coded design in the in-plane direction, while the S-coded design was found to be the the best out-of-plane loading.

Keywords

• 3D auxetic material
• Finite element method
• Size effect
• Loading type/direction

Kaynakça

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