Modeling and optimization of the anisotropic behavior of aluminum alloys by using the Hill48 yield criterion

Abstract

In this study, the anisotropic behavior of aluminum alloy AA7075 was modeled using the Hill48 yield criterion. The Hill48 yield criterion is a mathematical model developed to predict the onset of plastic deformation of materials. It is still widely used today in finite element analyzes of anisotropic materials due to the small number of parameters. Model coefficients were calculated using the mechanical properties (anisotropy coefficients and yield stress values) obtained from the experimental data of AA7075 alloy. Model parameters F, G, H and N coefficients were determined in two different ways depending on anisotropy and stress rates. In addition, with the optimization technique, these coefficients were determined more precisely and the error amount was determined as 2%. This study emphasizes the effectiveness of the Hill48 criterion in engineering applications and reveals the importance of optimization in parameter determination. As a result, it has been shown that the optimization technique gives more successful results in determining the model parameters.

Keywords

• Hill48 yield criterion
• model parameters
• optimization techniques

Hill48 akma kriteri kullanarak alüminyum alaşımlarının anizotropik davranışlarının modellenmesi ve optimizasyonu

Öz

Bu çalışmada, Hill48 akma kriteri kullanılarak alüminyum alaşımı Al7075’in anizotropik davranışı modellenmiştir. Hill48 akma kriteri, malzemelerin plastik deformasyon başlangıcını tahmin etmek için geliştirilmiş bir matematiksel modeldir. Anizotropik malzemelerin sonlu elemanlar analizlerinde parametre sayısının az olması nedeniyle günümüzde de yaygın olarak kullanılmaktadır. Al7075 alaşımının deneysel verilerinden elde edilen mekanik özellikler (anizotropi katsayıları ve akma gerilmesi değerleri) kullanılarak model katsayıları hesaplanmıştır. Model parametreleri olan F, G, H ve N katsayıları, anizotropi ve gerilme oranlarına bağlı olarak iki farklı şekilde belirlenmiştir. Ayrıca, optimizasyon tekniği ile bu katsayıların daha hassas belirlenmesi sağlanmış ve hata miktarı %2 olarak tespit edilmiştir. Bu çalışma, Hill48 kriterinin mühendislik uygulamalarındaki etkinliğini vurgulamakta ve optimizasyonun parametre belirlemedeki önemini ortaya koymaktadır. Sonuç olarak, optimizasyon tekniğinin model parametrelerinin belirlenmesinde daha başarılı sonuçlar verdiği gösterilmiştir.

Anahtar Kelimeler

• Hill48 akma kriteri
• model parametreleri
• optimizasyon teknikleri

Kaynakça

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