Detailed Examination of the Barlat89 Yield Criterion and Development of Various Methods for Determining Model Coefficients

Öz

In this study, the modeling of deformation behavior of various anisotropic materials using the Barlat89 yield criterion has been focused on. This criterion is a model developed to predict the plastic behavior of orthotropic sheets. Compared to the Hill48 model, which is widely used in finite element analyses, it is preferred due to its higher accuracy with fewer parameters. In the study, AA5754 and AA7075 aluminum alloys and DP600 dual-phase steel materials were analyzed. In determining the model parameters, numerical and analytical methods were used together, and new parametric adaptation methods were proposed. The obtained model results were compared with experimental data. The findings revealed that the solution methods used play a significant role in predicting deformation behavior. Additionally, it has been determined that parametric adaptation methods are an effective tool for improving the accuracy of the model. In the study, the effect of optimizing only one parameter or all model parameters on prediction accuracy was evaluated. In this context, the validity of the proposed methods for different material types and stress conditions was investigated in detail.

Anahtar Kelimeler

• Barlat89 yield criterion
• Model coefficients
• Optimization

Barlat89 Akma Kriterinin Detaylı İncelenmesi ve Model Katsayılarının Belirlenmesi Üzerine Farklı Yöntemlerin Geliştirilmesi

Öz

Bu çalışmada, Barlat89 akma kriteri kullanılarak farklı anizotropik malzemelerin deformasyon davranışlarının modellenmesi üzerine odaklanılmıştır. Söz konusu kriter, ortotropik levhaların plastik davranışlarını öngörmek amacıyla geliştirilmiş bir modeldir. Sonlu elemanlar analizlerinde yaygın bir şekilde kullanılan Hill48 modeline kıyasla, daha az sayıda parametre ile yüksek doğruluk sağlaması nedeniyle tercih edilmektedir. Çalışmada, AA5754 ve AA7075 alüminyum alaşımları ile DP600 çift fazlı çelik malzemeler analiz edilmiştir. Model parametrelerinin belirlenmesinde, sayısal ve analitik yöntemler birlikte kullanılmış ve yeni parametrik uyarlama yöntemleri önerilmiştir. Elde edilen model sonuçları deneysel verilerle karşılaştırılmıştır. Bulgular, kullanılan çözüm yöntemlerin deformasyon davranışlarının öngörülmesinde önemli bir rol oynadığını ortaya koymuştur. Ayrıca, modelin doğruluğunu artırmak için parametrik uyarlama yöntemlerinin etkili bir araç olduğu tespit edilmiştir. Çalışmada, yalnızca bir parametrenin veya tüm model parametrelerinin optimize edilmesinin tahmin doğruluğu üzerindeki etkisi değerlendirilmiştir. Bu bağlamda, önerilen yöntemlerin farklı malzeme türleri ve gerilme koşulları için geçerliliği detaylı bir şekilde incelenmiştir.

Anahtar Kelimeler

• Barlat89 akma kriteri
• Model katsayıları
• Optimizasyon

Kaynakça

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