Elastik Heterojen Bir Tabakayla Kaplı Heterojen Yarım Uzayda Parlak ve Karanlık Soliter Love Dalgaları

Öz

Bu çalışmada, dalga yayılımına dik yönde heterojen, elastik bir tabakayla kaplı heterojen yarım uzayda doğrusal olmayan Love dalgalarının yayılması problemi göz önüne alınmıştır. Çoklu ölçekler yöntemi kullanılarak, doğrusal olmayan Love dalgalarının öz etkileşimini karakterize eden, katsayıları ortamın malzeme özelliklerine, dolayısıyla tabaka ve yarım uzayı oluşturan malzemelerin heterojenlik parametrelerine bağlı, doğrusal olmayan bir Schrödinger denklemi türetilmiştir. Ortamın doğrusal olmayan özelliklerinin yanı sıra heterojenliğinin de parlak ve karanlık soliter Love dalgalarının varlığı üzerindeki etkileri nümerik olarak incelenmiştir. Ayrıca hem tabakaya hem de yarım uzaya ait doğrusal olmayan ve heterojen malzeme özelliklerinin parlak ve karanlık dalga evrimi üzerindeki kaydadeğer etkileri grafiksel olarak gösterilmiştir.

Anahtar Kelimeler

• Doğrusal Olmayan Elastisite
• Soliter SH Dalgaları
• Heterojen Tabakalı Yarım Uzay

Bright and Dark Solitary Love Waves in a Heterogeneous Semi-Space Coated with a Heterogeneous Elastic Layer

Öz

The propagation of nonlinear Love waves in an elastic, vertically heterogeneous crust laid upon an elastic, heterogeneous semi-space is considered. By employing the multiple scales method, the amplitude function of Love waves is represented by a nonlinear Schrödinger equation which includes the nonlinear material and heterogeneity parameters of the layered semi-space in its coefficients. This study numerically investigates the influence of heterogeneity as well as the nonlinear properties of the media on the presence of bright and dark solitary Love waves. Moreover, the remarkable effects of nonlinear and heterogeneous material properties of both layer and semi-space on the wave evolution of bright and dark solions are graphically shown.

Anahtar Kelimeler

• Nonlinear Elasticity
• Solitary SH Waves
• Heterogeneous Layered Semi-Space

Kaynakça

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