Yerel Olmayan Ortamlarda Termoelastik Dalga Dağılımı

Abstract

Bu çalışma, yerel olmayan elastisiteyi genelleştirilmiş termoelastik teorilerle birleştirerek, ısı ileten termoelastik bir ortamda dalga yayılımını inceler. Karakteristik bir yayılım denklemi, yerel olmayan parametrenin, termal gevşeme süresinin ve termoelastik bağlaşımın mekanik ve termal dalga modları üzerindeki etkisini incelemek için türetilir; sayısal örnek olarak silikon kullanılır. Sonuçlar, yerel olmama düzeyindeki artışın, özellikle yüksek dalga sayılarında, yerel termoelastik yanıttan daha büyük sapmalara yol açtığını gösterir ve iç uzunluk ölçeği etkilerinin önemini vurgular. Seçilen parametre değerleri için Lord–Shulman ve Green–Lindsay modelleri benzer yayılım eğilimleri gösterir; çünkü elastik, atalet ve yerel olmayan etkiler, termal gevşeme süresinin nispeten küçük katkısına baskın gelir. Yalnızca tekil modellere veya sınırlayıcı durumlara odaklanan önceki çalışmaların aksine, bu çalışma, yerel ve klasik sınırları da içeren bağlaşık ve bağlaşık olmayan yerel olmayan termoelastik formülasyonların birleşik bir karşılaştırmasını sunar. Model hakkında daha derin bir anlayış sağlamak için çeşitli sınırlayıcı veya basitleştirilmiş durumlar analiz edilir; gelecekteki çalışmalar ise öngörülen dalga hızlarını deneysel sonuçlar veya yerleşik referans modellerle doğrular.

Keywords

• Yerel olmayan termoelastisite
• Dalga dağılımı
• Termal gevşeme
• Faz hızı
• Grup hızı
• Genelleştirilmiş termoelastik modeller

Supporting Institution

Yazar, bu çalışma için herhangi bir finansal destek almamıştır.

Project Number

None

Ethical Statement

Yazar, bu makalenin araştırılması, yazarlığı ve/veya yayımlanmasıyla ilgili herhangi bir potansiyel çıkar çatışması bulunmadığını beyan eder. Yazar ayrıca, bu çalışmada kullanılan materyal ve yöntemlerin etik kurul onayı ve/veya herhangi bir yasal/özel izin gerektirmediğini belirtir.

Thermoelastic Wave Dispersion in Nonlocal Media

Abstract

This study investigates wave dispersion in a heat-conducting thermoelastic medium by integrating nonlocal elasticity with generalized thermoelastic theories. A characteristic dispersion equation is derived to examine the influence of the nonlocal parameter, thermal relaxation time, and thermoelastic coupling on mechanical and thermal wave modes, with silicon used as the numerical example. The results indicate that increasing nonlocality leads to greater deviation from the local thermoelastic response, particularly at higher wave numbers, highlighting the significance of internal length-scale effects. For the selected parameter values, the Lord–Shulman and Green–Lindsay models exhibit similar dispersion trends, as elastic, inertial, and nonlocal effects dominate over the relatively small contribution of thermal relaxation time. Unlike earlier studies that focus on individual models or limiting cases, this work offers a unified comparison of coupled and uncoupled nonlocal thermoelastic formulations, including their local and classical limits. Several limiting or simplified cases are analyzed to provide deeper insight into the model, while future studies should validate the predicted wave speeds against experimental results or established reference models.

Keywords

• Nonlocal thermoelasticity
• Wave dispersion
• Thermal relaxation
• Phase velocity
• Group velocity
• Generalized thermoelastic models

Supporting Institution

The author received no funding support for this work.

Project Number

None

Ethical Statement

The author declare that they have no potential conflict of interest regarding the research, authorship, and/or publication of this article. The author also state that the materials and methods used in this study do not require ethics committee approval and/or any legal-special permissions.

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