マイクロストレッチ熱弾性媒質におけるマイクロ温度を伴う波動伝播に対する二温度の影響
Mandeep Kaur1, Rajneesh Kumar2, Saurav Sharma3
1Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, Sri Anandpur Sahib, District Ropar, 140118, India.
Scientific reports
|December 13, 2025
まとめ
本研究は、二温度理論を用いたマイクロストレッチ熱弾性固体中の波動伝播を分析します。結果は、波動特性に大きな変化が見られ、高度な材料設計や非破壊評価への洞察を提供するものです。
科学分野:
- 固体力学
- 連続体力学
- 波動伝播
背景:
- 古典的な熱弾性理論には、微細構造や二重温度の考慮が欠けています。
- マイクロストレッチ理論は、微細構造の変形を考慮に入れています。
- 二温度理論は、異なる熱場効果を捉えます。
研究 の 目的:
- 二温度理論下でのマイクロストレッチ熱弾性固体中の波動伝播を調査すること。
- 7つの異なる波動タイプとその特性を分析すること。
- 波動伝播パラメータに対する二温度効果を調べること。
主な方法:
- 位相速度と減衰の明示的な式の導出。
- 縦変位波、熱波、マイクロストレッチ波、マイクロ温度波の分析。
- グラフ表示を用いた波動パラメータ変動の定量的説明。
主要な成果:
- 連成横変位波およびマイクロ回転波を含む7種類の波動を特定しました。
- マイクロストレッチおよびマイクロ温度場による波動特性の著しい変化を実証しました。
- 古典モデルと比較して、新しい波動モードの出現と減衰挙動の変化を観察しました。
結論:
- 二温度理論は、マイクロストレッチ熱弾性固体中の波動伝播に大きな影響を与えます。
- 本研究の結果は、先進材料の設計に重要な洞察を提供します。
- 結果は、微細構造材料における非破壊評価技術に価値があります。
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