具有Granato-Lucke位错迟滞的结晶固体中的非线性弹性波

IF 0.7 4区地球科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Radiophysics and Quantum Electronics Pub Date : 2025-06-10 DOI:10.1007/s11141-025-10389-0

V. E. Nazarov, S. B. Kiyashko

{"title":"具有Granato-Lucke位错迟滞的结晶固体中的非线性弹性波","authors":"V. E. Nazarov, S. B. Kiyashko","doi":"10.1007/s11141-025-10389-0","DOIUrl":null,"url":null,"abstract":"<p>We perform theoretical and numerical studies of nonlinear propagation and distortion of elastic initially harmonic waves in crystalline solids with Granato–Lucke dislocation hysteresis. We obtain analytical solutions describing nonlinear propagation and evolution of waves in such media. The amplitude dependences of the nonlinear decay decrements and changes in the propagation velocity of the fundamental-frequency wave, as well as the amplitudes of its higher harmonics are determined. A graphical analysis of the solutions obtained is carried out.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"67 6","pages":"469 - 480"},"PeriodicalIF":0.7000,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear Elastic Waves in Crystalline Solids with Granato–Lucke Dislocation Hysteresis\",\"authors\":\"V. E. Nazarov, S. B. Kiyashko\",\"doi\":\"10.1007/s11141-025-10389-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We perform theoretical and numerical studies of nonlinear propagation and distortion of elastic initially harmonic waves in crystalline solids with Granato–Lucke dislocation hysteresis. We obtain analytical solutions describing nonlinear propagation and evolution of waves in such media. The amplitude dependences of the nonlinear decay decrements and changes in the propagation velocity of the fundamental-frequency wave, as well as the amplitudes of its higher harmonics are determined. A graphical analysis of the solutions obtained is carried out.</p>\",\"PeriodicalId\":748,\"journal\":{\"name\":\"Radiophysics and Quantum Electronics\",\"volume\":\"67 6\",\"pages\":\"469 - 480\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Radiophysics and Quantum Electronics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11141-025-10389-0\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-025-10389-0","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

摘要

本文对具有Granato-Lucke位错迟滞的结晶固体中弹性初始谐波的非线性传播和畸变进行了理论和数值研究。我们得到了描述波在这种介质中的非线性传播和演化的解析解。确定了非线性衰减衰减和基频波传播速度变化的幅值依赖关系，以及其高次谐波的幅值。对得到的解进行了图形化分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Nonlinear Elastic Waves in Crystalline Solids with Granato–Lucke Dislocation Hysteresis

We perform theoretical and numerical studies of nonlinear propagation and distortion of elastic initially harmonic waves in crystalline solids with Granato–Lucke dislocation hysteresis. We obtain analytical solutions describing nonlinear propagation and evolution of waves in such media. The amplitude dependences of the nonlinear decay decrements and changes in the propagation velocity of the fundamental-frequency wave, as well as the amplitudes of its higher harmonics are determined. A graphical analysis of the solutions obtained is carried out.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Radiophysics and Quantum Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

1.10

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as: Radio astronomy; Plasma astrophysics; Ionospheric, atmospheric and oceanic physics; Radiowave propagation; Quantum radiophysics; Pphysics of oscillations and waves; Physics of plasmas; Statistical radiophysics; Electrodynamics; Vacuum and plasma electronics; Acoustics; Solid-state electronics. Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April. All articles are peer-reviewed.