{"title":"Size-dependent torsional oscillation of an elastic wire with circular cross-section","authors":"Ali R. Hadjesfandiari , Gary F. Dargush","doi":"10.1016/j.wavemoti.2024.103452","DOIUrl":null,"url":null,"abstract":"<div><div>Consistent couple stress theory (C-CST) provides the framework for the present investigation of size-dependent effects in the torsional oscillation of elastic circular wires. By using this form of couple stress theory, we are able to develop the first self-consistent size-dependent mechanics solution for this fundamental continuum dynamics problem that satisfies all boundary conditions without approximation. In addition, we derive the dispersion relations and characteristics for torsional waves in C-CST and the natural torsional modes for a finite length wire with fixed ends. Appendices provide a study of the general character of the C-CST eigensolutions and examine the torsional oscillation problem under classical and Mindlin-Tiersten-Koiter couple stress elastodynamics.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"133 ","pages":"Article 103452"},"PeriodicalIF":2.1000,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165212524001823","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Consistent couple stress theory (C-CST) provides the framework for the present investigation of size-dependent effects in the torsional oscillation of elastic circular wires. By using this form of couple stress theory, we are able to develop the first self-consistent size-dependent mechanics solution for this fundamental continuum dynamics problem that satisfies all boundary conditions without approximation. In addition, we derive the dispersion relations and characteristics for torsional waves in C-CST and the natural torsional modes for a finite length wire with fixed ends. Appendices provide a study of the general character of the C-CST eigensolutions and examine the torsional oscillation problem under classical and Mindlin-Tiersten-Koiter couple stress elastodynamics.
期刊介绍:
Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics.
The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.