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On the nonlinear temperature dependence of elastic constants and wave velocities for solid media with applications to geologic materials
Yang, Jian1,4; Fu, Li-Yun1,3; Fu, Bo-Ye2,4; Wang, Zhiwei2,4; Hou, Wanting3
2019-09-01
Source PublicationJOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
ISSN0001-4966
Volume146Issue:3Pages:1556-1567
AbstractTemperature-induced variations of elastic moduli in solid media are generally characterized by a strong nonlinear dependence on temperature associated with complex deformations under thermal treatments. Conventional thermoelasticity with third-order elastic constants for the one-order temperature dependence has been extensively studied for crystals, but encountering problems of divergent and limited velocity variations for rocks as a polycrystal mixture, especially at high temperatures. The extension of the theory beyond high-order elastic constants to solid media is addressed in this article to describe the nonlinear temperature dependence of both elastic constants and wave velocities. The total strain is divided into the background component associated with temperature variations and the infinitesimal component induced by propagating waves. A third-order temperature dependence of velocity variations is formulated by taking into account fourth-order elastic constants. Applications to solid rocks (sandstone, granite, and olivine) demonstrate an accurate description of temperature-induced variations, especially for high temperatures. Unlike crystals, the synthetic averaging elastic constants for a solid rock (as a polycrystal mixture) change less than 10% with temperatures. The thermal sensitivity of P-wave velocities is much more than that of S-wave velocities over the vast majority of temperatures examined.
DOI10.1121/1.5124485
Funding OrganizationNational Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China
WOS KeywordGENERALIZED THERMOELASTICITY ; THERMAL-DAMAGE ; PRESSURE ; ATTENUATION ; MODULUS ; MODEL
Language英语
Funding ProjectNational Major Project of China[2017ZX05008007]
Funding OrganizationNational Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China
WOS Research AreaAcoustics ; Audiology & Speech-Language Pathology
WOS SubjectAcoustics ; Audiology & Speech-Language Pathology
WOS IDWOS:000489159400023
PublisherACOUSTICAL SOC AMER AMER INST PHYSICS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/93929
Collection地球与行星物理院重点实验室
Corresponding AuthorFu, Li-Yun
Affiliation1.Chinese Acad Sci, Inst Geochem, State Key Lab Ore Deposit Geochem, 99 Lincheng West Rd, Guiyang 550081, Guizhou, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, 19 Beitucheng Western Rd, Beijing 100029, Peoples R China
3.China Univ Petr East China, Key Lab Deep Oil & Gas, 66 Changjiang West Rd, Qingdao 266580, Shandong, Peoples R China
4.Univ Chinese Acad Sci, 19 A Yuquan Rd, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Yang, Jian,Fu, Li-Yun,Fu, Bo-Ye,et al. On the nonlinear temperature dependence of elastic constants and wave velocities for solid media with applications to geologic materials[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA,2019,146(3):1556-1567.
APA Yang, Jian,Fu, Li-Yun,Fu, Bo-Ye,Wang, Zhiwei,&Hou, Wanting.(2019).On the nonlinear temperature dependence of elastic constants and wave velocities for solid media with applications to geologic materials.JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA,146(3),1556-1567.
MLA Yang, Jian,et al."On the nonlinear temperature dependence of elastic constants and wave velocities for solid media with applications to geologic materials".JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 146.3(2019):1556-1567.
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