Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave
The speed of sound in conventional linear elasticity is determined only by the elastic modulus and the density of the medium. In actuality, however, the speed of sound depends on the stress and this dependency becomes nonlinear as the stress increases. This paper explains such phenomena by introduci...
Gespeichert in:
| Veröffentlicht in: | JSME International Journal Series A Solid Mechanics and Material Engineering 2001, Vol.44(3), pp.383-389 |
|---|---|
| Hauptverfasser: | , , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 389 |
|---|---|
| container_issue | 3 |
| container_start_page | 383 |
| container_title | JSME International Journal Series A Solid Mechanics and Material Engineering |
| container_volume | 44 |
| creator | KIM, Kyung-Cho YAMAWAKI, Hisashi PARK, Jong-Woung JANG, Hyo-Seong KIM, Hong-Jun HWANG, Won-ho JHANG, Kyung-Young |
| description | The speed of sound in conventional linear elasticity is determined only by the elastic modulus and the density of the medium. In actuality, however, the speed of sound depends on the stress and this dependency becomes nonlinear as the stress increases. This paper explains such phenomena by introducing the nonlinear elastic modulus. Additionally, the relationship between nonlinear elastic modulus up to the fourth-order and the internal stress is discussed through computer simulations and experiments for an aluminum specimen. In the simulation, it is shown that the third-order elastic constant contributes to the slope of the sound speed vs stress curve and the fourth-order one determines the curvature. Experimental results shows good agreement with the expected result and the ratio of third- and fourth-order elastic constants present significant changes in magnitude and with sign inversion after the internal stress, becomes larger than the yielding stress. These results show that the measurement of nonlinear elastic constants may enable internal stress evaluation. |
| doi_str_mv | 10.1299/jsmea.44.383 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_26946808</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>26946808</sourcerecordid><originalsourceid>FETCH-LOGICAL-c602t-a4629fc6299736e2e92e5b6002ed190791fdbcefb6ab619c50912ab63a6efaca3</originalsourceid><addsrcrecordid>eNpdkFtLAzEQhRdRUNQ3f0BA8cmtySZNN48i3sALiMXHOJvO2i1popldwX9vakVECJOB881h5hTFgeAjURlzuqAlwkipkazlRrEjpJqUY6nl5nevyokR1XaxT9Q1nFeqVlLwneLlEQkhuTmLgfVzZPcxzJD6NLi--0B2h0BDwiWGnsV2pfou5AF24YH6zrG7OBv8QKz5ZFPqwiub-j4BxZC1Z_jAvWKrBU-4__PvFtPLi6fz6_L24erm_Oy2dJpXfQlKV6Z1uZiJ1FihqXDc6LwpzoThefl21jhsGw2NFsaNeT4ntxI0tuBA7hbHa9-3FN-HfIFdduTQewgYB7KVNkrXvM7g4T9wEYcU8m5WKD3Jj2uRqZM15VIkStjat9QtIX1awe0qb_udt1XK5rwzfvRjCuTAtwmC6-jPjKmVWrmerbEF9fCKvzqkHKXHP57rkq1_NTeHZDHIL7TbmTI</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1467467061</pqid></control><display><type>article</type><title>Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave</title><source>J-STAGE Free</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>KIM, Kyung-Cho ; YAMAWAKI, Hisashi ; PARK, Jong-Woung ; JANG, Hyo-Seong ; KIM, Hong-Jun ; HWANG, Won-ho ; JHANG, Kyung-Young</creator><creatorcontrib>KIM, Kyung-Cho ; YAMAWAKI, Hisashi ; PARK, Jong-Woung ; JANG, Hyo-Seong ; KIM, Hong-Jun ; HWANG, Won-ho ; JHANG, Kyung-Young</creatorcontrib><description>The speed of sound in conventional linear elasticity is determined only by the elastic modulus and the density of the medium. In actuality, however, the speed of sound depends on the stress and this dependency becomes nonlinear as the stress increases. This paper explains such phenomena by introducing the nonlinear elastic modulus. Additionally, the relationship between nonlinear elastic modulus up to the fourth-order and the internal stress is discussed through computer simulations and experiments for an aluminum specimen. In the simulation, it is shown that the third-order elastic constant contributes to the slope of the sound speed vs stress curve and the fourth-order one determines the curvature. Experimental results shows good agreement with the expected result and the ratio of third- and fourth-order elastic constants present significant changes in magnitude and with sign inversion after the internal stress, becomes larger than the yielding stress. These results show that the measurement of nonlinear elastic constants may enable internal stress evaluation.</description><identifier>ISSN: 1344-7912</identifier><identifier>EISSN: 1347-5363</identifier><identifier>DOI: 10.1299/jsmea.44.383</identifier><language>eng</language><publisher>Tokyo: The Japan Society of Mechanical Engineers</publisher><subject>Acoustical measurements and instrumentation ; Acoustics ; Applied sciences ; Cross-disciplinary physics: materials science; rheology ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Industrial metrology. Testing ; Materials science ; Materials testing ; Mechanical engineering. Machine design ; Nondestructive testing: ultrasonic testing, photoacoustic testing ; Nondestructive Ultrasonic Test ; Nonlinear Elastic Modulus ; Physics ; Sound Speed ; Ultrasonic Pulse Echo Method</subject><ispartof>JSME International Journal Series A Solid Mechanics and Material Engineering, 2001, Vol.44(3), pp.383-389</ispartof><rights>2001 by The Japan Society of Mechanical Engineers</rights><rights>2001 INIST-CNRS</rights><rights>Copyright Japan Science and Technology Agency 2001</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c602t-a4629fc6299736e2e92e5b6002ed190791fdbcefb6ab619c50912ab63a6efaca3</citedby><cites>FETCH-LOGICAL-c602t-a4629fc6299736e2e92e5b6002ed190791fdbcefb6ab619c50912ab63a6efaca3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1877,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1098441$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>KIM, Kyung-Cho</creatorcontrib><creatorcontrib>YAMAWAKI, Hisashi</creatorcontrib><creatorcontrib>PARK, Jong-Woung</creatorcontrib><creatorcontrib>JANG, Hyo-Seong</creatorcontrib><creatorcontrib>KIM, Hong-Jun</creatorcontrib><creatorcontrib>HWANG, Won-ho</creatorcontrib><creatorcontrib>JHANG, Kyung-Young</creatorcontrib><title>Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave</title><title>JSME International Journal Series A Solid Mechanics and Material Engineering</title><description>The speed of sound in conventional linear elasticity is determined only by the elastic modulus and the density of the medium. In actuality, however, the speed of sound depends on the stress and this dependency becomes nonlinear as the stress increases. This paper explains such phenomena by introducing the nonlinear elastic modulus. Additionally, the relationship between nonlinear elastic modulus up to the fourth-order and the internal stress is discussed through computer simulations and experiments for an aluminum specimen. In the simulation, it is shown that the third-order elastic constant contributes to the slope of the sound speed vs stress curve and the fourth-order one determines the curvature. Experimental results shows good agreement with the expected result and the ratio of third- and fourth-order elastic constants present significant changes in magnitude and with sign inversion after the internal stress, becomes larger than the yielding stress. These results show that the measurement of nonlinear elastic constants may enable internal stress evaluation.</description><subject>Acoustical measurements and instrumentation</subject><subject>Acoustics</subject><subject>Applied sciences</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Industrial metrology. Testing</subject><subject>Materials science</subject><subject>Materials testing</subject><subject>Mechanical engineering. Machine design</subject><subject>Nondestructive testing: ultrasonic testing, photoacoustic testing</subject><subject>Nondestructive Ultrasonic Test</subject><subject>Nonlinear Elastic Modulus</subject><subject>Physics</subject><subject>Sound Speed</subject><subject>Ultrasonic Pulse Echo Method</subject><issn>1344-7912</issn><issn>1347-5363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpdkFtLAzEQhRdRUNQ3f0BA8cmtySZNN48i3sALiMXHOJvO2i1popldwX9vakVECJOB881h5hTFgeAjURlzuqAlwkipkazlRrEjpJqUY6nl5nevyokR1XaxT9Q1nFeqVlLwneLlEQkhuTmLgfVzZPcxzJD6NLi--0B2h0BDwiWGnsV2pfou5AF24YH6zrG7OBv8QKz5ZFPqwiub-j4BxZC1Z_jAvWKrBU-4__PvFtPLi6fz6_L24erm_Oy2dJpXfQlKV6Z1uZiJ1FihqXDc6LwpzoThefl21jhsGw2NFsaNeT4ntxI0tuBA7hbHa9-3FN-HfIFdduTQewgYB7KVNkrXvM7g4T9wEYcU8m5WKD3Jj2uRqZM15VIkStjat9QtIX1awe0qb_udt1XK5rwzfvRjCuTAtwmC6-jPjKmVWrmerbEF9fCKvzqkHKXHP57rkq1_NTeHZDHIL7TbmTI</recordid><startdate>20010701</startdate><enddate>20010701</enddate><creator>KIM, Kyung-Cho</creator><creator>YAMAWAKI, Hisashi</creator><creator>PARK, Jong-Woung</creator><creator>JANG, Hyo-Seong</creator><creator>KIM, Hong-Jun</creator><creator>HWANG, Won-ho</creator><creator>JHANG, Kyung-Young</creator><general>The Japan Society of Mechanical Engineers</general><general>Japan Society of Mechanical Engineers</general><general>Japan Science and Technology Agency</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QF</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20010701</creationdate><title>Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave</title><author>KIM, Kyung-Cho ; YAMAWAKI, Hisashi ; PARK, Jong-Woung ; JANG, Hyo-Seong ; KIM, Hong-Jun ; HWANG, Won-ho ; JHANG, Kyung-Young</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c602t-a4629fc6299736e2e92e5b6002ed190791fdbcefb6ab619c50912ab63a6efaca3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Acoustical measurements and instrumentation</topic><topic>Acoustics</topic><topic>Applied sciences</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Industrial metrology. Testing</topic><topic>Materials science</topic><topic>Materials testing</topic><topic>Mechanical engineering. Machine design</topic><topic>Nondestructive testing: ultrasonic testing, photoacoustic testing</topic><topic>Nondestructive Ultrasonic Test</topic><topic>Nonlinear Elastic Modulus</topic><topic>Physics</topic><topic>Sound Speed</topic><topic>Ultrasonic Pulse Echo Method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>KIM, Kyung-Cho</creatorcontrib><creatorcontrib>YAMAWAKI, Hisashi</creatorcontrib><creatorcontrib>PARK, Jong-Woung</creatorcontrib><creatorcontrib>JANG, Hyo-Seong</creatorcontrib><creatorcontrib>KIM, Hong-Jun</creatorcontrib><creatorcontrib>HWANG, Won-ho</creatorcontrib><creatorcontrib>JHANG, Kyung-Young</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Aluminium Industry Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>JSME International Journal Series A Solid Mechanics and Material Engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>KIM, Kyung-Cho</au><au>YAMAWAKI, Hisashi</au><au>PARK, Jong-Woung</au><au>JANG, Hyo-Seong</au><au>KIM, Hong-Jun</au><au>HWANG, Won-ho</au><au>JHANG, Kyung-Young</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave</atitle><jtitle>JSME International Journal Series A Solid Mechanics and Material Engineering</jtitle><date>2001-07-01</date><risdate>2001</risdate><volume>44</volume><issue>3</issue><spage>383</spage><epage>389</epage><pages>383-389</pages><issn>1344-7912</issn><eissn>1347-5363</eissn><abstract>The speed of sound in conventional linear elasticity is determined only by the elastic modulus and the density of the medium. In actuality, however, the speed of sound depends on the stress and this dependency becomes nonlinear as the stress increases. This paper explains such phenomena by introducing the nonlinear elastic modulus. Additionally, the relationship between nonlinear elastic modulus up to the fourth-order and the internal stress is discussed through computer simulations and experiments for an aluminum specimen. In the simulation, it is shown that the third-order elastic constant contributes to the slope of the sound speed vs stress curve and the fourth-order one determines the curvature. Experimental results shows good agreement with the expected result and the ratio of third- and fourth-order elastic constants present significant changes in magnitude and with sign inversion after the internal stress, becomes larger than the yielding stress. These results show that the measurement of nonlinear elastic constants may enable internal stress evaluation.</abstract><cop>Tokyo</cop><pub>The Japan Society of Mechanical Engineers</pub><doi>10.1299/jsmea.44.383</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1344-7912 |
| ispartof | JSME International Journal Series A Solid Mechanics and Material Engineering, 2001, Vol.44(3), pp.383-389 |
| issn | 1344-7912 1347-5363 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_26946808 |
| source | J-STAGE Free; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Acoustical measurements and instrumentation Acoustics Applied sciences Cross-disciplinary physics: materials science rheology Exact sciences and technology Fundamental areas of phenomenology (including applications) Industrial metrology. Testing Materials science Materials testing Mechanical engineering. Machine design Nondestructive testing: ultrasonic testing, photoacoustic testing Nondestructive Ultrasonic Test Nonlinear Elastic Modulus Physics Sound Speed Ultrasonic Pulse Echo Method |
| title | Research on the Nondestructive Measurement of Nonlinear Elastic Modulus by Using Ultrasonic Wave |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T04%3A06%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Research%20on%20the%20Nondestructive%20Measurement%20of%20Nonlinear%20Elastic%20Modulus%20by%20Using%20Ultrasonic%20Wave&rft.jtitle=JSME%20International%20Journal%20Series%20A%20Solid%20Mechanics%20and%20Material%20Engineering&rft.au=KIM,%20Kyung-Cho&rft.date=2001-07-01&rft.volume=44&rft.issue=3&rft.spage=383&rft.epage=389&rft.pages=383-389&rft.issn=1344-7912&rft.eissn=1347-5363&rft_id=info:doi/10.1299/jsmea.44.383&rft_dat=%3Cproquest_cross%3E26946808%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1467467061&rft_id=info:pmid/&rfr_iscdi=true |