{"id":132,"date":"2024-05-17T15:16:02","date_gmt":"2024-05-17T06:16:02","guid":{"rendered":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/?page_id=132"},"modified":"2024-05-18T13:36:53","modified_gmt":"2024-05-18T04:36:53","slug":"fatcr","status":"publish","type":"page","link":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/fatcr\/","title":{"rendered":"Fatigue\/Creep"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-dark-yellow-color has-text-color has-link-color wp-elements-1d9bc9da4efd91055988eb06a9f96dd3\">\u25c6Fatigue fracture problem<\/h2>\n\n\n\n<p>The stress-life (S-N) diagrams of non-ferrous alloys do not usually exhibit distinct knee-points (fatigue limit or endurance limit) unlike those of carbon steels. Such a character necessitates us to use a fatigue strength at finite cycles (e.g. 10^7cycle stress) instead of a cycle-independent threshold stress value. Here we raise a question: can we change such an inconvenient character of conventional alloys through a simple metallurgical modification?<br>\u3000We then focused on the possible relation between fatigue limit and strain-aging in carbon steels suggested many decades ago. We employed a conventional A6061-T6 (a typical precipitation-hardened Al alloy) as a base metal and added small amount of strain-aging inducer, i.e. magnesium (Mg). What we encountered was a distinct fatigue limit and, moreover, a clear coaxing effect!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"812\" height=\"499\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image289.png\" alt=\"\" class=\"wp-image-135\" style=\"width:847px;height:auto\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image289.png 812w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image289-300x184.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image289-768x472.png 768w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image289-360x221.png 360w\" sizes=\"auto, (max-width: 812px) 100vw, 812px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"744\" height=\"515\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image290.png\" alt=\"\" class=\"wp-image-137\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image290.png 744w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image290-300x208.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image290-360x249.png 360w\" sizes=\"auto, (max-width: 744px) 100vw, 744px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"738\" height=\"499\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image291.png\" alt=\"\" class=\"wp-image-138\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image291.png 738w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image291-300x203.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image291-360x243.png 360w\" sizes=\"auto, (max-width: 738px) 100vw, 738px\" \/><\/figure>\n\n\n\n<p>For more detail, see:<br><br>Y. Takahashi, T. Shikama, R. Nakamichi, Y. Kawata, N. Kasagi, H. Nishioka, S. Kita, M. Takuma, H. Noguchi, Effect of additional magnesium on mechanical and high-cycle fatigue properties of 6061-T6 alloy, Materials Science &amp; Engineering A641, 2015, pp. 263\u2013273 (<a href=\"http:\/\/dx.doi.org\/10.1016\/j.msea.2015.06.051\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.msea.2015.06.051<\/a>)<br><br><\/p>\n\n\n\n<p>Related studies:<br><br>T. Shikama, Y. Takahashi, L. Zeng, S. Yoshihara, T. Aiura, K. Higashida, H. Noguchi, Distinct fatigue crack propagation limit of new precipitation-hardened aluminium alloy, Scripta Materialia, Vol. 67, 2012, pp. 49\u201352 (<a href=\"https:\/\/doi.org\/10.1016\/j.scriptamat.2012.03.018\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.scriptamat.2012.03.018<\/a>)<\/p>\n\n\n\n<p>Y. Takahashi, T. Shikama, S. Yoshihara, T. Aiura, H. Noguchi, Study on dominant mechanism of high-cycle fatigue life in 6061-T6 aluminum alloy through micro-analyses of microstructurally small cracks, Acta Materialia, Vol. 60, 2012, pp. 2554-2567 (<a href=\"https:\/\/doi.org\/10.1016\/j.actamat.2012.01.023\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.actamat.2012.01.023<\/a>)<\/p>\n\n\n\n<p>Y. Takahashi, H. Yoshitake, R. Nakamichi, T. Wada, M. Takuma, T. Shikama, H. Noguchi, Fatigue limit investigation of 6061-T6 aluminium alloy in giga-cycle regime, Materials Science &amp; Engineering A, Vol. 614, 2014, pp. 243-249.<br>(<a href=\"https:\/\/doi.org\/10.1016\/j.msea.2014.07.039\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.msea.2014.07.039<\/a>)<\/p>\n\n\n\n<p>Y. Takahashi, R. Kuriki, J. Kurihara, T. Kozawa, T. Shikama, H. Noguchi, Distinct fatigue limit of a 6XXX series aluminum alloy in relation to crack tip strain-aging, Materials Science &amp; Engineering A, Vol. 785, 2020, 139378 (<a href=\"https:\/\/doi.org\/10.1016\/j.msea.2020.139378\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.msea.2020.139378<\/a>).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading has-dark-yellow-color has-text-color has-link-color wp-elements-660ed7e78e44b7ec94ac3ccbd54ffff0\">\u25c6 Creep fracture problem<\/h2>\n\n\n\n<p>Structural components like butt joints and LSI packages contain metal\/polymer interfaces. Polymers, unlike metals having high melting temperature, are subjected to time-dependent plasticity (creep) even at room temperature. The fracture nucleation from a free-edge, where the interface meets a free surface, is quantified by the fracture mechanics concept for time-independent problems. The validity of the concept for time-dependent case, however, remains unknown.<br>\u3000We pulled Epoxy\/SUS butt joints under various sustained loads and found a clear stress-life (S-T) tendency regarding fracture nucleation. Near-edge stress analysis by the FEM revealed that the event was controlled by a unique relation of two time-dependent parameters (K; stress intensity factor, lambda: stress singularity). This marks the first example demonstrating the validity of the so-called \u201cK-lambda criterion\u201d in the time domain.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"864\" height=\"500\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image303.png\" alt=\"\" class=\"wp-image-139\" style=\"width:847px;height:auto\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image303.png 864w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image303-300x174.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image303-768x444.png 768w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image303-360x208.png 360w\" sizes=\"auto, (max-width: 864px) 100vw, 864px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"866\" height=\"499\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image304.png\" alt=\"\" class=\"wp-image-140\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image304.png 866w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image304-300x173.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image304-768x443.png 768w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image304-360x207.png 360w\" sizes=\"auto, (max-width: 866px) 100vw, 866px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"788\" height=\"517\" src=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image306.png\" alt=\"\" class=\"wp-image-208\" srcset=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image306.png 788w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image306-300x197.png 300w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image306-768x504.png 768w, https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-content\/uploads\/sites\/321\/2024\/05\/image306-360x236.png 360w\" sizes=\"auto, (max-width: 788px) 100vw, 788px\" \/><\/figure>\n\n\n\n<p>For more detail, see\uff1a<\/p>\n\n\n\n<p>Y. Takahashi, K. Inoue, M. Takuma, K. Saitoh, T. Sato, Fracture mechanics criterion of time-dependent crack initiation from interface free-edge in adhesively bonded butt joints, Engineering Fracture Mechanics, Vol. 186, 2017, pp. 368\u2013377 (<a href=\"http:\/\/dx.doi.org\/10.1016\/j.engfracmech.2017.08.017\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.engfracmech.2017.08.017<\/a>)<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Related studies:<\/p>\n\n\n\n<p>H. Hirakata, T. Hirako, Y. Takahashi, Y. Matsuoka, T. Kitamura, Creep crack initiation at a free edge of an interface between submicron thick elements, Engineering Fracture Mechanics, Vol. 75, 2008, pp. 2907\u20132920 (<a href=\"https:\/\/doi.org\/10.1016\/j.engfracmech.2008.01.007\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1016\/j.engfracmech.2008.01.007<\/a>)<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u25c6Fatigue fracture problem The stress-lif <a href=\"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/fatcr\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":330,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-132","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/pages\/132","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/users\/330"}],"replies":[{"embeddable":true,"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/comments?post=132"}],"version-history":[{"count":10,"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/pages\/132\/revisions"}],"predecessor-version":[{"id":214,"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/pages\/132\/revisions\/214"}],"wp:attachment":[{"href":"https:\/\/wps.itc.kansai-u.ac.jp\/strength-e\/wp-json\/wp\/v2\/media?parent=132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}