{"id":1534,"date":"2021-10-18T11:00:00","date_gmt":"2021-10-18T11:00:00","guid":{"rendered":"http:\/\/coquake.eu\/?p=1534"},"modified":"2021-10-17T12:44:26","modified_gmt":"2021-10-17T12:44:26","slug":"does-viscosity-regularize-mesh-dependency-and-strain-localization-on-a-mathematical-plane","status":"publish","type":"post","link":"https:\/\/coquake.eu\/index.php\/2021\/10\/18\/does-viscosity-regularize-mesh-dependency-and-strain-localization-on-a-mathematical-plane\/","title":{"rendered":"Does viscosity regularize mesh dependency and strain localization on a mathematical plane?"},"content":{"rendered":"\n

The answer is no! In https:\/\/authors.elsevier.com\/a\/1dux9AQEIviHm<\/a> (https:\/\/doi.org\/10.1016\/j.cma.2021.114185<\/a>) we prove mathematically and show numerically that viscoplasticity of Perzyna or consistency type in combination with inertia cannot prevent (a) strain localization on a mathematical plane and (b) mesh dependency in numerical calculations.<\/p>\n\n\n\n

We show also the existence of emergent traveling plastic waves and we investigate some of their properties. These waves can be related to the Portevin\u2013Le Chatelier effect and are also observed in numerical simulations of fault gouges under large shear. To be continued!<\/p>\n\n\n\n

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Complex 3D plot of dispersion functions derived after bifurcation analysis.<\/figcaption><\/figure>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

The answer is no! In https:\/\/authors.elsevier.com\/a\/1dux9AQEIviHm (https:\/\/doi.org\/10.1016\/j.cma.2021.114185) we prove mathematically and show numerically that viscoplasticity of Perzyna or consistency type in combination with inertia cannot prevent (a) strain localization on a mathematical plane and (b) mesh dependency in numerical calculations. We show also the existence of emergent traveling plastic waves and we investigate some of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"Does viscosity regularize mesh dependency and strain localization on a mathematical plane? (see below)\n\nA thread \u2b07\ufe0f","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[1],"tags":[18,20,19,17,21,22,12,11,14],"class_list":["post-1534","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-alexandros-stathas","tag-centrale-innovation","tag-ecole-centrale-de-nantes-2","tag-european-research-council-2","tag-blast","tag-coquake","tag-earthquakes","tag-ercstg","tag-geothermalenergy"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pa7Ms2-oK","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/posts\/1534","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/comments?post=1534"}],"version-history":[{"count":3,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/posts\/1534\/revisions"}],"predecessor-version":[{"id":1538,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/posts\/1534\/revisions\/1538"}],"wp:attachment":[{"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/media?parent=1534"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/categories?post=1534"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coquake.eu\/index.php\/wp-json\/wp\/v2\/tags?post=1534"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}