{"id":5990,"date":"2022-09-07T08:50:22","date_gmt":"2022-09-07T06:50:22","guid":{"rendered":"https:\/\/www.mines-stetienne.fr\/lgf\/?p=5990"},"modified":"2022-09-07T08:54:21","modified_gmt":"2022-09-07T06:54:21","slug":"correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids","status":"publish","type":"post","link":"https:\/\/www.mines-stetienne.fr\/lgf\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\/","title":{"rendered":"Correlative image learning of chemo-mechanics in phase-transforming solids"},"content":{"rendered":"\n<p>Learning the constitutive laws of solids could lead to advancements in energy, electronics and many other scientific and engineering applications. For a single-phase, homogeneous material, constitutive relations involving composition are straightforward to characterize. \u00a0However, learning such laws for materials that are heterogeneous at the nanoscale is substantially more difficult. For example, despite more than two decades of progress, two fundamental questions remain for the currently used battery positive electrode material Li<em><sub>X<\/sub><\/em>FePO<sub>4<\/sub>. a) what is the extent of elastic coherency domain and plastic deformation at phase boundaries, and b) how does the metastable solid solution expand and contract inside the miscibility gap?<\/p>\n\n\n\n<p>Using X-ray spectro-ptychography and four-dimensional scanning transmission electron microscopy (STEM), the local Li composition and lattice strain in thick Li<em><sub>X<\/sub><\/em>FePO<sub>4 <\/sub>particles were identified with an image-learning framework employing physical constraint and regularization (Fig. 1). A mostly linear Li concentration-eigenstrain relation across the entire composition range (for <em>X<\/em>=0.05 \u2013 0.95) was identified, experimentally validating Vegard\u2019s law at the nanoscale.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"943\" height=\"200\" src=\"https:\/\/www.mines-stetienne.fr\/lgf\/wp-content\/uploads\/sites\/6\/2022\/09\/correlative_image_learning.png\" alt=\"Local Li concentration and lattice strain components in a Li0.5FePO4 particle\" class=\"wp-image-5991\" srcset=\"https:\/\/www.mines-stetienne.fr\/lgf\/wp-content\/uploads\/sites\/6\/2022\/09\/correlative_image_learning.png 943w, https:\/\/www.mines-stetienne.fr\/lgf\/wp-content\/uploads\/sites\/6\/2022\/09\/correlative_image_learning-300x64.png 300w, https:\/\/www.mines-stetienne.fr\/lgf\/wp-content\/uploads\/sites\/6\/2022\/09\/correlative_image_learning-768x163.png 768w\" sizes=\"auto, (max-width: 943px) 100vw, 943px\" \/><figcaption>Local Li concentration and lattice strain components in a Li0.5FePO4 particle<\/figcaption><\/figure>\n\n\n\n<p>The lattice strain maps show \u201chot spots\u201d located around the phase boundaries and inside the phase-separated regions, indicating the existence of dislocations. The analysis of X-ray diffraction peak profiles confirmed the presence of dislocations and allowed determining their Burgers and line vectors.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learning the constitutive laws of solids could lead to advancements in energy, electronics and many other scientific and engineering applications. For a single-phase, homogeneous material, constitutive relations involving composition are straightforward to characterize. \u00a0However, learning such laws for materials that are heterogeneous at the nanoscale is substantially more difficult. For example, despite more than two&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"5954,5980","_relevanssi_noindex_reason":"","footnotes":""},"categories":[75],"tags":[],"post_series":[],"class_list":["post-5990","post","type-post","status-publish","format-standard","hentry","category-article","entry","no-media"],"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","pp_force_visibility":null,"pp_subpost_visibility":null,"pp_inherited_force_visibility":null,"pp_inherited_subpost_visibility":null,"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Correlative image learning of chemo-mechanics in phase-transforming solids - Laboratoire Georges Friedel<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mines-stetienne.fr\/lgf\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Correlative image learning of chemo-mechanics in phase-transforming solids - Laboratoire Georges Friedel\" \/>\n<meta property=\"og:description\" content=\"Learning the constitutive laws of solids could lead to advancements in energy, electronics and many other scientific and engineering applications. For a single-phase, homogeneous material, constitutive relations involving composition are straightforward to characterize. \u00a0However, learning such laws for materials that are heterogeneous at the nanoscale is substantially more difficult. For example, despite more than two&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.mines-stetienne.fr\/lgf\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\/\" \/>\n<meta property=\"og:site_name\" content=\"Laboratoire Georges Friedel\" \/>\n<meta property=\"article:author\" content=\"jjj\" \/>\n<meta property=\"article:published_time\" content=\"2022-09-07T06:50:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-09-07T06:54:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.mines-stetienne.fr\/lgf\/wp-content\/uploads\/sites\/6\/2022\/09\/correlative_image_learning.png\" \/>\n<meta name=\"author\" content=\"Gr\u00e9goire\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@qqq\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"Gr\u00e9goire\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/\"},\"author\":{\"name\":\"Gr\u00e9goire\",\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/#\\\/schema\\\/person\\\/53c118c529c866c1454c8138b35880e8\"},\"headline\":\"Correlative image learning of chemo-mechanics in phase-transforming solids\",\"datePublished\":\"2022-09-07T06:50:22+00:00\",\"dateModified\":\"2022-09-07T06:54:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/\"},\"wordCount\":223,\"publisher\":{\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/wp-content\\\/uploads\\\/sites\\\/6\\\/2022\\\/09\\\/correlative_image_learning.png\",\"articleSection\":[\"Article\"],\"inLanguage\":\"fr-FR\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/\",\"url\":\"https:\\\/\\\/www.mines-stetienne.fr\\\/lgf\\\/correlative-image-learning-of-chemo-mechanics-in-phase-transforming-solids\\\/\",\"name\":\"Correlative image learning of chemo-mechanics in phase-transforming solids - 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