{"id":6141,"date":"2025-12-15T11:43:30","date_gmt":"2025-12-15T02:43:30","guid":{"rendered":"https:\/\/aizoth.com\/?post_type=use_case&#038;p=6141"},"modified":"2025-12-15T11:43:30","modified_gmt":"2025-12-15T02:43:30","slug":"contents-e021","status":"publish","type":"use_case","link":"https:\/\/aizoth.com\/en\/use_case\/contents-e021\/","title":{"rendered":"Performance Prediction of Aluminum Alloys, and Optimization of Composition and Processing Conditions Using Multi-Sigma\u00ae"},"content":{"rendered":"\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong><strong><strong><strong><strong><strong>This case study demonstrates how Multi-Sigma<sup>\u00ae<\/sup> predicts aluminum-alloy mechanical properties, and how it identifies optimal compositions and process parameters while balancing property trade-offs.<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\"><strong><strong>1.<\/strong><\/strong> Building a Performance-Prediction Model Using Multi-Sigma\u00ae<\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">We built an AI model that predicts aluminum-alloy mechanical properties (yield strength, tensile strength, elongation) from 24-element composition ratios and eight processing conditions (e.g., solution heat treatment, artificial aging, work hardening). Trained on 450 cases and tested on 50, it achieved reasonably high accuracy.<\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"620\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_1.png\" alt=\"1. Building a Performance-Prediction Model Using Multi-Sigma\u00ae\" class=\"wp-image-7539\" style=\"width:650px;height:auto\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_1.png 964w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_1-300x193.png 300w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"165\" height=\"138\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_2-1.png\" alt=\"1. Building a Performance-Prediction Model Using Multi-Sigma\u00ae\" class=\"wp-image-7647\" style=\"aspect-ratio:1.1957385911909684;width:121px;height:auto\"\/><\/figure>\n<\/div>\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"349\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_32-1024x349.png\" alt=\"1. Building a Performance-Prediction Model Using Multi-Sigma\u00ae\" class=\"wp-image-7674\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_32-1024x349.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_32-300x102.png 300w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_1_32.png 1638w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\"><strong><strong>2. <strong><strong><strong><strong> Contribution Analysis of Mechanical Properties Using Multi-Sigma<sup>\u00ae<\/sup><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Using the contribution-analysis feature, we quantitatively evaluated the impact of each element and processing condition on mechanical properties, providing key insights for balancing multi-property trade-offs in materials design.<\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"228\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_2-1024x228.png\" alt=\"Contribution Analysis of Mechanical Properties Using Multi-Sigma\u00ae\" class=\"wp-image-7541\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_2-1024x228.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_2-300x67.png 300w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\"><strong><strong>3. <strong><strong><strong><strong>Exploring Optimal Composition Ratios and Processing Conditions Using Multi-Sigma<sup>\u00ae<\/sup><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">The multi-objective optimization feature enables the simultaneous optimization of yield strength, tensile strength, and elongation. During optimization, constraints can be set so that the total composition sums to 100% and the processing conditions remain realistic. Even when there are trade-offs among properties (e.g., strength vs. ductility), the method presents multiple Pareto-optimal, balanced solutions, allowing flexible selection of the one that best meets the design objectives. Each optimal solution is accompanied by specific composition ratios and processing conditions, providing actionable guidance for reasonable materials design.<\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"506\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_3-1024x506.png\" alt=\"\" class=\"wp-image-7542\" style=\"width:760px;height:auto\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_3-1024x506.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_3-300x148.png 300w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/12\/E021_3.png 1310w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">Note: The data used in this analysis is processed and edited based on the data published in the article below, under Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) license.<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">Data source: Bhat, Ninad; Barnard, Amanda; Birbilis, Nick (2023), \u201cAluminium alloy dataset for supervised learning\u201d, Mendeley Data, V1, doi: 10.17632\/b6br4yk6r3.1<\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/contact\/\" style=\"border-radius:100px;background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Contact Us<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/freetrial\/\" style=\"border-radius:100px;background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Free Trial<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--3\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/collaborative_research\/\" style=\"border-radius:100px;background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Joint Research<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--4\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/consulting\/\" style=\"border-radius:100px;background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Consulting<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n","protected":false},"author":8,"featured_media":0,"menu_order":45,"template":"","meta":{"_acf_changed":false,"_locale":"en_US","_original_post":"","footnotes":""},"use_case_category":[],"class_list":["post-6141","use_case","type-use_case","status-publish","hentry","en-US"],"acf":[],"_links":{"self":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/6141","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case"}],"about":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/types\/use_case"}],"author":[{"embeddable":true,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/users\/8"}],"version-history":[{"count":6,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/6141\/revisions"}],"predecessor-version":[{"id":7675,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/6141\/revisions\/7675"}],"wp:attachment":[{"href":"https:\/\/aizoth.com\/?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6141"}],"wp:term":[{"taxonomy":"use_case_category","embeddable":true,"href":"https:\/\/aizoth.com\/?rest_route=%2Fwp%2Fv2%2Fuse_case_category&post=6141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}