{"id":8400,"date":"2022-12-16T08:46:43","date_gmt":"2022-12-16T07:46:43","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8400"},"modified":"2024-06-07T16:27:34","modified_gmt":"2024-06-07T15:27:34","slug":"how-to-calculate-and-solve-for-yield-stress-for-single-crystal-deformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/16\/how-to-calculate-and-solve-for-yield-stress-for-single-crystal-deformation\/","title":{"rendered":"How to Calculate and Solve for Yield Stress for Single Crystal | Deformation"},"content":{"rendered":"<p>The image of yield stress for single crystal is represented below. To calculate yield stress for single crystal, two essential parameters are needed and these parameters are <strong>Critical Resolved Shear Stress (\u03c4<sub>crss<\/sub>)\u00a0<\/strong>and\u00a0<strong>(cos\u03c6cos\u03bb)<sub>max<\/sub>.<\/strong><\/p>\n<h2><img decoding=\"async\" class=\"alignnone size-full wp-image-8410\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/yield-stress-for-single-crystal.jpg\" alt=\"\" width=\"225\" height=\"225\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/yield-stress-for-single-crystal.jpg 225w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/yield-stress-for-single-crystal-150x150.jpg 150w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><\/h2>\n<h2><strong>The formula for calculating yield stress for single crystal:<\/strong><\/h2>\n<p>\u03c3<sub>y<\/sub>\u00a0=\u00a0<sup>\u03c4<sub>crss<\/sub><\/sup>\/<sub>(cos\u03c6cos\u03bb)max<\/sub><\/p>\n<p>Where:<\/p>\n<p>\u03c3<sub>y<\/sub>\u00a0= Yield Stress for Single Crystal<br \/>\n\u03c4<sub>crss<\/sub>\u00a0= Critical Resolved Shear Stress<br \/>\n\u03c6, \u03bb = Stress Axis Orientations<\/p>\n<p>Given an example;<br \/>\nFind the yield stress for single crystal when the critical resolved shear stress is 24 and the (cos\u03c6cos\u03bb)<sub>max<\/sub>\u00a0is 8.<\/p>\n<p>This implies that;<\/p>\n<p>\u03c4<sub>crss<\/sub> = Critical Resolved Shear Stress = 24<br \/>\n(cos\u03c6cos\u03bb)<sub>max<\/sub>\u00a0= 8<\/p>\n<p>\u03c3<sub>y<\/sub>\u00a0=\u00a0<sup>\u03c4<sub>crss<\/sub><\/sup>\/<sub>(cos\u03c6cos\u03bb)max<\/sub><br \/>\nThat is, \u03c3<sub>y<\/sub>\u00a0=\u00a0<sup>24<\/sup>\/<sub>8<\/sub><br \/>\n\u03c3<sub>y<\/sub> = 3<\/p>\n<p>Therefore, the\u00a0<strong>yield stress for single crystal\u00a0<\/strong>is\u00a0<strong>3 Pa.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/19\/how-to-calculate-and-solve-for-minimum-stress-for-yielding-deformation\/\">How to Calculate and Solve for Minimum Stress for Yielding | Deformation<\/a><\/p>\n<h3><strong>Calculating the Critical Resolved Shear Stress when the Yield Stress for Single Crystal and the (cos\u03c6cos\u03bb)<sub>max<\/sub> are Given<\/strong><\/h3>\n<p>\u03c4<sub>crss<\/sub> = \u03c3<sub>y<\/sub> x <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/16\/how-to-calculate-and-solve-for-cos%cf%86cos%ce%bbmax-deformation\/\">(cos\u03c6cos\u03bb)<sub>max<\/sub><\/a><\/p>\n<p>Where:<\/p>\n<p>\u03c4<sub>crss<\/sub>\u00a0= Critical Resolved Shear Stress<br \/>\n\u03c3<sub>y<\/sub>\u00a0= Yield Stress for Single Crystal<br \/>\n\u03c6, \u03bb = Stress Axis Orientations<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the critical resolved shear stress when the yield stress for single crystal is 20 and the (cos\u03c6cos\u03bb)<sub>max<\/sub>\u00a0is 4.<\/p>\n<p>This implies that;<\/p>\n<p>\u03c3<sub>y<\/sub> = Yield Stress for Single Crystal = 20<br \/>\n(cos\u03c6cos\u03bb)<sub>max<\/sub>\u00a0= 4<\/p>\n<p>\u03c4<sub>crss<\/sub> = \u03c3<sub>y<\/sub> x (cos\u03c6cos\u03bb)<sub>max<\/sub><br \/>\nSo, \u03c4<sub>crss<\/sub> = 20 x 4<br \/>\n\u03c4<sub>crss<\/sub> = 80<\/p>\n<p>Therefore, the\u00a0<strong>critical resolved shear stress\u00a0<\/strong>is\u00a0<strong>80.<\/strong><\/p>\n<h3><strong>How to Calculate Yield Stress for Single Crystal Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the yield stress for single crystal.<\/p>\n<div>\n<p>To get the answer and workings of the yield stress for single crystal using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p><strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-2.png\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Deformation<\/strong><b>\u00a0<\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8416 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-96-1.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-96-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-96-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-96-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-96-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Yield Stress for Single Crystal<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Deformation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8428 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the yield stress for single crystal according to the respective parameter which is the <strong>Critical Resolved Shear Stress (\u03c4<sub>crss<\/sub>)\u00a0<\/strong>and\u00a0<strong>(cos\u03c6cos\u03bb)<sub>max<\/sub>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8429 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-111-1.png\" alt=\"How to Calculate and Solve for Yield Stress for Single Crystal | Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-111-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-111-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-111-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-111-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Critical Resolved Shear Stress (\u03c4<sub>crss<\/sub>)<\/strong> is <strong>24 <\/strong>and <strong>(cos\u03c6cos\u03bb)<sub>max<\/sub>\u00a0<\/strong>is\u00a0<strong>8.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8430 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-112-1.png\" alt=\"How to Calculate and Solve for Yield Stress for Single Crystal | Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-112-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-112-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-112-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-112-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8431 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-113-1.png\" alt=\"How to Calculate and Solve for Yield Stress for Single Crystal | Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-113-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-113-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-113-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-113-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from\u00a0the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the yield stress for single crystal and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image of yield stress for single crystal is represented below. To calculate yield stress for single crystal,&hellip;","protected":false},"author":5,"featured_media":16480,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[2336,2338,2335,60,543,2339],"class_list":["post-8400","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-coscosmax","tag-critical-resolved-shear-stress","tag-deformation","tag-engineering","tag-materials-and-metallurgical","tag-yield-stress-for-single-crystal","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Yield Stress for Single Crystal | Deformation<\/title>\n<meta name=\"description\" content=\"Master the steps and the formula on How to Calculate and Solve for Yield Stress for Single Crystal. 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