{"id":6936,"date":"2021-12-11T13:52:24","date_gmt":"2021-12-11T12:52:24","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6936"},"modified":"2024-05-22T14:59:16","modified_gmt":"2024-05-22T13:59:16","slug":"how-to-calculate-and-solve-for-fracture-toughness-on-knoop-indentor-polymer-deformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-fracture-toughness-on-knoop-indentor-polymer-deformation\/","title":{"rendered":"How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-6942\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/fracture-toughness-on-knoop-indentor.jpg\" alt=\"\" width=\"243\" height=\"208\" \/><\/p>\n<p>The image above represents fracture toughness on knoop indentor. To calculate fracture toughness on knoop indentor, five essential parameters are needed and these parameters are <strong>Indentor Constant (d), Elastic Modulus, (E), Indentation Hardness Value (H), Load (P) <\/strong>and <strong>a.<\/strong><\/p>\n<h3><strong>The formula for calculating fracture toughness on knoop indentor:<\/strong><\/h3>\n<p>K<sub>c<\/sub> = <sup>d(E)(P)<\/sup> \/ <sub>H(a)<sup>3\/2<\/sup><\/sub><\/p>\n<p>Where:<\/p>\n<p>K<sub>c<\/sub> = Fracture Toughness on Knoop Indentor<br \/>\nd = Indentor Constant<br \/>\nE = Elastic Modulus<br \/>\nH = Indentation Hardness Value<br \/>\nP = Load<br \/>\na<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the fracture toughness on knoop indentor when the indentor constant is 2, the elastic modulus is 4, the indentation hardness value is 6, the load is 8 and a is 3.<\/p>\n<p>This implies that;<\/p>\n<p>d = Indentor Constant = 2<br \/>\nE = Elastic Modulus = 4<br \/>\nH = Indentation Hardness Value = 6<br \/>\nP = Load = 8<br \/>\na = 3<\/p>\n<p>K<sub>c<\/sub> = <sup>d(E)(P)<\/sup> \/ <sub>H(a)<sup>3\/2<\/sup><\/sub><br \/>\nK<sub>c<\/sub> = <sup>(2)(4)(8)<\/sup> \/ <sub>(6)(3)<sup>3\/2<\/sup><\/sub><br \/>\nThat is, K<sub>c<\/sub> = <sup>64<\/sup> \/ <sub>(6)(5.196)<\/sub><br \/>\nK<sub>c<\/sub> = <sup>64<\/sup> \/ <sub>31.176<\/sub><br \/>\nK<sub>c<\/sub> = 2.05<\/p>\n<p>Therefore, the <strong>fracture toughness on knoop indentor <\/strong>is <strong>2.05 J\/m\u00b3.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-crack-opening-displacement-polymer-deformation\/\">How to Calculate and Solve for Crack Opening Displacement | Polymer Deformation<\/a><\/p>\n<h3><strong>How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the fracture toughness on knoop indentor.<\/p>\n<div>\n<p>To get the answer and workings of the fracture toughness on knoop indentor 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 <\/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 <b>Polymer Deformation <\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6879 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Fracture Toughness on Knoop Indentor<\/strong> under <strong>Polymer Deformation<br \/>\n<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6965 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-566.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-566.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-566-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-566-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-566-768x432.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 fracture toughness on knoop indentor according to the respective parameter which is the <strong>Indentor Constant (d), Elastic Modulus, (E), Indentation Hardness Value (H), Load (P) <\/strong>and <strong>a.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6966 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-567.png\" alt=\"How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-567.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-567-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-567-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-567-768x432.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>Indentor Constant (d)<\/strong> is <strong>2<\/strong>,<strong> Elastic Modulus, (E)<\/strong> is <strong>4<\/strong>,<strong> Indentation Hardness Value (H)<\/strong> is <strong>6<\/strong>,<strong> Load (P)<\/strong> is <strong>8 <\/strong>and <strong>a<\/strong> is <strong>3<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6967 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-568.png\" alt=\"How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-568.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-568-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-568-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-568-768x432.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-6968 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-569.png\" alt=\"How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-569.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-569-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-569-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-569-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-6969 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-570.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-570.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-570-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-570-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-570-768x432.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 fracture toughness on knoop indentor and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents fracture toughness on knoop indentor. To calculate fracture toughness on knoop indentor, five essential&hellip;","protected":false},"author":5,"featured_media":15568,"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":[1019,1931,60,1977,1976,1975,239,543,1935],"class_list":["post-6936","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-a","tag-elastic-modulus","tag-engineering","tag-fracture-toughness","tag-indentation-hardness-value","tag-indentor-constant","tag-load","tag-materials-and-metallurgical","tag-polymer-deformation","cs-entry"],"yoast_head":"<!-- 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