{"id":5573,"date":"2024-09-12T20:36:08","date_gmt":"2024-09-12T20:36:08","guid":{"rendered":"http:\/\/121.199.166.88\/?post_type=resources&#038;p=5573"},"modified":"2024-09-12T20:39:00","modified_gmt":"2024-09-12T20:39:00","slug":"consolidation-force-on-the-geopyc-when-measuring-foams","status":"publish","type":"resources","link":"https:\/\/micromeritics.com.cn\/en\/resources\/consolidation-force-on-the-geopyc-when-measuring-foams\/","title":{"rendered":"Consolidation Force on the GeoPyc when Measuring Foams"},"content":{"rendered":"\n<p>One of the biggest challenges with density analyses involving foams is compression. Determining the skeletal and envelope density of a foam must be performed in a manner where material compression is not significant. ASTM D6226 requires foams to be analyzed, with a gas pycnometer, at a pressure of 2.9 PSIG (20 kPa) and it is common practice to go up to 3.5 PSIG (24.13 kPa). The GeoPyc compresses DryFlo around the sample with a specified force called the consolidation force. The default consolidation force changes with each chamber size: 12.7mm, 19.1mm, 25.4mm, 38.1mm, and 50.8mm.<\/p>\n\n\n\n<p>The AccuPyc pressure is written in terms of PSIG. This can be converted to N\/cm<sup>2<\/sup> by using equation (1).<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"487\" height=\"63\" src=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-1-3.png\" alt=\"Equation\" class=\"wp-image-5768\" style=\"width:686px;height:auto\" srcset=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-1-3.png 487w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-1-3-300x39.png 300w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/><\/figure>\n<\/div>\n\n\n<p>where 1 PSIG is equal to 6894.75728 N\/m<sup>2<\/sup> , and dividing by 10000 converts m<sup>2<\/sup> to cm<sup>2<\/sup>.<\/p>\n\n\n\n<p>The pressure exerted by the plunger on the contents within the sample chamber for the GeoPyc is given by equation (2).<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"486\" height=\"70\" src=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-2-4.png\" alt=\"Equation\" class=\"wp-image-5767\" style=\"width:679px;height:auto\" srcset=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-2-4.png 486w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-2-4-300x43.png 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/figure>\n<\/div>\n\n\n<p>Where F is the consolidation force, and d is the chamber diameter in centimeters.<\/p>\n\n\n\n<p>If equations (1) and (2) are set equal to each other and then solved for the consolidation force, we get equation (3).<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"476\" height=\"74\" src=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-3-3.png\" alt=\"Equation\" class=\"wp-image-5766\" style=\"width:723px;height:auto\" srcset=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-3-3.png 476w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/equation-3-3-300x47.png 300w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/figure>\n<\/div>\n\n\n<p>Equation (3) allows a consolidation force to be calculated based on GeoPyc chamber size and the pressure that was used to calculate the skeletal density.<\/p>\n\n\n\n<p>Table 1 shows the five GeoPyc chamber sizes with both 2.9 PSIG and 3.5 PSIG pressure that is applied to foams and the consolidation force that is calculated with the equation above.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"640\" src=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force-1024x640.png\" alt=\"Calculated and default consolidation force for all GeoPyc chamber sizes using both 2.9 and 3.5 PSIG\" class=\"wp-image-5772\" srcset=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force-1024x640.png 1024w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force-300x188.png 300w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force-768x480.png 768w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force-1536x961.png 1536w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-1-calculated-and-default-consolidation-force.png 1586w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Table 1. Calculated and default consolidation force for all GeoPyc chamber sizes using both 2.9 and 3.5 PSIG<\/figcaption><\/figure>\n\n\n\n<p>Each sample chamber size was tested to determine the minimum force required to allow the plunger to overcome the frictional forces of the chamber wall. The measured consolidation force was only tested on one chamber of each size so the required force might change slightly between chambers of the same size.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"367\" src=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force-1024x367.png\" alt=\"Minimum consolidation force required to overcome plunger and chamber frictional forces\" class=\"wp-image-5771\" srcset=\"https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force-1024x367.png 1024w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force-300x108.png 300w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force-768x275.png 768w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force-1536x551.png 1536w, https:\/\/micromeritics.com.cn\/wp-content\/uploads\/2024\/09\/table-2-minimum-consolidation-force.png 1576w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Table 2. Minimum consolidation force required to overcome plunger and chamber frictional forces<\/figcaption><\/figure>\n\n\n\n<p>When performing envelope density measurements on foam material, the 25.4mm, 38.1mm, and 50.8mm chambers should be used with a calculated consolidation force. The 12.7mm and 19.1mm chambers should be avoided due to possible compression.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the biggest challenges with density analyses involving foams is compression. Determining the skeletal and envelope density of a foam must be performed in a manner where material compression is not significant. ASTM D6226 requires foams to be analyzed, with a gas pycnometer, at a pressure of 2.9 PSIG (20 kPa) and it is [&hellip;]<\/p>\n","protected":false},"featured_media":5770,"parent":0,"template":"","meta":{"_acf_changed":true},"methods":[26],"resource_type":[8],"class_list":["post-5573","resources","type-resources","status-publish","has-post-thumbnail","hentry","methods-density","resource_type-application-notes"],"acf":[],"_links":{"self":[{"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/resources\/5573","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/resources"}],"about":[{"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/types\/resources"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/media\/5770"}],"wp:attachment":[{"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/media?parent=5573"}],"wp:term":[{"taxonomy":"methods","embeddable":true,"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/methods?post=5573"},{"taxonomy":"resource_type","embeddable":true,"href":"https:\/\/micromeritics.com.cn\/en\/wp-json\/wp\/v2\/resource_type?post=5573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}