Cracking Force Analysis for Apricot Pit Decortication Based on Mathematical Model of Hertz's Theory
In decortication of wild apricot pit a mathematical model based on Hertz's theory of contact stress was developed for the prediction of force required to break the pit. Using pits subjected to a uniaxial compression stress, in their lateral axis between rigid parallel plates, and those propelle...
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| Veröffentlicht in: | International journal of food properties 2015-11, Vol.18 (11), p.2528-2538 |
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| container_title | International journal of food properties |
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| creator | Kate, A. E. Sarkar, A. Shahi, N. C. Lohani, U. C. |
| description | In decortication of wild apricot pit a mathematical model based on Hertz's theory of contact stress was developed for the prediction of force required to break the pit. Using pits subjected to a uniaxial compression stress, in their lateral axis between rigid parallel plates, and those propelled to impinge a rigid cylindrical seat along its lateral axis, experimental verification of the model was conducted comparing the theoretical predictions with estimates from the representations of conventional methods employed in pit cracking. Properties including size, shape, and mass, required in the derived model were determined for wild apricot pits. Material stiffness was obtained from the force-deformation curve. Material stiffness obtained was 51.1 × 10
6
to 46.9 × 10
6
Nm-1 for different sizes of the pits (12, 11, 10, and |
| doi_str_mv | 10.1080/10942912.2014.986578 |
| format | Article |
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6
to 46.9 × 10
6
Nm-1 for different sizes of the pits (12, 11, 10, and <10 mm). The respective ranges of geometric mean diameters were between 16.92-15.05 mm. There was no significant variation of pit sphericity with size of pits. Force prediction from the Hertzian model proposed gave good prediction of cracking force that was not significantly different from that obtained from an impact force decorticator (1.2 kg weight reciprocating with 100 rpm and 30 cm stroke length) and compression force required calculated from a texture analyzer.</description><identifier>ISSN: 1094-2912</identifier><identifier>EISSN: 1532-2386</identifier><identifier>DOI: 10.1080/10942912.2014.986578</identifier><language>eng</language><publisher>Abingdon: Taylor & Francis</publisher><subject>Apricot pit ; Cracking ; Cracks ; Deformation ; Food science ; Force-deformation ; Fruits ; Geometry ; Hertzian model ; Mathematical models ; Stiffness ; Stress analysis</subject><ispartof>International journal of food properties, 2015-11, Vol.18 (11), p.2528-2538</ispartof><rights>Copyright © Taylor & Francis Group, LLC</rights><rights>Copyright Taylor & Francis Ltd. 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-74495b66edbd5832f1ec1ff5471ccb8111258d20665c920393ab1a2249b1fef63</citedby><cites>FETCH-LOGICAL-c381t-74495b66edbd5832f1ec1ff5471ccb8111258d20665c920393ab1a2249b1fef63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Kate, A. E.</creatorcontrib><creatorcontrib>Sarkar, A.</creatorcontrib><creatorcontrib>Shahi, N. C.</creatorcontrib><creatorcontrib>Lohani, U. C.</creatorcontrib><title>Cracking Force Analysis for Apricot Pit Decortication Based on Mathematical Model of Hertz's Theory</title><title>International journal of food properties</title><description>In decortication of wild apricot pit a mathematical model based on Hertz's theory of contact stress was developed for the prediction of force required to break the pit. Using pits subjected to a uniaxial compression stress, in their lateral axis between rigid parallel plates, and those propelled to impinge a rigid cylindrical seat along its lateral axis, experimental verification of the model was conducted comparing the theoretical predictions with estimates from the representations of conventional methods employed in pit cracking. Properties including size, shape, and mass, required in the derived model were determined for wild apricot pits. Material stiffness was obtained from the force-deformation curve. Material stiffness obtained was 51.1 × 10
6
to 46.9 × 10
6
Nm-1 for different sizes of the pits (12, 11, 10, and <10 mm). The respective ranges of geometric mean diameters were between 16.92-15.05 mm. There was no significant variation of pit sphericity with size of pits. Force prediction from the Hertzian model proposed gave good prediction of cracking force that was not significantly different from that obtained from an impact force decorticator (1.2 kg weight reciprocating with 100 rpm and 30 cm stroke length) and compression force required calculated from a texture analyzer.</description><subject>Apricot pit</subject><subject>Cracking</subject><subject>Cracks</subject><subject>Deformation</subject><subject>Food science</subject><subject>Force-deformation</subject><subject>Fruits</subject><subject>Geometry</subject><subject>Hertzian model</subject><subject>Mathematical models</subject><subject>Stiffness</subject><subject>Stress analysis</subject><issn>1094-2912</issn><issn>1532-2386</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAUhC0EEqXwDxgsMTCl-Nlx4kyoFApIrWAos-U4Nk1J42K7QuHXkyqwMr2T3t1J9yF0CWQCRJAbIEVKC6ATSiCdFCLjuThCI-CMJpSJ7LjXvSU5eE7RWQgbQkAwICOkZ17pj7p9x3PntcHTVjVdqAO2zuPpztfaRfxaR3xvtPOx1irWrsV3KpgK92Kp4tps1eHR4KWrTIOdxU_Gx-_rgFdr43x3jk6saoK5-L1j9DZ_WM2eksXL4_Nsukg0ExCTPE0LXmaZqcqKC0YtGA3W8jQHrUsBAJSLipIs47qghBVMlaAoTYsSrLEZG6OroXfn3efehCg3bu_7QUFCTkjOWS5Y70oHl_YuBG-s7Fdule8kEHnAKf9wygNOOeDsY7dDrG57NFv15XxTyai6xnnrVavrINm_DT_kYHrk</recordid><startdate>20151102</startdate><enddate>20151102</enddate><creator>Kate, A. E.</creator><creator>Sarkar, A.</creator><creator>Shahi, N. C.</creator><creator>Lohani, U. C.</creator><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7QR</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope></search><sort><creationdate>20151102</creationdate><title>Cracking Force Analysis for Apricot Pit Decortication Based on Mathematical Model of Hertz's Theory</title><author>Kate, A. E. ; Sarkar, A. ; Shahi, N. C. ; Lohani, U. C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-74495b66edbd5832f1ec1ff5471ccb8111258d20665c920393ab1a2249b1fef63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Apricot pit</topic><topic>Cracking</topic><topic>Cracks</topic><topic>Deformation</topic><topic>Food science</topic><topic>Force-deformation</topic><topic>Fruits</topic><topic>Geometry</topic><topic>Hertzian model</topic><topic>Mathematical models</topic><topic>Stiffness</topic><topic>Stress analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kate, A. E.</creatorcontrib><creatorcontrib>Sarkar, A.</creatorcontrib><creatorcontrib>Shahi, N. C.</creatorcontrib><creatorcontrib>Lohani, U. C.</creatorcontrib><collection>CrossRef</collection><collection>Chemoreception Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><jtitle>International journal of food properties</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kate, A. E.</au><au>Sarkar, A.</au><au>Shahi, N. C.</au><au>Lohani, U. C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cracking Force Analysis for Apricot Pit Decortication Based on Mathematical Model of Hertz's Theory</atitle><jtitle>International journal of food properties</jtitle><date>2015-11-02</date><risdate>2015</risdate><volume>18</volume><issue>11</issue><spage>2528</spage><epage>2538</epage><pages>2528-2538</pages><issn>1094-2912</issn><eissn>1532-2386</eissn><abstract>In decortication of wild apricot pit a mathematical model based on Hertz's theory of contact stress was developed for the prediction of force required to break the pit. Using pits subjected to a uniaxial compression stress, in their lateral axis between rigid parallel plates, and those propelled to impinge a rigid cylindrical seat along its lateral axis, experimental verification of the model was conducted comparing the theoretical predictions with estimates from the representations of conventional methods employed in pit cracking. Properties including size, shape, and mass, required in the derived model were determined for wild apricot pits. Material stiffness was obtained from the force-deformation curve. Material stiffness obtained was 51.1 × 10
6
to 46.9 × 10
6
Nm-1 for different sizes of the pits (12, 11, 10, and <10 mm). The respective ranges of geometric mean diameters were between 16.92-15.05 mm. There was no significant variation of pit sphericity with size of pits. Force prediction from the Hertzian model proposed gave good prediction of cracking force that was not significantly different from that obtained from an impact force decorticator (1.2 kg weight reciprocating with 100 rpm and 30 cm stroke length) and compression force required calculated from a texture analyzer.</abstract><cop>Abingdon</cop><pub>Taylor & Francis</pub><doi>10.1080/10942912.2014.986578</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| source | EZB-FREE-00999 freely available EZB journals |
| subjects | Apricot pit Cracking Cracks Deformation Food science Force-deformation Fruits Geometry Hertzian model Mathematical models Stiffness Stress analysis |
| title | Cracking Force Analysis for Apricot Pit Decortication Based on Mathematical Model of Hertz's Theory |
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