Problem 8054. Stress-Strain Properties - 7

Created by goc3

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The toughness of a material is technically defined as the plastic strain energy absorbed by the material (the olive region in the figure below). Practically speaking, it's a measure of how much deformation a material can undergo (or energy it can absorb) before failure.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"center\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function to calculate the toughness of a material—the absorbed strain energy minus the resilience. This can be accomplished by combining the code written in</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/8049-stress-strain-properties-2\"><w:r><w:t>problem 2</w:t></w:r></w:hyperlink><w:r><w:t> (resilience) and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/8053-stress-strain-properties-6\"><w:r><w:t>problem 6</w:t></w:r></w:hyperlink><w:r><w:t> (absorbed strain energy). Also, return the fraction of absorbed strain energy that the toughness represents.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Previous problem: 6 -</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/8053-stress-strain-properties-6\"><w:r><w:t>absorbed strain energy</w:t></w:r></w:hyperlink><w:r><w:t>. Next problem: 8 -</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/8055-stress-strain-properties-8\"><w:r><w:t>material properties list</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.jpg","relationshipId":"rId1"}]},{"partUri":"/media/image1.jpg","contentType":"image/jpg","content":"https://www.simsolid.com/wp-content/uploads/2017/10/stress-strain-curve.jpg","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 299px; vertical-align: baseline; perspective-origin: 332px 299px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; perspective-origin: 309px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; ">The toughness of a material is technically defined as the plastic strain energy absorbed by the material (the olive region in the figure below). Practically speaking, it's a measure of how much deformation a material can undergo (or energy it can absorb) before failure.</div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: center; transform-origin: 309px 201.5px; white-space: pre-wrap; perspective-origin: 309px 201.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="https://www.simsolid.com/wp-content/uploads/2017/10/stress-strain-curve.jpg" data-image-state="image-loaded"></div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 42px; white-space: pre-wrap; perspective-origin: 309px 42px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; ">Write a function to calculate the toughness of a material—the absorbed strain energy minus the resilience. This can be accomplished by combining the code written in <a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/8049-stress-strain-properties-2">problem 2</a> (resilience) and <a target='_blank' href = "http://www.mathworks.com/matlabcentral/cody/problems/8053-stress-strain-properties-6">problem 6</a> (absorbed strain energy). Also, return the fraction of absorbed strain energy that the toughness represents.</div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; ">Previous problem: 6 - <a target='_blank' href = "http://www.mathworks.com/matlabcentral/cody/problems/8053-stress-strain-properties-6">absorbed strain energy</a>. Next problem: 8 - <a target='_blank' href = "http://www.mathworks.com/matlabcentral/cody/problems/8055-stress-strain-properties-8">material properties list</a>.</div></div></div>

Solve

Solution Stats

23 Solutions
8 Solvers

Last Solution submitted on Mar 03, 2021

Last 200 Solutions

Problem Recent Solvers8

Problem Tags

absorbed deformation ductile energy material property resilience strain strain energy strength stress test toughness yield

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 8054. Stress-Strain Properties - 7

Solution Stats

Last 200 Solutions

Problem Recent Solvers8

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 8054. Stress-Strain Properties - 7

Solution Stats

Last 200 Solutions

Problem Recent Solvers8

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players