{"id":194946,"date":"2024-08-22T09:23:00","date_gmt":"2024-08-22T14:23:00","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/08\/cauchy-stress-tensor"},"modified":"2024-08-22T09:23:00","modified_gmt":"2024-08-22T14:23:00","slug":"cauchy-stress-tensor","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/08\/cauchy-stress-tensor","title":{"rendered":"Cauchy stress tensor"},"content":{"rendered":"

<\/a><\/p>\n

\u201cthe Cauchy stress tensor<\/i> completely defines the state of stress at a point inside a material in the deformed state\u201d<\/p>\n

The Cauchy Stress Tensor.<\/p>\n

Imagine you\u2019re holding a rubber band in your hands and stretching it.<\/p>\n

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The SI base units<\/a> of both stress tensor and traction<\/i> vector<\/i> are newton per square metre<\/a> (N\/m2<\/sup>) or pascal<\/a> (Pa), corresponding to the stress scalar. The unit vector is dimensionless<\/a>.<\/p>\n

The Cauchy stress tensor<\/i> obeys the tensor transformation law<\/a> under a change in the system of coordinates. A graphical representation of this transformation law is the Mohr\u2019s circle<\/a> for stress.<\/p>\n

The Cauchy stress tensor<\/i> is used for stress analysis<\/a> of material bodies experiencing small deformations<\/a>: it is a central concept in the linear theory of elasticity<\/a>. For large deformations, also called finite deformations<\/a>, other measures of stress are required, such as the Piola\u2013Kirchhoff stress tensor<\/a>, the Biot stress tensor<\/a>, and the Kirchhoff stress tensor<\/a>.<\/p>\n

Continue reading \u201cCauchy stress tensor\u201d | ><\/a><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"

\u201cthe Cauchy stress tensor completely defines the state of stress at a point inside a material in the deformed state\u201d The Cauchy Stress Tensor. Imagine you\u2019re holding a rubber band in your hands and stretching it. The SI base units of both stress tensor and traction vector are newton per square metre (N\/m2) or pascal [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1496,1635],"tags":[],"class_list":["post-194946","post","type-post","status-publish","format-standard","hentry","category-law","category-materials"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/194946","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=194946"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/194946\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=194946"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=194946"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=194946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}