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## Plane stressIn real engineering components, stress (and strain) are 3-D tensors, however when one of the dimensions of the material is much smaller than the other two, it can be neglected and the resulting state of stress becomes bidimensional. ## Additional recommended knowledgeUsing the generalized form of Hooke's law: ε where E is the Young's modulus of elasticity, and combining this with the principle of superposition, we obtain: ε where ν is poisson's ratio, which can be used to calculate various components of the stress or strain state. Additionally, the stress tensor can then be approximated by: - .
in which the double underline indicates a second order tensor. This stress state is called in which the non-zero ε Moreover, this can graphically be represented using Mohr's circle, which is a graphical solution of a biaxial state of stress. Mohr's circle is most notably used for making stress transformations in a 2-D and even 3-D state. ## See also## ReferencesMeyers and Chawla (1999): "Mechanical Behavior of Materials," 66-75. |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Plane_stress". A list of authors is available in Wikipedia. |