Abstract
We consider a body before and after deformation. In the undeformed body we establish a coordinate system xi and permanently affix the values of its coordinates to each material point (particle). This means that such points will also be known by the same values xi even after deformation, although moved to a different place. In other words, the coordinate system undergoes the same deformation as the body. Coordinates used in this way are called particle coordinates or convected coordinates.
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References
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (4th ed.) ( New York: Dover, 1944 ).
S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (3rd ed.) ( New York: McGraw-Hill,, 1970 ).
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© 1972 Springer-Verlag Berlin Heidelberg
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Flügge, W. (1972). The Strain Tensor. In: Tensor Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88382-8_2
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DOI: https://doi.org/10.1007/978-3-642-88382-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-88384-2
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