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Engineering, 11.12.2019 19:31 stodd9503

Ahydrostatic compressive stress applied to a material results in a dilation (i. e. volume change) of −10−5 . the material is linearly elastic but anisotropic and is described by the following elastic constants c = c = c = 50 gpa, c1122 = c1133 = c2233 = 40 gpa, and c2323 = c1313 = c1212 = 32 gpa. a material which exhibits the kind of elastic symmetry indicated in the elastic constants (i. e. the manner in which certain constants are equal to each other) is referred to as a material with cubic symmetry. face-centered-cubic and body-centered-cubic materials are examples of this kind. (a) write an expression for the general 3d hooke’s law for this material, and (b) compute the applied hydrostatic stress. hint: such materials when subjected to a hydrostatic state of stress will deform equally in the three principal directions (i. e. the directions of the applied stresses)

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