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Tensor representation of magnetostriction for all crystal classes

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A systematic representation of the fourth-order magnetostriction tensor for all crystal classes is presented, based on the formalism proposed by Walpole (Proc R Soc Lond Ser A 1984; 391: 149–179).… Click to show full abstract

A systematic representation of the fourth-order magnetostriction tensor for all crystal classes is presented, based on the formalism proposed by Walpole (Proc R Soc Lond Ser A 1984; 391: 149–179). This representation allows the general, unconstrained case, as well as the case in which the magnetostrictive strain is assumed to be isochoric, to be studied. The knowledge of the fourth-order magnetostriction tensor enables the stress-free magnetostrictive strain tensor as well as the scalar strain in a given direction to be calculated.

Keywords: tensor representation; magnetostriction; crystal classes; representation

Journal Title: Mathematics and Mechanics of Solids
Year Published: 2018

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