leonhard euler discovered the law of elastic properties of matter.
leonhard euler discovered the law of elastic properties of matter.
who discovered the law of elastic properties of matter?
leonhard euler
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brillouin spectroscopy is an extremely strong tool for determining the complete elastic tensor, formula_4, of solids. the elastic tensor is an 81 component 3x3x3x3 matrix which, through hooke’s law, relates stress and strain within a given material. the number of independent elastic constants found within the elastic tensor can be reduced, through symmetry operations, and depends on the symmetry of a given material ranging from 2 for non-crystalline substances or 3 for cubic crystals to 21 for systems with triclinic symmetry. the tensor is unique to given materials and thus must be independently determined for each material in order to understand their elastic properties. the elastic tensor is especially important to mineral physicist and seismologists looking to understand the bulk, polycrystalline, properties of deep earth minerals. it is possible to determine elastic properties of materials such as the adiabatic bulk modulus, formula_5, without first finding the complete elastic tensor through techniques such as the determination of an equation of state through a compression study. elastic properties found in this way, however, do not scale well to bulk systems such as those found within rock assemblages in the earth’s mantle. in order to calculate the elastic properties of bulk material with randomly oriented crystals the elastic tensor is needed.
brillouin spectroscopy