Abstract
Methods of group representation theory and Schur's lemma are employed to impose restrictions on the constitutive equations for elastic dielectrics which remain invariant under a group of symmetry transformations. The method is discussed in detail and used to derive constitutive equations for Potassium Dyhydrogen Phosphate (KDP), a dielectric which has only one phase transition point at 123°K. The constitutive equations are constructed both in the paraelectric phase (T > 123°K), where the crystal has tetragonal symmetry (4̄2m, (D2d)) and also in the ferroelectric phase (T < 123°K) where the symmetry is of orthorhombic type (mm2(C2v)). The number of independent material constants is found to reduce from 171 to 30 and 54 for the two (phases) symmetry groups, respectively.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
