## Constitutive equations of nonlinear electromagnetic-elastic crystalsThis monograph offers the first comprehensive treatment of the material properties of non-linear electromagnetic elastic crystals through constitutive equations. The lists and tables given in this volume are essential to the discussion of material properties of magnetic crystal classes and for research in the nonlinear electro-magnetic theory of elastic solids. Nonlinear optics, nonlinear magnetism, elastic solids subject to large fields, plasma physics are but a few areas where one needs nonlinear constitutive equations in their final forms. The method and materials provided here should be useful, therefore, to material scientists, engineers, and physicists working in these fields. Several examples of applications to demonstrate the use of the theory are included. The results have been verified by means of computer. |

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### Contents

Electromagnetic Theory | 6 |

Crystallographic Magnetic Point Groups | 24 |

CHAPTER 4 | 38 |

Copyright | |

7 other sections not shown

### Other editions - View all

Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals E. Kiral,A.Cemal Eringen Limited preview - 2012 |

Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals E. Kiral,A.Cemal Eringen No preview available - 2011 |

### Common terms and phrases

actual elements AUA2 axial base vectors basis are given c-tensors character system class 2/m class 4/mmm class 4mm coefficients complex conjugate consider constitutive equations conventional point groups crystal classes Type crystallographic crystallographic group crystallographic point groups decomposition defined Degree denote direct product electromagnetic elements are listed Elements in Etj Etj and Pt F G H form the carrier group C3v group G Hence independent components integrity basis invariant inversion irreducible representations isomorphic Kiral linear combinations listed in Table magnetic class Magnetic Crystal Class magnetic point groups magnetic symmetry material tensor matrices monoclinic multiplication table nonvanishing Note obtained on/y ordinary point groups Pi Pi piezomagnetism piezomagnetoelectricity polarization Pt and Mt PUP2 real and imaginary Rep(Z respectively rotations scalar second-order strain tensor subgroup symmetry elements symmetry group symmetry operations Table B.7 tetragonal Theorem TMEs triclinic typical multilinear elements unitary write