A systematic approach to reduce the independent tensor components by symmetry transformations: a commented translation of “Tensors and Crystal Symmetry” by Carl Hermann

Rainer Glüge (1, 2) , Marcus Assmus (2)

1 University of Bremen
2 OVGU - Otto-von-Guericke-Universität Magdeburg = Otto-von-Guericke University [Magdeburg]

Abstract We here present a faithful translation of Carl Hermann’s important 1934 paper “Tensoren und Kristallsymmetrie”. This work, originally published in German language, is transferred into English while the preceding foreword summarizes Hermann’s achievements.

Mots clés: Crystal symmetry; Symmetry groups; Elasticity; Fourth-order tensor; Hermann’s theorem

Domaines: Mathématiques [math]; Mécanique [physics]

Rainer Glüge, Marcus Assmus. A systematic approach to reduce the independent tensor components by symmetry transformations: a commented translation of “Tensors and Crystal Symmetry” by Carl Hermann. Continuum Mechanics and Thermodynamics, 2021, ⟨10.1007/s00161-021-00978-5⟩. ⟨hal-03280437⟩