Technical note: Coordinate representations of important diﬀerential operations in continuum mechanics
Avainsanat:differential operations, coordinates, tensor, Christoffel’s symbols
This note is the last part in the trilogy Tensors in Continuum Mechanics. The ﬁrst part was focused on the representations of m-linear functions on tensor spaces, especially on their duals and transpositions. The second part was dedicated to the memory of Prof. T. Salmi, and it was focused on the curvilinear coordinate systems in continuum mechanics (in Finnish). Because the relationship between stress and their strain conjugates has been discussed in several papers, the focus in the present third part is on a more speciﬁc area of continuum mechanics: representations of important differential operations (the gradient, divergence, rotor, and Laplace) in curvilinear coordinate systems.
Copyright (c) 2024 Sami Holopainen
Tämä työ on lisensoitu Creative Commons Nimeä 4.0 Kansainvälinen Julkinen -lisenssillä.