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The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’

We provide a faithful translation of Hans Richter’s important 1949 paper ‘Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Formänderungen’ from its original German version into English, complemented by an introduction summarizing Richter’s achievements.

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Date Issued:
28.01.2020
DOI:
10.1177/1081286519880594
URN:
urn:nbn:de:hbz:465-20220401-154707-3
Language:
English
Type of Resource:
Text
Keywords:
Nonlinear elasticity; hyperelasticity; logarithmic strain tensor; family of strain tensors; isotropy; covariant and contravariant tensors; stress tensor; Seth–Hill strain measures; Doyle–Ericksen strain measures; stress–strain relation
Collection:
E-Publications
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
funding:
Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
Info on primary publication:

Neff, P., Graban, K., Schweickert, E., & Martin, R. J. (2020). The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations.’ Mathematics and Mechanics of Solids, 25(5), 1060–1080. https://doi.org/10.1177/1081286519880594

First Published January 28, 2020

 

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