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Elastic strain energy density equation

Posted Mar 18, 2024, 8:57 a.m. EDT 2 Replies

Max Käfer
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Hello together, in the Structural Mechanics Module User's Guide the equation for the elastic strain energy density can be found on page 407 (also attached). The equation inculudes a ":" between the sigma and dEpsilonel in the integral. What is the exact definition of this ":", because it can not be a fraction? Please provide an explanation. Yours sincerely, Max

2 Replies Last Post Mar 19, 2024, 8:02 a.m. EDT
Magnus Ringh COMSOL Employee

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Posted: 7 months ago Mar 18, 2024, 9:40 a.m. EDT
Updated: 7 months ago Mar 18, 2024, 9:40 a.m. EDT

Hi Max,

The colon (:) represents the double-dot tensor product (or double contraction). See the theory section about Linear Elastic Material in the theory chapter in the documentation for the Structural Mechanics Module.

Best regards,

Magnus

Hi Max, The colon (:) represents the double-dot tensor product (or double contraction). See the theory section about *Linear Elastic Material* in the theory chapter in the documentation for the *Structural Mechanics Module*. Best regards, Magnus
Max Käfer
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Posted: 7 months ago Mar 19, 2024, 8:02 a.m. EDT

Hi Magnus, thank you very much for your reply and the explanation. Best regards, Max

Hi Magnus, thank you very much for your reply and the explanation. Best regards, Max

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