Lagrangian density of linear elastic solid

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The discussion focuses on the search for the general expression of the Lagrangian density for linear elastic solids. A participant expresses difficulty in finding this information and seeks assistance. A suggested resource is a paper linked in the thread, which appears to be relevant to the topic. The conversation highlights the need for clear references in the field of elasticity and Lagrangian mechanics. Overall, the thread emphasizes the importance of accessible academic resources for understanding complex topics in solid mechanics.
becko
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I need the general expression for the lagrangian density of a linear elastic solid. I haven't been able to find this anywhere. Thanks.
 
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This paper looks promising:http://www.pmi.ou.edu/Biot2005/papers/FILES/066.PDF"
 
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For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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