Continuum Mechanics Part 1: Why the Deformation Gradient is Important

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This video is part one of my series on continuum mechanics. The focus is on kinematics and the deformation gradient.
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It is a good way to start from the kinematics in a short videos. If you can keep this format, while giving some highlights on the tensorial notation, it would be a perfect content to engineers and students for quick updates in the continuum mechancis. I am looking forward for the next videos!

frankegoularte
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Hi Sir, Thanks for the interesting series and I look forward to upcoming videos on Continuum Mechanics. Could you please suggest some books/reading materials to follow along as we progress? Thanks in advance.

mgokul
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lol yeah writing x = X(X, T) is very useful. I am sure that equation has helped engineers actually get more things done correctly in a shorter amount of time. People are so stuck in the class room and text book style of learning that you can't see what could be better. There are so many ways to explain this concept more visually and in a clearer way.

DennisZIyanChen
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F is just (the matrix of) the total derivative of Chi. The total derivative is the best linear approximation of a function from R^m to R^n, In this case of Chi which is a function from R^3 to R^3 (keeping t fixed).

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