How to Compute the Deformation Gradient using Peridynamics

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In this video the computation of the deformation gradient is shown step by step using peridynamics. The approach shown in here employs only integrals. A clear coding example of the equation is also explained when using Peridigm open source software.
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Thank you for such a nice explanation, is not an easy topic and even though you made it sound easier than it is, please keep posting more about this topic!

yanimi
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Could you please tell me what the shape tensor physically mean? Because I'm struggling to deal with it when it is becoming close to singular during the iterations, and can't understand what to consider as it's inverse for computation of the deformation gradient.

subhanubanerjee
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