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Understanding Kinematics and Deformation in Continuum Mechanics

Explore kinematics of material points in Eulerian and Lagrangian coordinates, displacement, velocity, acceleration, deformation gradient, Jacobian, strain tensors, and differential measurements in continuum mechanics.

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Understanding Kinematics and Deformation in Continuum Mechanics

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  1. cm_part21 Continuum Mechanics, part 21 Kinematics_1 Point in space, material point Displacement, velocity, acceleration Eulerian, Lagrangian coordinates Deformation gradient, Jacobian Material, spatial displacement gradient Green-Lagrange and Almansi strain tensors

  2. Alternative notation Eulerian coordinates Lagrangian coordinates

  3. The measure we are looking for should be independent of rigid body rotation and the choice of coordinate system

  4. Relative displacement vector Material displacement gradient [Z] total differential

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