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CH.2. DEFORMATION AND STRAIN

DEFORMATION AND. STRAIN . Multimedia Course on Continuum Mechanics Overview Introduction Lecture 1. DEFORMATION Gradient Tensor Material DEFORMATION Gradient Tensor Lecture 2. Inverse (Spatial) DEFORMATION Gradient Tensor Lecture 3. Displacements Lecture 4. Displacement Gradient Tensors STRAIN Tensors Green-Lagrange or Material STRAIN Tensor Lecture 5. Euler-Almansi or Spatial STRAIN Tensor Variation of Distances Stretch Lecture 6. Unit elongation Variation of Angles Lecture 7. 2. Overview (cont'd). Physical interpretation of the STRAIN Tensors Lecture 8. Material STRAIN Tensor, E. Spatial STRAIN Tensor, e Lecture 9. Polar Decomposition Lecture 10. Volume Variation Lecture 11. Area Variation Lecture 12. Volumetric STRAIN Lecture 13. Infinitesimal STRAIN Infinitesimal STRAIN Theory STRAIN Tensors Stretch and Unit Elongation Lecture 14. Physical Interpretation of Infinitesimal Strains Engineering Strains Variation of Angles 3.

Properties of the Deformation Gradients The spatial deformation gradient tensor is the inverse of the material deformation gradient tensor: If F is not dependent on the space coordinates, the deformation is said to be homogeneous. Every part of the solid body deforms as the whole does. The associated motion is called affine.

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