Содержание
- 2. LECTURE 1: SCALARS, VECTORS AND TENSORS The velocity vector is given as The acceleration vector is
- 3. LECTURE 1: SCALARS, VECTORS AND TENSORS The components of the force vector can be written as
- 4. LECTURE 1: SCALARS, VECTORS AND TENSORS A scalar can be a function of a vector, a
- 5. LECTURE 1: SCALARS, VECTORS AND TENSORS Consider the volume element below. Each of the six faces
- 6. LECTURE 1: SCALARS, VECTORS AND TENSORS Consider the face below. The face is in the direction
- 7. LECTURE 1: SCALARS, VECTORS AND TENSORS Some conventions are in order Normal stresses are defined to
- 8. Another way to write a vector is in Cartesian form: The coordinates x, y and z
- 9. LECTURE 1: SCALARS, VECTORS AND TENSORS Scalar multiplication: let α be a scalar and = Ai
- 10. LECTURE 1: SCALARS, VECTORS AND TENSORS Magnitude of a vector: A tensor can be constructed by
- 11. LECTURE 1: SCALARS, VECTORS AND TENSORS Kronecker delta δij Since there are two free indices, the
- 12. LECTURE 1: SCALARS, VECTORS AND TENSORS Vectorial cross product: Let be given as Then
- 13. LECTURE 1: SCALARS, VECTORS AND TENSORS Vectorial cross product in tensor notation: Thus for example =
- 14. LECTURE 1: SCALARS, VECTORS AND TENSORS The gradient converts a scalar to a vector. For example,
- 15. LECTURE 1: SCALARS, VECTORS AND TENSORS The curl converts a vector to a vector. For example,
- 17. Скачать презентацию