Solid Mechanics | 3. Traction vector by Abraham | Learn Smarter
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3. Traction vector

This chapter delves into the concept of the stress tensor, its matrix representation, and its significance in solid mechanics. It introduces the formation and importance of the traction vector across different planes and explains how stress tensors are formulated using these vectors. The representation of vectors and second-order tensors in various coordinate systems is also highlighted, demonstrating the differing representations while maintaining the same physical quantity.

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Sections

  • 1

    Traction Vector

    This section introduces the traction vector, its formulation on an arbitrary plane, and its independence from the choice of planes.

    Learning Practice

  • 2

    Stress Tensor

    This section covers the concept of the stress tensor, its mathematical representation, and its physical significance in mechanics.

    Learning Practice

  • 3

    Representation Of Vectors And Second Order Tensors In A Coordinate System

    This section covers the representation of vectors and second-order tensors in different coordinate systems, emphasizing their independence from the coordinate system used.

    Learning Practice

  • 3.1

    Representation Of Vectors

    This section covers the representation of vectors in different coordinate systems and how this relates to the concept of stress tensor in mechanics.

    Learning Practice

  • 3.2

    Representation Of Second Order Tensors

    This section explains the representation of second-order tensors, specifically the stress tensor, within different coordinate systems.

    Learning Practice

  • 3.2.1

    Representation Of Stress Tensor In Cartesian Coordinate System

    This section discusses how to represent the stress tensor in a Cartesian coordinate system, emphasizing its matrix representation and the analysis of traction components on a cuboid.

    Learning Practice

References

ch3.pdf

Class Notes

Memorization

What we have learnt

  • The traction vector is inde...
  • The stress tensor can be ob...
  • The representation of vecto...

Final Test

Revision Tests