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Solid Mechanics I
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Solid Mechanics I
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C8: Strain Transformation
8.1 Equations of Strain Transformation
- Theory - Example
8.2 Mohr’s Circle for Strain
- Theory - Example - Question 1
8.3 Generalised Hooke’s Law
- Theory - Example - Question 1 - Question 2
8.4 Theories of Failure
- Theory - Example - Question 1 - Question 2

C8.2 Mohr’s Circle for Strain

Like strain transformation, the Mohr’s circle for strain is just like the one for stress, except that σx, σy, τxy are converted to εx, εy, γxy/2 instead.

The construction steps are exactly the same as the Mohr’s circle for stress:


Mohr's circle for strain construction steps

C8.2 Mohr’s Circle for Strain

Like strain transformation, the Mohr’s circle for strain is just like the one for stress, except that σx, σy, τxy are converted to εx, εy, γxy/2 instead.

The construction steps are exactly the same as the Mohr’s circle for stress:


Mohr's circle for strain construction steps
Mohr's circle for strain construction steps

Like the Mohr’s circle for stress, you can obtain θp, θs and also strains based on other θ (e.g. θ = 30o) from the Mohr’s circle for strain.

And again, like the Mohr’s circle for stress, we have the 3D strain Mohr’s circle.

3D Mohr’s circle for strain

We won’t go through the explanation of the 3rd strain dimension as the same principal was already covered in Chapter 7.4.

The main point is that there is also a γabs-max. Here, we present the 3 possible configurations of the 3D Mohr’s circle for strain:


Configurations for 3D Mohr's circle for strain

Let’s look at an example now.

Mohr's circle for strain construction steps

Like the Mohr’s circle for stress, you can obtain θp, θs and also strains based on other θ (e.g. θ = 30o) from the Mohr’s circle for strain.

And again, like the Mohr’s circle for stress, we have the 3D strain Mohr’s circle.

3D Mohr’s circle for strain

We won’t go through the explanation of the 3rd strain dimension as the same principal was already covered in Chapter 7.4.

The main point is that there is also a γabs-max. Here, we present the 3 possible configurations of the 3D Mohr’s circle for strain:


Configurations for 3D Mohr's circle for strain

Let’s look at an example now.

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