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In the following Lecture of Structural geology, the Lecturer has explained the following terms : Rheology, Materials, Materials Fall, Elasticity, Viscosity, Plasticity, Strain Relations, Mechanical Analogues, Recoverable Versus, Real Materials
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o Elasticity.
o Viscosity.
o Plasticity.
Ideal materials fall into one of the following categories:
Different materials deform differently under the same state of stress. The material response to a stress is known as rheology.
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Elastic
Plastic
Viscous
Mechanical analogues Stress-Strain relations
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Real materials exhibit a variety of behaviors:
from ic.ucsc.edu/~casey/eart150/Lectures/Rheology/13rheology.htm Docsity.com
The behavior of real materials is better described by combining simple models in series or parallel. For example:
A visco-elastic (or Maxwell) solid:
An elasto-plastic (Prandtl) material:
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The one-dimensional stress-strain relationship may be written as:
where C is an elastic constant.
o The response is instantaneous. o Here the strain is the infinitesimal strain.
Note that:
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The material is said to be linear elastic if n=1.
Hooke’s law:
σ = C ε
In three dimensions, Hooke’s law is written as:
σ (^) ij = Cijkl ε kl
where Cijkl is a matrix whose entries are the stiffness coefficients.
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