Octahedral stresses

Octahedral stress planes

Octahedral stresses we call the normal and shear stresses that are acting on some specific planes inside the stressed body, the octahedral planes. If we consider the principal directions as the coordinate axes, then the plane whose normal vector forms equal angles with the coordinate system is called octahedral plane. Continue reading

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Deviatoric stress and invariants

In this article we will define the hydrostatic and the deviatoric part of the stress tensor and we will calculate the invariants of the stress deviator tensor. Continue reading

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Principal stresses and stress invariants

Principal stresses

In this article we will discuss the derivation of the principal stresses and the stress invariants from a Cauchy stress tensor. Continue reading

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Calculation of normal and shear stress on a plane

Normal and shear component of the stress vector on a plane

In this article we will present the methodology to calculate the normal and the shear stress on an arbitrary plane that crosses a rigid body in equilibrium. Continue reading

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Transformation of a tensor to a new coordinate system

Stress tensor - Elementary volume

The rotation of a tensor into a new coordinate system is a common problem in rock mechanics and in continuum mechanics in general. In this article we will present the necessary equations and an example case. Continue reading

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