Latest Blog Posts for Rock Mechanics

• Mohr's circle diagram in three dimensions
  on Jun 29, 2010 in normal stress plane mohr shear stress
  Mohr’s diagram is a useful graphical representation of the stress state at a point. In this graphical representation the state of stress at a point is represented by the Mohr circle diagram, in which the abscissa σn and Sn give the normal and shea...
• Mohr's circle diagram in three dimensions
  on Jun 29, 2010 in normal stress plane mohr shear stress
  Mohr’s diagram is a useful graphical representation of the stress state at a point. In this graphical representation the state of stress at a point is represented by the Mohr circle diagram, in which the abscissa σn and Sn give the normal and shea...
• Octahedral stresses
  on Jun 28, 2010 in normal stress octahedral stress shear stress
  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 (see also the article: Principal stresse...
• Octahedral stresses
  on Jun 28, 2010 in normal stress octahedral stress shear stress
  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 (see also the article: Principal stresse...
• Principal stresses and stress invariants
  on Jun 25, 2010 in tensor stress invariants principal stress Cauchy stress direction cosine
  In this article we will discuss the derivation of the principal stresses and the stress invariants from a Cauchy stress tensor. The principal stresses and the stress invariants are important parameters that are used in failure criteria, plasticity, M...
• Calculation of normal and shear stress on a plane
  on Jun 25, 2010 in normal stress Cauchy stress plane shear stress
  Frequently it is necessary to calculate the normal and the shear stress on an arbitrary plane (with unit normal vector n) that crosses a rigid body in equilibrium. Faults or cracks that cross the rock mass and may lead to rock failure are cases that...
• Transformation of a stress tensor to a new coordinate system
  on Jun 25, 2010 in tensor Cauchy stress direction cosine transformation
  The transformation (rotation) of a stress 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. Consider a rigid b...
• Principal stresses and stress invariants
  on Jun 25, 2010 in tensor stress invariants principal stress Cauchy stress direction cosine
  In this article we will discuss the derivation of the principal stresses and the stress invariants from a Cauchy stress tensor. The principal stresses and the stress invariants are important parameters that are used in failure criteria, plasticity, M...
• Deviatoric stress and invariants
  on Jun 25, 2010 in tensor stress invariants principal stress Cauchy stress deviatoric stress shear stress hydrostatic stress
  The stress tensor can be expressed as the sum of two stress tensors, namely: the hydrostatic stress tensor and the deviatoric stress tensor. In this article we will define the hydrostatic and the deviatoric part of the stress tensor and we will calcu...
• Deviatoric stress and invariants
  on Jun 25, 2010 in tensor stress invariants principal stress Cauchy stress deviatoric stress shear stress hydrostatic stress
  The stress tensor can be expressed as the sum of two stress tensors, namely: the hydrostatic stress tensor and the deviatoric stress tensor. In this article we will define the hydrostatic and the deviatoric part of the stress tensor and we will calcu...

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