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Mohr’s circle for plane stress
Published on 2010-12-10 08:37:09
Mohr's circle is a graphical representation of the stress state of a point inside a body under plane stress loading. Continue reading → > read more
Plane stress
Published on 2010-11-22 06:27:44
Plane state of stress or simply plane stress we call a special case of loading which usually occurs to solid bodies where one dimension is very small compared to the other two. Continue reading → > read more
Equilibrium equations
Published on 2010-11-19 07:53:36
A solid body is in static equilibrium when the resultant force and moment on each axis is equal to zero. This can be expressed by the equilibrium equations. Continue reading → > read more
Index notation for tensors and vectors
Published on 2010-11-16 06:54:53
Index notation is used extensively in literature when dealing with stresses, strains and constitutive equations. The reason is that it reduces drastically the number of terms in an equation and simplifies the expressions. Continue reading → > read more
Mohr’s circle in 3 dimensions
Published on 2010-06-29 07:43:48
Mohr's diagram is a useful graphical representation of the stress state at a point. In this article we will describe the methodology to construct this diagram in the general three dimensional case. Continue reading → > read more
Octahedral stresses
Published on 2010-06-25 07:11:02
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 form > read more
Deviatoric stress and invariants
Published on 2010-06-24 09:50:28
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 → > read more
Principal stresses and stress invariants
Published on 2010-06-23 12:38:19
In this article we will discuss the derivation of the principal stresses and the stress invariants from a Cauchy stress tensor. Continue reading → > read more
Calculation of normal and shear stress on a plane
Published on 2010-06-22 10:38:11
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 → > read more
Transformation of a tensor to a new coordinate system
Published on 2010-06-22 05:50:33
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 → > read more